Global vibration measurement tool
This commit is contained in:
170
K-ShakeTune/K-SnT_directional_vibrations.cfg
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170
K-ShakeTune/K-SnT_directional_vibrations.cfg
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#############################################
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###### DIRECTIONAL VIBRATIONS ANALYSIS ######
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#############################################
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# Written by Frix_x#0161 #
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[gcode_macro DIRECTIONAL_VIBRATIONS_PROFILE]
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gcode:
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{% set size = params.SIZE|default(100)|int %} # size of the circle where the angled lines are done
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{% set z_height = params.Z_HEIGHT|default(20)|int %} # z height to put the toolhead before starting the movements
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# {% set nb_angles = params.TESTED_ANGLES|default(45)|int %} # number of angles to test over 180deg (default is each 180/36 = 5deg)
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{% set max_speed = params.MAX_SPEED|default(200)|float * 60 %} # maximum feedrate for the movements
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{% set speed_increment = params.SPEED_INCREMENT|default(2)|float * 60 %} # feedrate increment between each move
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{% set feedrate_travel = params.TRAVEL_SPEED|default(200)|int * 60 %} # travel feedrate between moves
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{% set accel = params.ACCEL|default(3000)|int %} # accel value used to move on the pattern
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{% set accel_chip = params.ACCEL_CHIP|default("adxl345") %} # ADXL chip name in the config
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{% set keep_results = params.KEEP_N_RESULTS|default(3)|int %}
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{% set keep_csv = params.KEEP_CSV|default(True) %}
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{% set mid_x = printer.toolhead.axis_maximum.x|float / 2 %}
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{% set mid_y = printer.toolhead.axis_maximum.y|float / 2 %}
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{% set min_speed = 2 * 60 %} # minimum feedrate for the movements is set to 2mm/s
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{% set nb_speed_samples = ((max_speed - min_speed) / speed_increment + 1) | int %}
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{% set accel = [accel, printer.configfile.settings.printer.max_accel]|min %}
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{% set old_accel = printer.toolhead.max_accel %}
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{% set old_accel_to_decel = printer.toolhead.max_accel_to_decel %}
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{% set old_sqv = printer.toolhead.square_corner_velocity %}
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{% set kinematics = printer.configfile.settings.printer.kinematics %}
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{% if not 'xyz' in printer.toolhead.homed_axes %}
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{ action_raise_error("Must Home printer first!") }
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{% endif %}
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{% if params.SPEED_INCREMENT|default(2)|float * 100 != (params.SPEED_INCREMENT|default(2)|float * 100)|int %}
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{ action_raise_error("Only 2 decimal digits are allowed for SPEED_INCREMENT") }
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{% endif %}
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{% if (size / (max_speed / 60)) < 0.25 %}
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{ action_raise_error("SIZE is too small for this MAX_SPEED. Increase SIZE or decrease MAX_SPEED!") }
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{% endif %}
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{action_respond_info("")}
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{action_respond_info("Starting machine directional vibrations profile measurement")}
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{action_respond_info("This operation can not be interrupted by normal means. Hit the \"emergency stop\" button to stop it if needed")}
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{action_respond_info("")}
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SAVE_GCODE_STATE NAME=STATE_DIRECTIONAL_VIBRATIONS_PROFILE
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G90
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# Set the wanted acceleration values (not too high to avoid oscillation, not too low to be able to reach constant speed on each segments)
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SET_VELOCITY_LIMIT ACCEL={accel} ACCEL_TO_DECEL={accel} SQUARE_CORNER_VELOCITY={[(accel / 1000), 5.0]|max}
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# Going to the start position
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G1 Z{z_height} F{feedrate_travel / 10}
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G1 X{mid_x } Y{mid_y} F{feedrate_travel}
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{% if kinematics == "cartesian" %}
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# Cartesian motors are on X and Y axis directly
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RESPOND MSG="Cartesian kinematics mode"
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{% set main_angles = [0, 90] %}
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{% elif kinematics == "corexy" %}
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# CoreXY motors are on A and B axis (45 and 135 degrees)
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RESPOND MSG="CoreXY kinematics mode"
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{% set main_angles = [45, 135] %}
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{% else %}
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{ action_raise_error("Only Cartesian and CoreXY kinematics are supported at the moment for the vibrations measurement tool!") }
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{% endif %}
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{% set pi = (3.141592653589793) | float %}
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{% set tau = (pi * 2) | float %}
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{% for curr_angle in main_angles %}
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{% for curr_speed_sample in range(0, nb_speed_samples) %}
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{% set curr_speed = min_speed + curr_speed_sample * speed_increment %}
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{% set rad_angle_full = (curr_angle|float * pi / 180) %}
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# -----------------------------------------------------------------------------------------------------------
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# Here are some maths to approximate the sin and cos values of rad_angle in Jinja
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# Thanks a lot to Aubey! for sharing the idea of using hardcoded Taylor series and
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# the associated bit of code to do it easily! This is pure madness!
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{% set rad_angle = ((rad_angle_full % tau) - (tau / 2)) | float %}
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{% if rad_angle < (-(tau / 4)) %}
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{% set rad_angle = (rad_angle + (tau / 2)) | float %}
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{% set final_mult = (-1) %}
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{% elif rad_angle > (tau / 4) %}
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{% set rad_angle = (rad_angle - (tau / 2)) | float %}
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{% set final_mult = (-1) %}
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{% else %}
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{% set final_mult = (1) %}
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{% endif %}
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{% set sin0 = (rad_angle) %}
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{% set sin1 = ((rad_angle ** 3) / 6) | float %}
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{% set sin2 = ((rad_angle ** 5) / 120) | float %}
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{% set sin3 = ((rad_angle ** 7) / 5040) | float %}
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{% set sin4 = ((rad_angle ** 9) / 362880) | float %}
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{% set sin5 = ((rad_angle ** 11) / 39916800) | float %}
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{% set sin6 = ((rad_angle ** 13) / 6227020800) | float %}
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{% set sin7 = ((rad_angle ** 15) / 1307674368000) | float %}
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{% set sin = (-(sin0 - sin1 + sin2 - sin3 + sin4 - sin5 + sin6 - sin7) * final_mult) | float %}
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{% set cos0 = (1) | float %}
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{% set cos1 = ((rad_angle ** 2) / 2) | float %}
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{% set cos2 = ((rad_angle ** 4) / 24) | float %}
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{% set cos3 = ((rad_angle ** 6) / 720) | float %}
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{% set cos4 = ((rad_angle ** 8) / 40320) | float %}
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{% set cos5 = ((rad_angle ** 10) / 3628800) | float %}
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{% set cos6 = ((rad_angle ** 12) / 479001600) | float %}
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{% set cos7 = ((rad_angle ** 14) / 87178291200) | float %}
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{% set cos = (-(cos0 - cos1 + cos2 - cos3 + cos4 - cos5 + cos6 - cos7) * final_mult) | float %}
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# -----------------------------------------------------------------------------------------------------------
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# Reduce the segments length for the lower speed range (0-100mm/s). The minimum length is 1/3 of the SIZE and is gradually increased
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# to the nominal SIZE at 100mm/s. No further size changes are made above this speed. The goal is to ensure that the print head moves
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# enough to collect enough data for vibration analysis, without doing unnecessary distance to save time. At higher speeds, the full
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# segments lengths are used because the head moves faster and travels more distance in the same amount of time and we want enough data
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{% if curr_speed < (100 * 60) %}
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{% set segment_length_multiplier = 1/3 + 2/3 * (curr_speed / 60) / 100 %}
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{% else %}
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{% set segment_length_multiplier = 1 %}
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{% endif %}
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# Calculate angle coordinates using trigonometry and length multiplier and move to start point
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{% set dx = (size / 2) * cos * segment_length_multiplier %}
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{% set dy = (size / 2) * sin * segment_length_multiplier %}
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G1 X{mid_x - dx} Y{mid_y - dy} F{feedrate_travel}
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# Adjust the number of back and forth movements based on speed to also save time on lower speed range
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# 3 movements are done by default, reduced to 2 between 150-250mm/s and to 1 under 150mm/s.
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{% set movements = 3 %}
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{% if curr_speed < (150 * 60) %}
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{% set movements = 1 %}
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{% elif curr_speed < (250 * 60) %}
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{% set movements = 2 %}
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{% endif %}
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ACCELEROMETER_MEASURE CHIP={accel_chip}
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# Back and forth movements to record the vibrations at constant speed in both direction
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{% for n in range(movements) %}
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G1 X{mid_x + dx} Y{mid_y + dy} F{curr_speed}
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G1 X{mid_x - dx} Y{mid_y - dy} F{curr_speed}
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{% endfor %}
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ACCELEROMETER_MEASURE CHIP={accel_chip} NAME=an{("%.2f" % curr_angle|float)|replace('.','_')}sp{("%.2f" % (curr_speed / 60)|float)|replace('.','_')}
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G4 P300
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M400
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{% endfor %}
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{% endfor %}
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RESPOND MSG="Machine directional vibrations profile generation..."
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RESPOND MSG="This may take some time (3-5min)"
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# RUN_SHELL_COMMAND CMD=shaketune PARAMS="--type dir_vibrations --accel {accel|int} --chip_name {accel_chip} {% if keep_csv %}--keep_csv{% endif %}"
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M400
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# RUN_SHELL_COMMAND CMD=shaketune PARAMS="--type clean --keep_results {keep_results}"
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# Restore the previous acceleration values
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SET_VELOCITY_LIMIT ACCEL={old_accel} ACCEL_TO_DECEL={old_accel_to_decel} SQUARE_CORNER_VELOCITY={old_sqv}
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RESTORE_GCODE_STATE NAME=STATE_DIRECTIONAL_VIBRATIONS_PROFILE
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@@ -1,6 +1,6 @@
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################################################
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#######################################
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###### VIBRATIONS AND SPEED OPTIMIZATIONS ######
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###### SPEED VIBRATIONS ANALYSIS ######
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################################################
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#######################################
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# Written by Frix_x#0161 #
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# Written by Frix_x#0161 #
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[gcode_macro SPEED_VIBRATIONS_PROFILE]
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[gcode_macro SPEED_VIBRATIONS_PROFILE]
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@@ -120,7 +120,7 @@ gcode:
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{% endif %}
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{% endif %}
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{action_respond_info("")}
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{action_respond_info("")}
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{action_respond_info("Starting speed and vibration calibration")}
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{action_respond_info("Starting machine speed vibrations profile measurement")}
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{action_respond_info("This operation can not be interrupted by normal means. Hit the \"emergency stop\" button to stop it if needed")}
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{action_respond_info("This operation can not be interrupted by normal means. Hit the \"emergency stop\" button to stop it if needed")}
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{action_respond_info("")}
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{action_respond_info("")}
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@@ -154,9 +154,9 @@ gcode:
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M400
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M400
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{% endfor %}
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{% endfor %}
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RESPOND MSG="Machine and motors vibration graph generation..."
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RESPOND MSG="Machine speed vibrations profile generation..."
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RESPOND MSG="This may take some time (3-5min)"
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RESPOND MSG="This may take some time (3-5min)"
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RUN_SHELL_COMMAND CMD=shaketune PARAMS="--type vibrations --axis_name {direction} --accel {accel|int} --chip_name {accel_chip} {% if keep_csv %}--keep_csv{% endif %}"
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RUN_SHELL_COMMAND CMD=shaketune PARAMS="--type speed_vibrations --axis_name {direction} --accel {accel|int} --chip_name {accel_chip} {% if keep_csv %}--keep_csv{% endif %}"
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M400
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M400
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RUN_SHELL_COMMAND CMD=shaketune PARAMS="--type clean --keep_results {keep_results}"
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RUN_SHELL_COMMAND CMD=shaketune PARAMS="--type clean --keep_results {keep_results}"
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@@ -122,3 +122,65 @@ def detect_peaks(data, indices, detection_threshold, relative_height_threshold=N
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num_peaks = len(refined_peaks)
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num_peaks = len(refined_peaks)
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return num_peaks, np.array(refined_peaks), indices[refined_peaks]
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return num_peaks, np.array(refined_peaks), indices[refined_peaks]
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# The goal is to find zone outside of peaks (flat low energy zones) in a signal
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def identify_low_energy_zones(power_total, detection_threshold=0.1):
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valleys = []
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# Calculate the a "mean + 1/4" and standard deviation of the entire power_total
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mean_energy = np.mean(power_total) + (np.max(power_total) - np.min(power_total))/4
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std_energy = np.std(power_total)
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# Define a threshold value as "mean + 1/4" minus a certain number of standard deviations
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threshold_value = mean_energy - detection_threshold * std_energy
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# Find valleys in power_total based on the threshold
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in_valley = False
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start_idx = 0
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for i, value in enumerate(power_total):
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if not in_valley and value < threshold_value:
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in_valley = True
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start_idx = i
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elif in_valley and value >= threshold_value:
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in_valley = False
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valleys.append((start_idx, i))
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# If the last point is still in a valley, close the valley
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if in_valley:
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valleys.append((start_idx, len(power_total) - 1))
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max_signal = np.max(power_total)
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# Calculate mean energy for each valley as a percentage of the maximum of the signal
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valley_means_percentage = []
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for start, end in valleys:
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if not np.isnan(np.mean(power_total[start:end])):
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valley_means_percentage.append((start, end, (np.mean(power_total[start:end]) / max_signal) * 100))
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# Sort valleys based on mean percentage values
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sorted_valleys = sorted(valley_means_percentage, key=lambda x: x[2])
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return sorted_valleys
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# Calculate or estimate a "similarity" factor between two PSD curves and scale it to a percentage. This is
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# used here to quantify how close the two belts path behavior and responses are close together.
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def compute_curve_similarity_factor(x1, y1, x2, y2, sim_sigmoid_k=0.6):
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# Interpolate PSDs to match the same frequency bins and do a cross-correlation
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y2_interp = np.interp(x1, x2, y2)
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cross_corr = np.correlate(y1, y2_interp, mode='full')
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# Find the peak of the cross-correlation and compute a similarity normalized by the energy of the signals
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peak_value = np.max(cross_corr)
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similarity = peak_value / (np.sqrt(np.sum(y1**2) * np.sum(y2_interp**2)))
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# Apply sigmoid scaling to get better numbers and get a final percentage value
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scaled_similarity = sigmoid_scale(-np.log(1 - similarity), sim_sigmoid_k)
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return scaled_similarity
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# Simple helper to compute a sigmoid scalling (from 0 to 100%)
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def sigmoid_scale(x, k=1):
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return 1 / (1 + np.exp(-k * x)) * 100
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@@ -11,7 +11,7 @@
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################ !!! DO NOT EDIT BELOW THIS LINE !!! ################
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################ !!! DO NOT EDIT BELOW THIS LINE !!! ################
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#####################################################################
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#####################################################################
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import optparse, matplotlib, sys, importlib, os
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import optparse, matplotlib, os
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from datetime import datetime
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from datetime import datetime
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from collections import namedtuple
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from collections import namedtuple
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import numpy as np
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import numpy as np
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@@ -22,7 +22,7 @@ from scipy.interpolate import griddata
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matplotlib.use('Agg')
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matplotlib.use('Agg')
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from locale_utils import set_locale, print_with_c_locale
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from locale_utils import set_locale, print_with_c_locale
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from common_func import compute_spectrogram, detect_peaks, get_git_version, parse_log, setup_klipper_import
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from common_func import compute_spectrogram, detect_peaks, get_git_version, parse_log, setup_klipper_import, compute_curve_similarity_factor
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ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ" # For paired peaks names
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ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ" # For paired peaks names
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@@ -49,28 +49,6 @@ KLIPPAIN_COLORS = {
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# Computation of the PSD graph
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# Computation of the PSD graph
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######################################################################
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######################################################################
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# Calculate or estimate a "similarity" factor between two PSD curves and scale it to a percentage. This is
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# used here to quantify how close the two belts path behavior and responses are close together.
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def compute_curve_similarity_factor(signal1, signal2):
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freqs1 = signal1.freqs
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psd1 = signal1.psd
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freqs2 = signal2.freqs
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psd2 = signal2.psd
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# Interpolate PSDs to match the same frequency bins and do a cross-correlation
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psd2_interp = np.interp(freqs1, freqs2, psd2)
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cross_corr = np.correlate(psd1, psd2_interp, mode='full')
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# Find the peak of the cross-correlation and compute a similarity normalized by the energy of the signals
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peak_value = np.max(cross_corr)
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similarity = peak_value / (np.sqrt(np.sum(psd1**2) * np.sum(psd2_interp**2)))
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# Apply sigmoid scaling to get better numbers and get a final percentage value
|
|
||||||
scaled_similarity = sigmoid_scale(-np.log(1 - similarity), CURVE_SIMILARITY_SIGMOID_K)
|
|
||||||
|
|
||||||
return scaled_similarity
|
|
||||||
|
|
||||||
|
|
||||||
# This function create pairs of peaks that are close in frequency on two curves (that are known
|
# This function create pairs of peaks that are close in frequency on two curves (that are known
|
||||||
# to be resonances points and must be similar on both belts on a CoreXY kinematic)
|
# to be resonances points and must be similar on both belts on a CoreXY kinematic)
|
||||||
def pair_peaks(peaks1, freqs1, psd1, peaks2, freqs2, psd2):
|
def pair_peaks(peaks1, freqs1, psd1, peaks2, freqs2, psd2):
|
||||||
@@ -361,10 +339,6 @@ def plot_difference_spectrogram(ax, signal1, signal2, t, bins, combined_divergen
|
|||||||
# Custom tools
|
# Custom tools
|
||||||
######################################################################
|
######################################################################
|
||||||
|
|
||||||
# Simple helper to compute a sigmoid scalling (from 0 to 100%)
|
|
||||||
def sigmoid_scale(x, k=1):
|
|
||||||
return 1 / (1 + np.exp(-k * x)) * 100
|
|
||||||
|
|
||||||
# Original Klipper function to get the PSD data of a raw accelerometer signal
|
# Original Klipper function to get the PSD data of a raw accelerometer signal
|
||||||
def compute_signal_data(data, max_freq):
|
def compute_signal_data(data, max_freq):
|
||||||
helper = shaper_calibrate.ShaperCalibrate(printer=None)
|
helper = shaper_calibrate.ShaperCalibrate(printer=None)
|
||||||
@@ -405,7 +379,7 @@ def belts_calibration(lognames, klipperdir="~/klipper", max_freq=200.):
|
|||||||
signal2 = signal2._replace(paired_peaks = paired_peaks, unpaired_peaks = unpaired_peaks2)
|
signal2 = signal2._replace(paired_peaks = paired_peaks, unpaired_peaks = unpaired_peaks2)
|
||||||
|
|
||||||
# Compute the similarity (using cross-correlation of the PSD signals)
|
# Compute the similarity (using cross-correlation of the PSD signals)
|
||||||
similarity_factor = compute_curve_similarity_factor(signal1, signal2)
|
similarity_factor = compute_curve_similarity_factor(signal1.freqs, signal1.psd, signal2.freqs, signal2.psd, CURVE_SIMILARITY_SIGMOID_K)
|
||||||
print_with_c_locale(f"Belts estimated similarity: {similarity_factor:.1f}%")
|
print_with_c_locale(f"Belts estimated similarity: {similarity_factor:.1f}%")
|
||||||
# Compute the MHI value from the differential spectrogram sum of gradient, salted with the similarity factor and the number of
|
# Compute the MHI value from the differential spectrogram sum of gradient, salted with the similarity factor and the number of
|
||||||
# unpaired peaks from the belts frequency profile. Be careful, this value is highly opinionated and is pretty experimental!
|
# unpaired peaks from the belts frequency profile. Be careful, this value is highly opinionated and is pretty experimental!
|
||||||
@@ -425,7 +399,7 @@ def belts_calibration(lognames, klipperdir="~/klipper", max_freq=200.):
|
|||||||
fig.set_size_inches(8.3, 11.6)
|
fig.set_size_inches(8.3, 11.6)
|
||||||
|
|
||||||
# Add title
|
# Add title
|
||||||
title_line1 = "RELATIVE BELT CALIBRATION TOOL"
|
title_line1 = "RELATIVE BELTS CALIBRATION TOOL"
|
||||||
fig.text(0.12, 0.965, title_line1, ha='left', va='bottom', fontsize=20, color=KLIPPAIN_COLORS['purple'], weight='bold')
|
fig.text(0.12, 0.965, title_line1, ha='left', va='bottom', fontsize=20, color=KLIPPAIN_COLORS['purple'], weight='bold')
|
||||||
try:
|
try:
|
||||||
filename = lognames[0].split('/')[-1]
|
filename = lognames[0].split('/')[-1]
|
||||||
|
|||||||
541
K-ShakeTune/scripts/graph_dir_vibrations.py
Executable file
541
K-ShakeTune/scripts/graph_dir_vibrations.py
Executable file
@@ -0,0 +1,541 @@
|
|||||||
|
#!/usr/bin/env python3
|
||||||
|
|
||||||
|
##################################################
|
||||||
|
#### DIRECTIONAL VIBRATIONS PLOTTING SCRIPT ######
|
||||||
|
##################################################
|
||||||
|
# Written by Frix_x#0161 #
|
||||||
|
|
||||||
|
# Be sure to make this script executable using SSH: type 'chmod +x ./graph_dir_vibrations.py' when in the folder !
|
||||||
|
|
||||||
|
#####################################################################
|
||||||
|
################ !!! DO NOT EDIT BELOW THIS LINE !!! ################
|
||||||
|
#####################################################################
|
||||||
|
|
||||||
|
import math
|
||||||
|
import optparse, matplotlib, re, os
|
||||||
|
from datetime import datetime
|
||||||
|
from collections import defaultdict
|
||||||
|
import numpy as np
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
import matplotlib.font_manager, matplotlib.ticker, matplotlib.gridspec
|
||||||
|
|
||||||
|
|
||||||
|
matplotlib.use('Agg')
|
||||||
|
|
||||||
|
from locale_utils import set_locale, print_with_c_locale
|
||||||
|
from common_func import get_git_version, parse_log, setup_klipper_import, identify_low_energy_zones, compute_curve_similarity_factor, compute_mechanical_parameters, detect_peaks
|
||||||
|
|
||||||
|
|
||||||
|
PEAKS_DETECTION_THRESHOLD = 0.05
|
||||||
|
PEAKS_RELATIVE_HEIGHT_THRESHOLD = 0.04
|
||||||
|
CURVE_SIMILARITY_SIGMOID_K = 0.5
|
||||||
|
SPEEDS_VALLEY_DETECTION_THRESHOLD = 0.7 # Lower is more sensitive
|
||||||
|
ANGLES_VALLEY_DETECTION_THRESHOLD = 1.1 # Lower is more sensitive
|
||||||
|
|
||||||
|
KLIPPAIN_COLORS = {
|
||||||
|
"purple": "#70088C",
|
||||||
|
"orange": "#FF8D32",
|
||||||
|
"dark_purple": "#150140",
|
||||||
|
"dark_orange": "#F24130",
|
||||||
|
"red_pink": "#F2055C"
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
######################################################################
|
||||||
|
# Computation
|
||||||
|
######################################################################
|
||||||
|
|
||||||
|
# Call to the official Klipper input shaper object to do the PSD computation
|
||||||
|
def calc_freq_response(data):
|
||||||
|
helper = shaper_calibrate.ShaperCalibrate(printer=None)
|
||||||
|
return helper.process_accelerometer_data(data)
|
||||||
|
|
||||||
|
|
||||||
|
# Calculate motor frequency profiles based on the measured Power Spectral Density (PSD) measurements for the machine kinematics
|
||||||
|
# main angles and then create a global motor profile as a weighted average (from their own vibrations) of all calculated profiles
|
||||||
|
def compute_motor_profiles(freqs, psds, all_angles_energy, measured_angles=[0, 90], energy_amplification_factor=2):
|
||||||
|
motor_profiles = {}
|
||||||
|
weighted_sum_profiles = np.zeros_like(freqs)
|
||||||
|
total_weight = 0
|
||||||
|
|
||||||
|
# Creating the PSD motor profiles for each angles
|
||||||
|
for angle in measured_angles:
|
||||||
|
sum_curve = np.zeros_like(freqs)
|
||||||
|
for speed in psds[angle]:
|
||||||
|
sum_curve += psds[angle][speed]
|
||||||
|
|
||||||
|
motor_profiles[angle] = np.convolve(sum_curve / len(psds[angle]), np.ones(20)/20, mode='same')
|
||||||
|
angle_energy = all_angles_energy[angle] ** energy_amplification_factor # First weighting factor based on the total vibrations of the machine at the specified angle
|
||||||
|
curve_area = np.trapz(motor_profiles[angle], freqs) ** energy_amplification_factor # Additional weighting factor based on the area under the current motor profile at this specified angle
|
||||||
|
total_angle_weight = angle_energy * curve_area
|
||||||
|
|
||||||
|
weighted_sum_profiles += motor_profiles[angle] * total_angle_weight
|
||||||
|
total_weight += total_angle_weight
|
||||||
|
|
||||||
|
# Creating a global average motor profile that is the weighted average of all the PSD motor profiles
|
||||||
|
global_motor_profile = weighted_sum_profiles / total_weight if total_weight != 0 else weighted_sum_profiles
|
||||||
|
|
||||||
|
# return motor_profiles, np.convolve(global_motor_profile, np.ones(15)/15, mode='same')
|
||||||
|
return motor_profiles, global_motor_profile
|
||||||
|
|
||||||
|
|
||||||
|
# Since it was discovered that there is no non-linear mixing in the stepper "steps" vibrations, instead of measuring
|
||||||
|
# the effects of each speeds at each angles, this function simplify it by using only the main motors axes (X/Y for Cartesian
|
||||||
|
# printers and A/B for CoreXY) measurements and project each points on the [0,360] degrees range using trigonometry
|
||||||
|
# to "sum" the vibration impact of each axis at every points of the generated spectrogram. The result is very similar at the end.
|
||||||
|
def compute_dir_speed_spectrogram(measured_speeds, data, kinematics="cartesian", measured_angles=[0, 90]):
|
||||||
|
# We want to project the motor vibrations measured on their own axes on the [0, 360] range
|
||||||
|
spectrum_angles = np.linspace(0, 360, 720) # One point every 0.5 degrees
|
||||||
|
spectrum_speeds = np.linspace(min(measured_speeds), max(measured_speeds), len(measured_speeds) * 5) # 5 points between each speed measurements
|
||||||
|
spectrum_vibrations = np.zeros((len(spectrum_angles), len(spectrum_speeds)))
|
||||||
|
|
||||||
|
def get_interpolated_vibrations(data, speed, speeds):
|
||||||
|
idx = np.searchsorted(speeds, speed, side="left")
|
||||||
|
if idx == 0: return data[speeds[0]]
|
||||||
|
if idx == len(speeds): return data[speeds[-1]]
|
||||||
|
lower_speed = speeds[idx - 1]
|
||||||
|
upper_speed = speeds[idx]
|
||||||
|
lower_vibrations = data.get(lower_speed, 0)
|
||||||
|
upper_vibrations = data.get(upper_speed, 0)
|
||||||
|
interpolated_vibrations = lower_vibrations + (speed - lower_speed) * (upper_vibrations - lower_vibrations) / (upper_speed - lower_speed)
|
||||||
|
return interpolated_vibrations
|
||||||
|
|
||||||
|
for target_angle_idx, target_angle in enumerate(spectrum_angles):
|
||||||
|
target_angle_rad = np.deg2rad(target_angle)
|
||||||
|
for target_speed_idx, target_speed in enumerate(spectrum_speeds):
|
||||||
|
if kinematics == "cartesian":
|
||||||
|
speed_1 = np.abs(target_speed * np.cos(target_angle_rad))
|
||||||
|
speed_2 = np.abs(target_speed * np.sin(target_angle_rad))
|
||||||
|
elif kinematics == "corexy":
|
||||||
|
speed_1 = np.abs(target_speed * (np.cos(target_angle_rad) + np.sin(target_angle_rad)) / math.sqrt(2))
|
||||||
|
speed_2 = np.abs(target_speed * (np.cos(target_angle_rad) - np.sin(target_angle_rad)) / math.sqrt(2))
|
||||||
|
|
||||||
|
vibrations_1 = get_interpolated_vibrations(data[measured_angles[0]], speed_1, measured_speeds)
|
||||||
|
vibrations_2 = get_interpolated_vibrations(data[measured_angles[1]], speed_2, measured_speeds)
|
||||||
|
spectrum_vibrations[target_angle_idx, target_speed_idx] = vibrations_1 + vibrations_2
|
||||||
|
|
||||||
|
return spectrum_angles, spectrum_speeds, spectrum_vibrations
|
||||||
|
|
||||||
|
|
||||||
|
def compute_angle_powers(spectrogram_data):
|
||||||
|
angles_powers = np.trapz(spectrogram_data, axis=1)
|
||||||
|
|
||||||
|
# Since we want to plot it on a continuous polar plot later on, we need to append parts of
|
||||||
|
# the array to start and end of it to smooth transitions when doing the convolution
|
||||||
|
# and get the same value at modulo 360. Then we return the array without the extras
|
||||||
|
extra_start = angles_powers[-9:]
|
||||||
|
extra_end = angles_powers[:9]
|
||||||
|
extended_angles_powers = np.concatenate([extra_start, angles_powers, extra_end])
|
||||||
|
convolved_extended = np.convolve(extended_angles_powers, np.ones(15)/15, mode='same')
|
||||||
|
|
||||||
|
return convolved_extended[9:-9]
|
||||||
|
|
||||||
|
|
||||||
|
def compute_speed_powers(spectrogram_data):
|
||||||
|
min_values = np.amin(spectrogram_data, axis=0)
|
||||||
|
max_values = np.amax(spectrogram_data, axis=0)
|
||||||
|
avg_values = np.mean(spectrogram_data, axis=0)
|
||||||
|
energy_variance = np.var(spectrogram_data, axis=0)
|
||||||
|
|
||||||
|
min_values_smooth = np.convolve(min_values, np.ones(15)/15, mode='same')
|
||||||
|
max_values_smooth = np.convolve(max_values, np.ones(15)/15, mode='same')
|
||||||
|
avg_values_smooth = np.convolve(avg_values, np.ones(15)/15, mode='same')
|
||||||
|
energy_variance_smooth = np.convolve(energy_variance, np.ones(15)/15, mode='same')
|
||||||
|
|
||||||
|
return min_values_smooth, max_values_smooth, avg_values_smooth, energy_variance_smooth
|
||||||
|
|
||||||
|
|
||||||
|
# This function uses a nuanced approach to allow the computation of a score that reflect both the shape
|
||||||
|
# similarity of a signal (via cross-correlation) and the energy level consistency across the signal
|
||||||
|
def compute_symmetry_analysis(all_angles, angles_energy):
|
||||||
|
# Split the signal in half
|
||||||
|
first_half_indices = (0 <= all_angles) & (all_angles < 90)
|
||||||
|
second_half_indices = (90 <= all_angles) & (all_angles < 180)
|
||||||
|
x1, y1 = all_angles[first_half_indices], angles_energy[first_half_indices]
|
||||||
|
x2, y2 = all_angles[second_half_indices], angles_energy[second_half_indices]
|
||||||
|
|
||||||
|
# Reverse the second signal to compare them on a real symmetry
|
||||||
|
x2, y2 = x2[::-1], y2[::-1]
|
||||||
|
|
||||||
|
# Compute the similarity (using cross-correlation of the signals)
|
||||||
|
similarity_factor = compute_curve_similarity_factor(x1, y1, x2, y2, CURVE_SIMILARITY_SIGMOID_K)
|
||||||
|
|
||||||
|
# Because the signal of both half have approximately the same shape, this is not enough and we need to
|
||||||
|
# add the total energy of each side in the equation to help discriminate differences in the symmetry
|
||||||
|
energy_first_half = np.sum(y1**2)
|
||||||
|
energy_second_half = np.sum(y2**2)
|
||||||
|
energy_gap = np.abs(energy_first_half/energy_second_half - 1)
|
||||||
|
|
||||||
|
# Compute an adjustement factor where close energies slightly increase the score and farther energies decrease the score
|
||||||
|
if energy_gap <= 0.1: adjustment_factor = 1 + energy_gap
|
||||||
|
else: adjustment_factor = 1 / (1 + 3 * (energy_gap - 0.1))
|
||||||
|
|
||||||
|
# Adjust the similarity factor with the energy disparity
|
||||||
|
adjusted_similarity_factor = similarity_factor * adjustment_factor
|
||||||
|
|
||||||
|
return np.clip(adjusted_similarity_factor, 0, 100)
|
||||||
|
|
||||||
|
######################################################################
|
||||||
|
# Graphing
|
||||||
|
######################################################################
|
||||||
|
|
||||||
|
def plot_angle_profile_polar(ax, angles, angles_powers, low_energy_zones, symmetry_factor):
|
||||||
|
angles_radians = np.deg2rad(angles)
|
||||||
|
|
||||||
|
ax.set_title("Polar angle energy profile", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
||||||
|
ax.set_theta_zero_location('E')
|
||||||
|
ax.set_theta_direction(1)
|
||||||
|
|
||||||
|
ax.plot(angles_radians, angles_powers, color=KLIPPAIN_COLORS['purple'], zorder=5)
|
||||||
|
ax.fill(angles_radians, angles_powers, color=KLIPPAIN_COLORS['purple'], alpha=0.3)
|
||||||
|
ax.set_xlim([0, np.deg2rad(360)])
|
||||||
|
ymax = angles_powers.max() * 1.05
|
||||||
|
ax.set_ylim([0, ymax])
|
||||||
|
ax.set_thetagrids([theta * 15 for theta in range(360//15)])
|
||||||
|
|
||||||
|
ax.text(0, 0, f'Symmetry: {symmetry_factor:.1f}%', ha='center', va='center', color=KLIPPAIN_COLORS['red_pink'], fontsize=12, fontweight='bold', zorder=6)
|
||||||
|
|
||||||
|
for _, (start, end, _) in enumerate(low_energy_zones):
|
||||||
|
ax.axvline(angles_radians[start], angles_powers[start]/ymax, color=KLIPPAIN_COLORS['red_pink'], linestyle='dotted', linewidth=1.5)
|
||||||
|
ax.axvline(angles_radians[end], angles_powers[end]/ymax, color=KLIPPAIN_COLORS['red_pink'], linestyle='dotted', linewidth=1.5)
|
||||||
|
ax.fill_between(angles_radians[start:end], angles_powers[start:end], angles_powers.max() * 1.05, color='green', alpha=0.3)
|
||||||
|
|
||||||
|
ax.xaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.yaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.grid(which='major', color='grey')
|
||||||
|
ax.grid(which='minor', color='lightgrey')
|
||||||
|
|
||||||
|
# Polar plot doesn't follow the gridspec margin, so we adjust it manually here
|
||||||
|
pos = ax.get_position()
|
||||||
|
new_pos = [pos.x0 - 0.005, pos.y0, pos.width * 0.98, pos.height * 0.98]
|
||||||
|
ax.set_position(new_pos)
|
||||||
|
|
||||||
|
return
|
||||||
|
|
||||||
|
def plot_angle_profile(ax, angles, angles_powers, low_energy_zones):
|
||||||
|
ax.set_title("Angle energy profile", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
||||||
|
ax.set_xlabel('Energy')
|
||||||
|
ax.set_ylabel('Angle (deg)')
|
||||||
|
|
||||||
|
ax.plot(angles_powers, angles, color=KLIPPAIN_COLORS['purple'], zorder=5)
|
||||||
|
xmax = angles_powers.max() * 1.1
|
||||||
|
ax.set_xlim([0, xmax])
|
||||||
|
ax.set_ylim([angles.min(), angles.max()])
|
||||||
|
|
||||||
|
for _, (start, end, _) in enumerate(low_energy_zones):
|
||||||
|
ax.axhline(angles[start], 0, angles_powers[start]/xmax, color=KLIPPAIN_COLORS['red_pink'], linestyle='dotted', linewidth=1.5)
|
||||||
|
ax.axhline(angles[end], 0, angles_powers[end]/xmax, color=KLIPPAIN_COLORS['red_pink'], linestyle='dotted', linewidth=1.5)
|
||||||
|
ax.fill_betweenx(angles[start:end], 0, angles_powers[start:end], color='green', alpha=0.3)
|
||||||
|
|
||||||
|
ax.xaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.yaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.grid(which='major', color='grey')
|
||||||
|
ax.grid(which='minor', color='lightgrey')
|
||||||
|
|
||||||
|
return
|
||||||
|
|
||||||
|
def plot_speed_profile(ax, all_speeds, sp_min_energy, sp_max_energy, sp_avg_energy, sp_energy_variance, num_peaks, peaks, low_energy_zones):
|
||||||
|
ax.set_title("Speed energy profile", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
||||||
|
ax.set_xlabel('Speed (mm/s)')
|
||||||
|
ax.set_ylabel('Energy')
|
||||||
|
ax2 = ax.twinx()
|
||||||
|
ax2.yaxis.set_visible(False)
|
||||||
|
|
||||||
|
ax.plot(all_speeds, sp_avg_energy, label='Average energy', color=KLIPPAIN_COLORS['dark_orange'], zorder=5)
|
||||||
|
ax.plot(all_speeds, sp_min_energy, label='Minimum energy', color=KLIPPAIN_COLORS['dark_purple'], zorder=5)
|
||||||
|
ax.plot(all_speeds, sp_max_energy, label='Maximum energy', color=KLIPPAIN_COLORS['purple'], zorder=5)
|
||||||
|
ax2.plot(all_speeds, sp_energy_variance, label=f'Energy variance ({num_peaks} peaks)', color=KLIPPAIN_COLORS['orange'], zorder=5)
|
||||||
|
|
||||||
|
ax.set_xlim([all_speeds.min(), all_speeds.max()])
|
||||||
|
ax.set_ylim([0, sp_max_energy.max() * 1.1])
|
||||||
|
ymax = sp_energy_variance.max() * 1.1
|
||||||
|
ax2.set_ylim([0, ymax])
|
||||||
|
|
||||||
|
if peaks is not None:
|
||||||
|
ax2.plot(all_speeds[peaks], sp_energy_variance[peaks], "x", color='black', markersize=8, zorder=10)
|
||||||
|
for idx, peak in enumerate(peaks):
|
||||||
|
ax2.annotate(f"{idx+1}", (all_speeds[peak], sp_energy_variance[peak]),
|
||||||
|
textcoords="offset points", xytext=(8, 5), fontweight='bold',
|
||||||
|
ha='left', fontsize=13, color=KLIPPAIN_COLORS['red_pink'], zorder=10)
|
||||||
|
|
||||||
|
for idx, (start, end, _) in enumerate(low_energy_zones):
|
||||||
|
ax2.axvline(all_speeds[start], 0, sp_energy_variance[start]/ymax, color=KLIPPAIN_COLORS['red_pink'], linestyle='dotted', linewidth=1.5)
|
||||||
|
ax2.axvline(all_speeds[end], 0, sp_energy_variance[start]/ymax, color=KLIPPAIN_COLORS['red_pink'], linestyle='dotted', linewidth=1.5)
|
||||||
|
ax2.fill_between(all_speeds[start:end], 0, sp_energy_variance[start:end], color='green', alpha=0.3, label=f'Zone {idx+1}: {all_speeds[start]:.1f} to {all_speeds[end]:.1f} mm/s')
|
||||||
|
|
||||||
|
ax.xaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.yaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.grid(which='major', color='grey')
|
||||||
|
ax.grid(which='minor', color='lightgrey')
|
||||||
|
|
||||||
|
fontP = matplotlib.font_manager.FontProperties()
|
||||||
|
fontP.set_size('small')
|
||||||
|
ax.legend(loc='upper left', prop=fontP)
|
||||||
|
ax2.legend(loc='upper right', prop=fontP)
|
||||||
|
|
||||||
|
return
|
||||||
|
|
||||||
|
def plot_motor_profiles(ax, freqs, main_angles, motor_profiles, global_motor_profile):
|
||||||
|
ax.set_title("Motor frequency profile", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
||||||
|
ax.set_ylabel('Energy')
|
||||||
|
ax.set_xlabel('Frequency (Hz)')
|
||||||
|
|
||||||
|
# Global weighted average motor profile
|
||||||
|
ax.plot(freqs, global_motor_profile, label="Combined profile", color=KLIPPAIN_COLORS['purple'], zorder=5)
|
||||||
|
max_value = global_motor_profile.max()
|
||||||
|
|
||||||
|
# And then plot the motor profiles at each measured angles
|
||||||
|
for angle in main_angles:
|
||||||
|
profile_max = motor_profiles[angle].max()
|
||||||
|
if profile_max > max_value:
|
||||||
|
max_value = profile_max
|
||||||
|
ax.plot(freqs, motor_profiles[angle], linestyle='--', label=f'{angle} deg', zorder=2)
|
||||||
|
|
||||||
|
ax.set_xlim([0, 400])
|
||||||
|
ax.set_ylim([0, max_value * 1.1])
|
||||||
|
|
||||||
|
# Then add the motor resonance peak to the graph and print some infos about it
|
||||||
|
motor_fr, motor_zeta, motor_res_idx = compute_mechanical_parameters(global_motor_profile, freqs)
|
||||||
|
if motor_fr > 25:
|
||||||
|
print_with_c_locale("Motors have a main resonant frequency at %.1fHz with an estimated damping ratio of %.3f" % (motor_fr, motor_zeta))
|
||||||
|
else:
|
||||||
|
print_with_c_locale("The detected resonance frequency of the motors is too low (%.1fHz). This is probably due to the test run with too high acceleration!" % motor_fr)
|
||||||
|
print_with_c_locale("Try lowering the ACCEL value before restarting the macro to ensure that only constant speeds are recorded and that the dynamic behavior of the machine is not impacting the measurements.")
|
||||||
|
|
||||||
|
ax.plot(freqs[motor_res_idx], global_motor_profile[motor_res_idx], "x", color='black', markersize=8)
|
||||||
|
ax.annotate(f"R", (freqs[motor_res_idx], global_motor_profile[motor_res_idx]),
|
||||||
|
textcoords="offset points", xytext=(10, 5),
|
||||||
|
ha='right', fontsize=13, color=KLIPPAIN_COLORS['purple'], weight='bold')
|
||||||
|
|
||||||
|
legend_texts = ["Motor resonant frequency (ω0): %.1fHz" % (motor_fr),
|
||||||
|
"Motor damping ratio (ζ): %.3f" % (motor_zeta)]
|
||||||
|
for i, text in enumerate(legend_texts):
|
||||||
|
ax.text(0.90 + i*0.05, 0.98, text, transform=ax.transAxes, color=KLIPPAIN_COLORS['red_pink'], fontsize=12,
|
||||||
|
fontweight='bold', verticalalignment='top', rotation='vertical', zorder=10)
|
||||||
|
|
||||||
|
ax.xaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.yaxis.set_minor_locator(matplotlib.ticker.AutoMinorLocator())
|
||||||
|
ax.grid(which='major', color='grey')
|
||||||
|
ax.grid(which='minor', color='lightgrey')
|
||||||
|
|
||||||
|
fontP = matplotlib.font_manager.FontProperties()
|
||||||
|
fontP.set_size('small')
|
||||||
|
ax.legend(loc='upper left', prop=fontP)
|
||||||
|
|
||||||
|
return
|
||||||
|
|
||||||
|
def plot_vibration_spectrogram_polar(ax, angles, speeds, spectrogram_data):
|
||||||
|
angles_radians = np.radians(angles)
|
||||||
|
|
||||||
|
# Assuming speeds defines the radial distance from the center, we need to create a meshgrid
|
||||||
|
# for both angles and speeds to map the spectrogram data onto a polar plot correctly
|
||||||
|
radius, theta = np.meshgrid(speeds, angles_radians)
|
||||||
|
|
||||||
|
ax.set_title("Polar vibrations heatmap", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold', va='bottom')
|
||||||
|
ax.set_theta_zero_location("E")
|
||||||
|
ax.set_theta_direction(1)
|
||||||
|
|
||||||
|
ax.pcolormesh(theta, radius, spectrogram_data, norm=matplotlib.colors.LogNorm(), cmap='inferno', shading='auto')
|
||||||
|
ax.set_thetagrids([theta * 15 for theta in range(360//15)])
|
||||||
|
ax.tick_params(axis='y', which='both', colors='white', labelsize='medium')
|
||||||
|
ax.set_ylim([0, max(speeds)])
|
||||||
|
|
||||||
|
# Polar plot doesn't follow the gridspec margin, so we adjust it manually here
|
||||||
|
pos = ax.get_position()
|
||||||
|
new_pos = [pos.x0 - 0.01, pos.y0 - 0.01, pos.width, pos.height]
|
||||||
|
ax.set_position(new_pos)
|
||||||
|
|
||||||
|
return
|
||||||
|
|
||||||
|
def plot_vibration_spectrogram(ax, angles, speeds, spectrogram_data, peaks):
|
||||||
|
ax.set_title("Vibrations heatmap", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
||||||
|
ax.set_xlabel('Speed (mm/s)')
|
||||||
|
ax.set_ylabel('Angle (deg)')
|
||||||
|
|
||||||
|
ax.imshow(spectrogram_data, norm=matplotlib.colors.LogNorm(), cmap='inferno',
|
||||||
|
aspect='auto', extent=[speeds[0], speeds[-1], angles[0], angles[-1]],
|
||||||
|
origin='lower', interpolation='antialiased')
|
||||||
|
|
||||||
|
# Add peaks lines in the spectrogram to get hint from peaks found in the first graph
|
||||||
|
if peaks is not None:
|
||||||
|
for idx, peak in enumerate(peaks):
|
||||||
|
ax.axvline(speeds[peak], color='cyan', linewidth=0.75)
|
||||||
|
ax.annotate(f"Peak {idx+1}", (speeds[peak], angles[-1]*0.9),
|
||||||
|
textcoords="data", color='cyan', rotation=90, fontsize=10,
|
||||||
|
verticalalignment='top', horizontalalignment='right')
|
||||||
|
|
||||||
|
return
|
||||||
|
|
||||||
|
|
||||||
|
######################################################################
|
||||||
|
# Startup and main routines
|
||||||
|
######################################################################
|
||||||
|
|
||||||
|
def extract_angle_and_speed(logname):
|
||||||
|
try:
|
||||||
|
match = re.search(r'an(\d+)_\d+sp(\d+)_\d+', os.path.basename(logname))
|
||||||
|
if match:
|
||||||
|
angle = match.group(1)
|
||||||
|
speed = match.group(2)
|
||||||
|
except AttributeError:
|
||||||
|
raise ValueError(f"File {logname} does not match expected format.")
|
||||||
|
return float(angle), float(speed)
|
||||||
|
|
||||||
|
|
||||||
|
def dir_vibrations_profile(lognames, klipperdir="~/klipper", kinematics="cartesian", accel=None, max_freq=1000.):
|
||||||
|
set_locale()
|
||||||
|
global shaper_calibrate
|
||||||
|
shaper_calibrate = setup_klipper_import(klipperdir)
|
||||||
|
|
||||||
|
if kinematics == "cartesian": main_angles = [0, 90]
|
||||||
|
elif kinematics == "corexy": main_angles = [45, 135]
|
||||||
|
else:
|
||||||
|
raise ValueError("Only Cartesian and CoreXY kinematics are supported by this tool at the moment!")
|
||||||
|
|
||||||
|
psds = defaultdict(lambda: defaultdict(list))
|
||||||
|
psds_sum = defaultdict(lambda: defaultdict(list))
|
||||||
|
target_freqs_initialized = False
|
||||||
|
|
||||||
|
for logname in lognames:
|
||||||
|
data = parse_log(logname)
|
||||||
|
angle, speed = extract_angle_and_speed(logname)
|
||||||
|
freq_response = calc_freq_response(data)
|
||||||
|
first_freqs = freq_response.freq_bins
|
||||||
|
psd_sum = freq_response.psd_sum
|
||||||
|
|
||||||
|
if not target_freqs_initialized:
|
||||||
|
target_freqs = first_freqs[first_freqs <= max_freq]
|
||||||
|
target_freqs_initialized = True
|
||||||
|
|
||||||
|
psd_sum = psd_sum[first_freqs <= max_freq]
|
||||||
|
first_freqs = first_freqs[first_freqs <= max_freq]
|
||||||
|
|
||||||
|
# Store the interpolated PSD and integral values
|
||||||
|
psds[angle][speed] = np.interp(target_freqs, first_freqs, psd_sum)
|
||||||
|
psds_sum[angle][speed] = np.trapz(psd_sum, first_freqs)
|
||||||
|
|
||||||
|
measured_angles = sorted(psds_sum.keys())
|
||||||
|
measured_speeds = sorted({speed for angle_speeds in psds_sum.values() for speed in angle_speeds.keys()})
|
||||||
|
|
||||||
|
for main_angle in main_angles:
|
||||||
|
if main_angle not in measured_angles:
|
||||||
|
raise ValueError("Measurements not taken at the correct angles for the specified kinematics!")
|
||||||
|
|
||||||
|
# Precompute the variables used in plot functions
|
||||||
|
all_angles, all_speeds, spectrogram_data = compute_dir_speed_spectrogram(measured_speeds, psds_sum, kinematics, main_angles)
|
||||||
|
all_angles_energy = compute_angle_powers(spectrogram_data)
|
||||||
|
sp_min_energy, sp_max_energy, sp_avg_energy, sp_energy_variance = compute_speed_powers(spectrogram_data)
|
||||||
|
motor_profiles, global_motor_profile = compute_motor_profiles(target_freqs, psds, all_angles_energy, main_angles)
|
||||||
|
|
||||||
|
symmetry_factor = compute_symmetry_analysis(all_angles, all_angles_energy)
|
||||||
|
print_with_c_locale(f"Machine estimated vibration symmetry: {symmetry_factor:.1f}%")
|
||||||
|
|
||||||
|
# Analyze low variance ranges of vibration energy across all angles for each speed to identify clean speeds
|
||||||
|
# and highlight them. Also find the peaks to identify speeds to avoid due to high resonances
|
||||||
|
num_peaks, vibration_peaks, peaks_speeds = detect_peaks(
|
||||||
|
sp_energy_variance, all_speeds,
|
||||||
|
PEAKS_DETECTION_THRESHOLD * sp_energy_variance.max(),
|
||||||
|
PEAKS_RELATIVE_HEIGHT_THRESHOLD, 10, 10
|
||||||
|
)
|
||||||
|
formated_peaks_speeds = ["{:.1f}".format(pspeed) for pspeed in peaks_speeds]
|
||||||
|
print_with_c_locale("Vibrations peaks detected: %d @ %s mm/s (avoid setting a speed near these values in your slicer print profile)" % (num_peaks, ", ".join(map(str, formated_peaks_speeds))))
|
||||||
|
|
||||||
|
good_speeds = identify_low_energy_zones(sp_energy_variance, SPEEDS_VALLEY_DETECTION_THRESHOLD)
|
||||||
|
if good_speeds is not None:
|
||||||
|
print_with_c_locale(f'Lowest vibrations speeds ({len(good_speeds)} ranges sorted from best to worse):')
|
||||||
|
for idx, (start, end, energy) in enumerate(good_speeds):
|
||||||
|
print_with_c_locale(f'{idx+1}: {all_speeds[start]:.1f} to {all_speeds[end]:.1f} mm/s')
|
||||||
|
|
||||||
|
# Angle low energy valleys identification (good angles ranges) and print them to the console
|
||||||
|
good_angles = identify_low_energy_zones(all_angles_energy, ANGLES_VALLEY_DETECTION_THRESHOLD)
|
||||||
|
if good_angles is not None:
|
||||||
|
print_with_c_locale(f'Lowest vibrations angles ({len(good_angles)} ranges sorted from best to worse):')
|
||||||
|
for idx, (start, end, energy) in enumerate(good_angles):
|
||||||
|
print_with_c_locale(f'{idx+1}: {all_angles[start]:.1f}° to {all_angles[end]:.1f}° (mean vibrations energy: {energy:.2f}% of max)')
|
||||||
|
|
||||||
|
# Create graph layout
|
||||||
|
fig, ((ax1, ax2, ax3), (ax4, ax5, ax6)) = plt.subplots(2, 3, gridspec_kw={
|
||||||
|
'height_ratios':[1, 1],
|
||||||
|
'width_ratios':[4, 8, 4],
|
||||||
|
'bottom':0.050,
|
||||||
|
'top':0.890,
|
||||||
|
'left':0.040,
|
||||||
|
'right':0.985,
|
||||||
|
'hspace':0.166,
|
||||||
|
'wspace':0.138
|
||||||
|
})
|
||||||
|
|
||||||
|
# Transform ax3 and ax4 to polar plots
|
||||||
|
ax3.remove()
|
||||||
|
ax3 = fig.add_subplot(2, 3, 3, projection='polar')
|
||||||
|
ax4.remove()
|
||||||
|
ax4 = fig.add_subplot(2, 3, 4, projection='polar')
|
||||||
|
|
||||||
|
# Set the global .png figure size
|
||||||
|
fig.set_size_inches(19, 11.6)
|
||||||
|
|
||||||
|
# Add title
|
||||||
|
title_line1 = "MACHINE VIBRATIONS ANALYSIS TOOL"
|
||||||
|
fig.text(0.060, 0.965, title_line1, ha='left', va='bottom', fontsize=20, color=KLIPPAIN_COLORS['purple'], weight='bold')
|
||||||
|
try:
|
||||||
|
filename_parts = (lognames[0].split('/')[-1]).split('_')
|
||||||
|
dt = datetime.strptime(f"{filename_parts[1]} {filename_parts[2].split('-')[0]}", "%Y%m%d %H%M%S")
|
||||||
|
title_line2 = dt.strftime('%x %X')
|
||||||
|
if accel is not None:
|
||||||
|
title_line2 += ' at ' + str(accel) + ' mm/s²'
|
||||||
|
except:
|
||||||
|
print_with_c_locale("Warning: CSV filename look to be different than expected (%s)" % (lognames[0]))
|
||||||
|
title_line2 = lognames[0].split('/')[-1]
|
||||||
|
fig.text(0.060, 0.957, title_line2, ha='left', va='top', fontsize=16, color=KLIPPAIN_COLORS['dark_purple'])
|
||||||
|
|
||||||
|
# Plot the graphs
|
||||||
|
plot_angle_profile_polar(ax3, all_angles, all_angles_energy, good_angles, symmetry_factor)
|
||||||
|
plot_vibration_spectrogram_polar(ax4, all_angles, all_speeds, spectrogram_data)
|
||||||
|
|
||||||
|
plot_motor_profiles(ax1, target_freqs, main_angles, motor_profiles, global_motor_profile)
|
||||||
|
plot_angle_profile(ax6, all_angles, all_angles_energy, good_angles)
|
||||||
|
plot_speed_profile(ax2, all_speeds, sp_min_energy, sp_max_energy, sp_avg_energy, sp_energy_variance, num_peaks, vibration_peaks, good_speeds)
|
||||||
|
|
||||||
|
plot_vibration_spectrogram(ax5, all_angles, all_speeds, spectrogram_data, vibration_peaks)
|
||||||
|
|
||||||
|
# Adding a small Klippain logo to the top left corner of the figure
|
||||||
|
ax_logo = fig.add_axes([0.001, 0.924, 0.075, 0.075], anchor='NW')
|
||||||
|
ax_logo.imshow(plt.imread(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'klippain.png')))
|
||||||
|
ax_logo.axis('off')
|
||||||
|
|
||||||
|
# Adding Shake&Tune version in the top right corner
|
||||||
|
st_version = get_git_version()
|
||||||
|
if st_version is not None:
|
||||||
|
fig.text(0.995, 0.985, st_version, ha='right', va='bottom', fontsize=8, color=KLIPPAIN_COLORS['purple'])
|
||||||
|
|
||||||
|
return fig
|
||||||
|
|
||||||
|
|
||||||
|
def main():
|
||||||
|
# Parse command-line arguments
|
||||||
|
usage = "%prog [options] <raw logs>"
|
||||||
|
opts = optparse.OptionParser(usage)
|
||||||
|
opts.add_option("-o", "--output", type="string", dest="output",
|
||||||
|
default=None, help="filename of output graph")
|
||||||
|
opts.add_option("-c", "--accel", type="int", dest="accel",
|
||||||
|
default=None, help="accel value to be printed on the graph")
|
||||||
|
opts.add_option("-f", "--max_freq", type="float", default=1000.,
|
||||||
|
help="maximum frequency to graph")
|
||||||
|
opts.add_option("-k", "--klipper_dir", type="string", dest="klipperdir",
|
||||||
|
default="~/klipper", help="main klipper directory")
|
||||||
|
opts.add_option("-m", "--kinematics", type="string", dest="kinematics",
|
||||||
|
default="cartesian", help="machine kinematics configuration")
|
||||||
|
options, args = opts.parse_args()
|
||||||
|
if len(args) < 1:
|
||||||
|
opts.error("No CSV file(s) to analyse")
|
||||||
|
if options.output is None:
|
||||||
|
opts.error("You must specify an output file.png to use the script (option -o)")
|
||||||
|
if options.kinematics not in ["cartesian", "corexy"]:
|
||||||
|
opts.error("Only Cartesian and CoreXY kinematics are supported by this tool at the moment!")
|
||||||
|
|
||||||
|
fig = dir_vibrations_profile(args, options.klipperdir, options.kinematics, options.accel, options.max_freq)
|
||||||
|
fig.savefig(options.output, dpi=150)
|
||||||
|
|
||||||
|
|
||||||
|
if __name__ == '__main__':
|
||||||
|
main()
|
||||||
@@ -33,8 +33,10 @@ MAX_SMOOTHING = 0.1
|
|||||||
|
|
||||||
KLIPPAIN_COLORS = {
|
KLIPPAIN_COLORS = {
|
||||||
"purple": "#70088C",
|
"purple": "#70088C",
|
||||||
|
"orange": "#FF8D32",
|
||||||
"dark_purple": "#150140",
|
"dark_purple": "#150140",
|
||||||
"dark_orange": "#F24130"
|
"dark_orange": "#F24130",
|
||||||
|
"red_pink": "#F2055C"
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|||||||
@@ -5,7 +5,7 @@
|
|||||||
##################################################
|
##################################################
|
||||||
# Written by Frix_x#0161 #
|
# Written by Frix_x#0161 #
|
||||||
|
|
||||||
# Be sure to make this script executable using SSH: type 'chmod +x ./graph_vibrations.py' when in the folder !
|
# Be sure to make this script executable using SSH: type 'chmod +x ./graph_speed_vibrations.py' when in the folder !
|
||||||
|
|
||||||
#####################################################################
|
#####################################################################
|
||||||
################ !!! DO NOT EDIT BELOW THIS LINE !!! ################
|
################ !!! DO NOT EDIT BELOW THIS LINE !!! ################
|
||||||
@@ -21,7 +21,7 @@ import matplotlib.font_manager, matplotlib.ticker, matplotlib.gridspec
|
|||||||
matplotlib.use('Agg')
|
matplotlib.use('Agg')
|
||||||
|
|
||||||
from locale_utils import set_locale, print_with_c_locale
|
from locale_utils import set_locale, print_with_c_locale
|
||||||
from common_func import compute_mechanical_parameters, detect_peaks, get_git_version, parse_log, setup_klipper_import
|
from common_func import compute_mechanical_parameters, detect_peaks, get_git_version, parse_log, setup_klipper_import, identify_low_energy_zones
|
||||||
|
|
||||||
|
|
||||||
PEAKS_DETECTION_THRESHOLD = 0.05
|
PEAKS_DETECTION_THRESHOLD = 0.05
|
||||||
@@ -141,46 +141,6 @@ def compute_motor_profile(power_spectral_densities):
|
|||||||
return smoothed_motor_total_vibration
|
return smoothed_motor_total_vibration
|
||||||
|
|
||||||
|
|
||||||
# The goal is to find zone outside of peaks (flat low energy zones) to advise them as good speeds range to use in the slicer
|
|
||||||
def identify_low_energy_zones(power_total):
|
|
||||||
valleys = []
|
|
||||||
|
|
||||||
# Calculate the mean and standard deviation of the entire power_total
|
|
||||||
mean_energy = np.mean(power_total)
|
|
||||||
std_energy = np.std(power_total)
|
|
||||||
|
|
||||||
# Define a threshold value as mean minus a certain number of standard deviations
|
|
||||||
threshold_value = mean_energy - VALLEY_DETECTION_THRESHOLD * std_energy
|
|
||||||
|
|
||||||
# Find valleys in power_total based on the threshold
|
|
||||||
in_valley = False
|
|
||||||
start_idx = 0
|
|
||||||
for i, value in enumerate(power_total):
|
|
||||||
if not in_valley and value < threshold_value:
|
|
||||||
in_valley = True
|
|
||||||
start_idx = i
|
|
||||||
elif in_valley and value >= threshold_value:
|
|
||||||
in_valley = False
|
|
||||||
valleys.append((start_idx, i))
|
|
||||||
|
|
||||||
# If the last point is still in a valley, close the valley
|
|
||||||
if in_valley:
|
|
||||||
valleys.append((start_idx, len(power_total) - 1))
|
|
||||||
|
|
||||||
max_signal = np.max(power_total)
|
|
||||||
|
|
||||||
# Calculate mean energy for each valley as a percentage of the maximum of the signal
|
|
||||||
valley_means_percentage = []
|
|
||||||
for start, end in valleys:
|
|
||||||
if not np.isnan(np.mean(power_total[start:end])):
|
|
||||||
valley_means_percentage.append((start, end, (np.mean(power_total[start:end]) / max_signal) * 100))
|
|
||||||
|
|
||||||
# Sort valleys based on mean percentage values
|
|
||||||
sorted_valleys = sorted(valley_means_percentage, key=lambda x: x[2])
|
|
||||||
|
|
||||||
return sorted_valleys
|
|
||||||
|
|
||||||
|
|
||||||
# Resample the signal to achieve denser data points in order to get more precise valley placing and
|
# Resample the signal to achieve denser data points in order to get more precise valley placing and
|
||||||
# avoid having to use the original sampling of the signal (that is equal to the speed increment used for the test)
|
# avoid having to use the original sampling of the signal (that is equal to the speed increment used for the test)
|
||||||
def resample_signal(speeds, power_total, new_spacing=0.1):
|
def resample_signal(speeds, power_total, new_spacing=0.1):
|
||||||
@@ -249,7 +209,7 @@ def plot_vibration_spectrogram(ax, speeds, freqs, power_spectral_densities, peak
|
|||||||
for j in range(len(freqs)):
|
for j in range(len(freqs)):
|
||||||
spectrum[j, i] = power_spectral_densities[i][0][j]
|
spectrum[j, i] = power_spectral_densities[i][0][j]
|
||||||
|
|
||||||
ax.set_title("Vibrations spectrogram", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
ax.set_title("Speed vibrations spectrogram", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold')
|
||||||
# ax.pcolormesh(speeds, freqs, spectrum, norm=matplotlib.colors.LogNorm(),
|
# ax.pcolormesh(speeds, freqs, spectrum, norm=matplotlib.colors.LogNorm(),
|
||||||
# cmap='inferno', shading='gouraud')
|
# cmap='inferno', shading='gouraud')
|
||||||
|
|
||||||
@@ -372,7 +332,7 @@ def speed_vibrations_profile(lognames, klipperdir="~/klipper", axisname=None, ac
|
|||||||
PEAKS_DETECTION_THRESHOLD * speeds_powers[0].max(),
|
PEAKS_DETECTION_THRESHOLD * speeds_powers[0].max(),
|
||||||
PEAKS_RELATIVE_HEIGHT_THRESHOLD, 10, 10
|
PEAKS_RELATIVE_HEIGHT_THRESHOLD, 10, 10
|
||||||
)
|
)
|
||||||
low_energy_zones = identify_low_energy_zones(speeds_powers[0])
|
low_energy_zones = identify_low_energy_zones(speeds_powers[0], VALLEY_DETECTION_THRESHOLD)
|
||||||
|
|
||||||
# Print the vibration peaks info in the console
|
# Print the vibration peaks info in the console
|
||||||
formated_peaks_speeds = ["{:.1f}".format(pspeed) for pspeed in peaks_speeds]
|
formated_peaks_speeds = ["{:.1f}".format(pspeed) for pspeed in peaks_speeds]
|
||||||
@@ -401,7 +361,7 @@ def speed_vibrations_profile(lognames, klipperdir="~/klipper", axisname=None, ac
|
|||||||
fig.set_size_inches(14, 11.6)
|
fig.set_size_inches(14, 11.6)
|
||||||
|
|
||||||
# Add title
|
# Add title
|
||||||
title_line1 = "VIBRATIONS MEASUREMENT TOOL"
|
title_line1 = "SPEED VIBRATIONS ANALYSIS"
|
||||||
fig.text(0.075, 0.965, title_line1, ha='left', va='bottom', fontsize=20, color=KLIPPAIN_COLORS['purple'], weight='bold')
|
fig.text(0.075, 0.965, title_line1, ha='left', va='bottom', fontsize=20, color=KLIPPAIN_COLORS['purple'], weight='bold')
|
||||||
try:
|
try:
|
||||||
filename_parts = (lognames[0].split('/')[-1]).split('_')
|
filename_parts = (lognames[0].split('/')[-1]).split('_')
|
||||||
|
|||||||
@@ -28,7 +28,7 @@ from graph_shaper import shaper_calibration
|
|||||||
from graph_speed_vibrations import speed_vibrations_profile
|
from graph_speed_vibrations import speed_vibrations_profile
|
||||||
from analyze_axesmap import axesmap_calibration
|
from analyze_axesmap import axesmap_calibration
|
||||||
|
|
||||||
RESULTS_SUBFOLDERS = ['belts', 'inputshaper', 'vibrations']
|
RESULTS_SUBFOLDERS = ['belts', 'inputshaper', 'speed_vibrations', 'dir_vibrations']
|
||||||
|
|
||||||
|
|
||||||
def is_file_open(filepath):
|
def is_file_open(filepath):
|
||||||
@@ -132,7 +132,7 @@ def create_shaper_graph(keep_csv, max_smoothing, scv):
|
|||||||
return axis
|
return axis
|
||||||
|
|
||||||
|
|
||||||
def create_vibrations_graph(axis_name, accel, chip_name, keep_csv):
|
def create_speed_vibrations_graph(axis_name, accel, chip_name, keep_csv):
|
||||||
current_date = datetime.now().strftime('%Y%m%d_%H%M%S')
|
current_date = datetime.now().strftime('%Y%m%d_%H%M%S')
|
||||||
lognames = []
|
lognames = []
|
||||||
|
|
||||||
@@ -221,7 +221,7 @@ def clean_files(keep_results):
|
|||||||
# Find old files in each directory
|
# Find old files in each directory
|
||||||
old_belts_files = get_old_files(os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[0]), '.png', keep1)
|
old_belts_files = get_old_files(os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[0]), '.png', keep1)
|
||||||
old_inputshaper_files = get_old_files(os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[1]), '.png', keep2)
|
old_inputshaper_files = get_old_files(os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[1]), '.png', keep2)
|
||||||
old_vibrations_files = get_old_files(os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[2]), '.png', keep1)
|
old_speed_vibr_files = get_old_files(os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[2]), '.png', keep1)
|
||||||
|
|
||||||
# Remove the old belt files
|
# Remove the old belt files
|
||||||
for old_file in old_belts_files:
|
for old_file in old_belts_files:
|
||||||
@@ -240,7 +240,7 @@ def clean_files(keep_results):
|
|||||||
os.remove(old_file)
|
os.remove(old_file)
|
||||||
|
|
||||||
# Remove the old vibrations files
|
# Remove the old vibrations files
|
||||||
for old_file in old_vibrations_files:
|
for old_file in old_speed_vibr_files:
|
||||||
os.remove(old_file)
|
os.remove(old_file)
|
||||||
tar_file = os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[2], os.path.splitext(os.path.basename(old_file))[0] + ".tar.gz")
|
tar_file = os.path.join(RESULTS_FOLDER, RESULTS_SUBFOLDERS[2], os.path.splitext(os.path.basename(old_file))[0] + ".tar.gz")
|
||||||
if os.path.exists(tar_file):
|
if os.path.exists(tar_file):
|
||||||
@@ -271,8 +271,8 @@ def main():
|
|||||||
|
|
||||||
if options.type is None:
|
if options.type is None:
|
||||||
opts.error("You must specify the type of output graph you want to produce (option -t)")
|
opts.error("You must specify the type of output graph you want to produce (option -t)")
|
||||||
elif options.type.lower() is None or options.type.lower() not in ['belts', 'shaper', 'vibrations', 'axesmap', 'clean']:
|
elif options.type.lower() is None or options.type.lower() not in ['belts', 'shaper', 'speed_vibrations', 'axesmap', 'clean']:
|
||||||
opts.error("Type of output graph need to be in the list of 'belts', 'shaper', 'vibrations', 'axesmap' or 'clean'")
|
opts.error("Type of output graph need to be in the list of 'belts', 'shaper', 'speed_vibrations', 'axesmap' or 'clean'")
|
||||||
else:
|
else:
|
||||||
graph_mode = options.type
|
graph_mode = options.type
|
||||||
|
|
||||||
@@ -288,8 +288,8 @@ def main():
|
|||||||
elif graph_mode.lower() == 'shaper':
|
elif graph_mode.lower() == 'shaper':
|
||||||
axis = create_shaper_graph(keep_csv=options.keep_csv, max_smoothing=options.max_smoothing, scv=options.scv)
|
axis = create_shaper_graph(keep_csv=options.keep_csv, max_smoothing=options.max_smoothing, scv=options.scv)
|
||||||
print(f"{axis} input shaper graph created. You will find the results in {RESULTS_FOLDER}/{RESULTS_SUBFOLDERS[1]}")
|
print(f"{axis} input shaper graph created. You will find the results in {RESULTS_FOLDER}/{RESULTS_SUBFOLDERS[1]}")
|
||||||
elif graph_mode.lower() == 'vibrations':
|
elif graph_mode.lower() == 'speed_vibrations':
|
||||||
create_vibrations_graph(axis_name=options.axis_name, accel=options.accel_used, chip_name=options.chip_name, keep_csv=options.keep_csv)
|
create_speed_vibrations_graph(axis_name=options.axis_name, accel=options.accel_used, chip_name=options.chip_name, keep_csv=options.keep_csv)
|
||||||
print(f"{options.axis_name} vibration graph created. You will find the results in {RESULTS_FOLDER}/{RESULTS_SUBFOLDERS[2]}")
|
print(f"{options.axis_name} vibration graph created. You will find the results in {RESULTS_FOLDER}/{RESULTS_SUBFOLDERS[2]}")
|
||||||
elif graph_mode.lower() == 'axesmap':
|
elif graph_mode.lower() == 'axesmap':
|
||||||
print(f"WARNING: AXES_MAP_CALIBRATION is currently very experimental and may produce incorrect results... Please validate the output!")
|
print(f"WARNING: AXES_MAP_CALIBRATION is currently very experimental and may produce incorrect results... Please validate the output!")
|
||||||
|
|||||||
@@ -45,6 +45,7 @@ Ensure your machine is homed, then invoke one of the following macros as needed:
|
|||||||
- `COMPARE_BELTS_RESPONSES` for a differential belt resonance graph, useful for checking relative belt tensions and belt path behaviors on a CoreXY printer.
|
- `COMPARE_BELTS_RESPONSES` for a differential belt resonance graph, useful for checking relative belt tensions and belt path behaviors on a CoreXY printer.
|
||||||
- `AXES_SHAPER_CALIBRATION` for standard input shaper graphs, used to mitigate ringing/ghosting by tuning Klipper's input shaper filters.
|
- `AXES_SHAPER_CALIBRATION` for standard input shaper graphs, used to mitigate ringing/ghosting by tuning Klipper's input shaper filters.
|
||||||
- `SPEED_VIBRATIONS_PROFILE` for vibration graphs as a function of toolhead speeds, used to optimize your slicer speed profiles and TMC driver parameters.
|
- `SPEED_VIBRATIONS_PROFILE` for vibration graphs as a function of toolhead speeds, used to optimize your slicer speed profiles and TMC driver parameters.
|
||||||
|
- `DIRECTIONAL_VIBRATIONS_PROFILE` for vibration graphs as a function of toolhead directional movements, used to find problematic angles where the printer could be exposed to more VFAs and optimize your slicer speed profiles and TMC driver parameters.
|
||||||
- `EXCITATE_AXIS_AT_FREQ` to maintain a specific excitation frequency, useful to inspect and find out what is resonating.
|
- `EXCITATE_AXIS_AT_FREQ` to maintain a specific excitation frequency, useful to inspect and find out what is resonating.
|
||||||
|
|
||||||
For further insights on the usage of these macros and the generated graphs, refer to the [K-Shake&Tune module documentation](./docs/README.md).
|
For further insights on the usage of these macros and the generated graphs, refer to the [K-Shake&Tune module documentation](./docs/README.md).
|
||||||
|
|||||||
Reference in New Issue
Block a user