#!/usr/bin/env python3 ################################################## ###### SPEED AND VIBRATIONS PLOTTING SCRIPT ###### ################################################## # Written by Frix_x#0161 # # Be sure to make this script executable using SSH: type 'chmod +x ./graph_vibrations.py' when in the folder ! ##################################################################### ################ !!! DO NOT EDIT BELOW THIS LINE !!! ################ ##################################################################### import optparse, matplotlib, re, os, operator from datetime import datetime from collections import OrderedDict 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 compute_mechanical_parameters, detect_peaks, get_git_version, parse_log, setup_klipper_import PEAKS_DETECTION_THRESHOLD = 0.05 PEAKS_RELATIVE_HEIGHT_THRESHOLD = 0.04 VALLEY_DETECTION_THRESHOLD = 0.1 # 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) def compute_vibration_spectrogram(datas, group, max_freq): psd_list = [] first_freqs = None signal_axes = ['x', 'y', 'z', 'all'] for i in range(0, len(datas), group): # Round up to the nearest power of 2 for faster FFT N = datas[i].shape[0] T = datas[i][-1,0] - datas[i][0,0] M = 1 << int((N/T) * 0.5 - 1).bit_length() if N <= M: # If there is not enough lines in the array to be able to round up to the # nearest power of 2, we need to pad some zeros at the end of the array to # avoid entering a blocking state from Klipper shaper_calibrate.py datas[i] = np.pad(datas[i], [(0, (M-N)+1), (0, 0)], mode='constant', constant_values=0) freqrsp = calc_freq_response(datas[i]) for n in range(group - 1): data = datas[i + n + 1] # Round up to the nearest power of 2 for faster FFT N = data.shape[0] T = data[-1,0] - data[0,0] M = 1 << int((N/T) * 0.5 - 1).bit_length() if N <= M: # If there is not enough lines in the array to be able to round up to the # nearest power of 2, we need to pad some zeros at the end of the array to # avoid entering a blocking state from Klipper shaper_calibrate.py data = np.pad(data, [(0, (M-N)+1), (0, 0)], mode='constant', constant_values=0) freqrsp.add_data(calc_freq_response(data)) if not psd_list: # First group, just put it in the result list first_freqs = freqrsp.freq_bins psd = freqrsp.psd_sum[first_freqs <= max_freq] px = freqrsp.psd_x[first_freqs <= max_freq] py = freqrsp.psd_y[first_freqs <= max_freq] pz = freqrsp.psd_z[first_freqs <= max_freq] psd_list.append([psd, px, py, pz]) else: # Not the first group, we need to interpolate every new signals # to the first one to equalize the frequency_bins between them signal_normalized = dict() freqs = freqrsp.freq_bins for axe in signal_axes: signal = freqrsp.get_psd(axe) signal_normalized[axe] = np.interp(first_freqs, freqs, signal) # Remove data above max_freq on all axes and add to the result list psd = signal_normalized['all'][first_freqs <= max_freq] px = signal_normalized['x'][first_freqs <= max_freq] py = signal_normalized['y'][first_freqs <= max_freq] pz = signal_normalized['z'][first_freqs <= max_freq] psd_list.append([psd, px, py, pz]) return np.array(first_freqs[first_freqs <= max_freq]), np.array(psd_list) def compute_speed_profile(speeds, freqs, psd_list): # Preallocate arrays as psd_list is known and consistent pwrtot_sum = np.zeros(len(psd_list)) pwrtot_x = np.zeros(len(psd_list)) pwrtot_y = np.zeros(len(psd_list)) pwrtot_z = np.zeros(len(psd_list)) for i, psd in enumerate(psd_list): pwrtot_sum[i] = np.trapz(psd[0], freqs) pwrtot_x[i] = np.trapz(psd[1], freqs) pwrtot_y[i] = np.trapz(psd[2], freqs) pwrtot_z[i] = np.trapz(psd[3], freqs) # Resample the signals to get a better detection of the valleys of low energy # and avoid getting limited by the speed increment defined by the user resampled_speeds, resampled_power_sum = resample_signal(speeds, pwrtot_sum) _, resampled_pwrtot_x = resample_signal(speeds, pwrtot_x) _, resampled_pwrtot_y = resample_signal(speeds, pwrtot_y) _, resampled_pwrtot_z = resample_signal(speeds, pwrtot_z) return resampled_speeds, [resampled_power_sum, resampled_pwrtot_x, resampled_pwrtot_y, resampled_pwrtot_z] def compute_motor_profile(power_spectral_densities): # Sum the PSD across all speeds for each frequency of the spectrogram. Basically this # is equivalent to sum up all the spectrogram column by column to plot the total on the right motor_total_vibration = np.sum([psd[0] for psd in power_spectral_densities], axis=0) # Then a very little smoothing of the signal is applied to avoid too much noise and sharp peaks on it and simplify # the resonance frequency and damping ratio estimation later on. Also, too much smoothing is bad and would alter the results smoothed_motor_total_vibration = np.convolve(motor_total_vibration, np.ones(10)/10, mode='same') 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 # 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): new_speeds = np.arange(speeds[0], speeds[-1] + new_spacing, new_spacing) new_power_total = np.interp(new_speeds, speeds, power_total) return np.array(new_speeds), np.array(new_power_total) ###################################################################### # Graphing ###################################################################### def plot_speed_profile(ax, speeds, power_total, num_peaks, peaks, low_energy_zones): # For this function, we have two array for the speeds. Indeed, since the power total sum was resampled to better detect # the valleys of low energy later on, we also need the resampled speed array to plot it. For the rest ax.set_title("Machine speed 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) max_y = power_total[0].max() + power_total[0].max() * 0.05 ax.set_xlim([speeds.min(), speeds.max()]) ax.set_ylim([0, max_y]) ax2.set_ylim([0, max_y]) ax.plot(speeds, power_total[0], label="X+Y+Z", color='purple', zorder=5) ax.plot(speeds, power_total[1], label="X", color='red') ax.plot(speeds, power_total[2], label="Y", color='green') ax.plot(speeds, power_total[3], label="Z", color='blue') if peaks.size: ax.plot(speeds[peaks], power_total[0][peaks], "x", color='black', markersize=8) for idx, peak in enumerate(peaks): fontcolor = 'red' fontweight = 'bold' ax.annotate(f"{idx+1}", (speeds[peak], power_total[0][peak]), textcoords="offset points", xytext=(8, 5), ha='left', fontsize=13, color=fontcolor, weight=fontweight) ax2.plot([], [], ' ', label=f'Number of peaks: {num_peaks}') else: ax2.plot([], [], ' ', label=f'No peaks detected') for idx, (start, end, energy) in enumerate(low_energy_zones): ax.axvline(speeds[start], color='red', linestyle='dotted', linewidth=1.5) ax.axvline(speeds[end], color='red', linestyle='dotted', linewidth=1.5) ax2.fill_between(speeds[start:end], 0, power_total[0][start:end], color='green', alpha=0.2, label=f'Zone {idx+1}: {speeds[start]:.1f} to {speeds[end]:.1f} mm/s (mean energy: {energy:.2f}%)') 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_vibration_spectrogram(ax, speeds, freqs, power_spectral_densities, peaks, fr, max_freq): # Prepare the spectrum data spectrum = np.empty([len(freqs), len(speeds)]) for i in range(len(speeds)): for j in range(len(freqs)): spectrum[j, i] = power_spectral_densities[i][0][j] ax.set_title("Vibrations spectrogram", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold') # ax.pcolormesh(speeds, freqs, spectrum, norm=matplotlib.colors.LogNorm(), # cmap='inferno', shading='gouraud') ax.imshow(spectrum, norm=matplotlib.colors.LogNorm(), cmap='inferno', aspect='auto', extent=[speeds[0], speeds[-1], freqs[0], freqs[-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(peak, color='cyan', linestyle='dotted', linewidth=0.75) ax.annotate(f"Peak {idx+1}", (peak, freqs[-1]*0.9), textcoords="data", color='cyan', rotation=90, fontsize=10, verticalalignment='top', horizontalalignment='right') # Add motor resonance line if fr is not None and fr > 25: ax.axhline(fr, color='cyan', linestyle='dotted', linewidth=1) ax.annotate(f"Motor resonance", (speeds[-1]*0.95, fr+2), textcoords="data", color='cyan', fontsize=10, verticalalignment='bottom', horizontalalignment='right') ax.set_ylim([0., max_freq]) ax.set_ylabel('Frequency (hz)') ax.set_xlabel('Speed (mm/s)') return def plot_motor_profile(ax, freqs, motor_vibration_power, motor_fr, motor_zeta, motor_max_power_index): ax.set_title("Motors frequency profile", fontsize=14, color=KLIPPAIN_COLORS['dark_orange'], weight='bold') ax.set_xlabel('Energy') ax.set_ylabel('Frequency (hz)') ax2 = ax.twinx() ax2.yaxis.set_visible(False) ax.set_ylim([freqs.min(), freqs.max()]) ax.set_xlim([0, motor_vibration_power.max() + motor_vibration_power.max() * 0.1]) # Plot the profile curve ax.plot(motor_vibration_power, freqs, color=KLIPPAIN_COLORS['orange']) # Tag the resonance peak ax.plot(motor_vibration_power[motor_max_power_index], freqs[motor_max_power_index], "x", color='black', markersize=8) fontcolor = KLIPPAIN_COLORS['purple'] fontweight = 'bold' ax.annotate(f"R", (motor_vibration_power[motor_max_power_index], freqs[motor_max_power_index]), textcoords="offset points", xytext=(8, 8), ha='right', fontsize=13, color=fontcolor, weight=fontweight) # Add the legend ax2.plot([], [], ' ', label="Motor resonant frequency (ω0): %.1fHz" % (motor_fr)) ax2.plot([], [], ' ', label="Motor damping ratio (ζ): %.3f" % (motor_zeta)) 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') ax2.legend(loc='upper right', prop=fontP) return ###################################################################### # Startup and main routines ###################################################################### def extract_speed(logname): try: speed = re.search('sp(.+?)n', os.path.basename(logname)).group(1).replace('_','.') except AttributeError: raise ValueError("File %s does not contain speed in its name and therefore " "is not supported by this script." % (logname,)) return float(speed) def sort_and_slice(raw_speeds, raw_datas, remove): # Sort to get the speeds and their datas aligned and in ascending order raw_speeds, raw_datas = zip(*sorted(zip(raw_speeds, raw_datas), key=operator.itemgetter(0))) # Optionally remove the beginning and end of each data file to get only # the constant speed part of the segments and remove the start/stop phase sliced_datas = [] for data in raw_datas: sliced = round((len(data) * remove / 100) / 2) sliced_datas.append(data[sliced:len(data)-sliced]) return raw_speeds, sliced_datas def vibrations_calibration(lognames, klipperdir="~/klipper", axisname=None, accel=None, max_freq=1000., remove=0): set_locale() global shaper_calibrate shaper_calibrate = setup_klipper_import(klipperdir) # Parse the raw data and get them ready for analysis raw_datas = [parse_log(filename) for filename in lognames] raw_speeds = [extract_speed(filename) for filename in lognames] speeds, datas = sort_and_slice(raw_speeds, raw_datas, remove) del raw_datas, raw_speeds # As we assume that we have the same number of file for each speed increment, we can group # the PSD results by this number (to combine all the segments of the pattern at a constant speed) group_by = speeds.count(speeds[0]) # Remove speeds duplicates and graph the processed datas speeds = list(OrderedDict((x, True) for x in speeds).keys()) # Compute speed profile, vibration spectrogram and motor resonance profile freqs, psd = compute_vibration_spectrogram(datas, group_by, max_freq) upsampled_speeds, speeds_powers = compute_speed_profile(speeds, freqs, psd) motor_vibration_power = compute_motor_profile(psd) # Peak detection and low energy valleys (good speeds) identification between the peaks num_peaks, vibration_peaks, peaks_speeds = detect_peaks( speeds_powers[0], upsampled_speeds, PEAKS_DETECTION_THRESHOLD * speeds_powers[0].max(), PEAKS_RELATIVE_HEIGHT_THRESHOLD, 10, 10 ) low_energy_zones = identify_low_energy_zones(speeds_powers[0]) # Print the vibration peaks info in the console 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)))) # Motor resonance estimation motor_fr, motor_zeta, motor_max_power_index = compute_mechanical_parameters(motor_vibration_power, 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 in the corners is not impacting the measurements.") # Create graph layout fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, gridspec_kw={ 'height_ratios':[4, 3], 'width_ratios':[5, 3], 'bottom':0.050, 'top':0.890, 'left':0.057, 'right':0.985, 'hspace':0.166, 'wspace':0.138 }) ax2.remove() # top right graph is not used and left blank for now... fig.set_size_inches(14, 11.6) # Add title title_line1 = "VIBRATIONS MEASUREMENT TOOL" fig.text(0.075, 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 axisname is not None: title_line2 += ' -- ' + str(axisname).upper() + ' axis' 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(0.075, 0.957, title_line2, ha='left', va='top', fontsize=16, color=KLIPPAIN_COLORS['dark_purple']) # Plot the graphs plot_speed_profile(ax1, upsampled_speeds, speeds_powers, num_peaks, vibration_peaks, low_energy_zones) plot_motor_profile(ax4, freqs, motor_vibration_power, motor_fr, motor_zeta, motor_max_power_index) plot_vibration_spectrogram(ax3, speeds, freqs, psd, peaks_speeds, motor_fr, max_freq) # 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] " opts = optparse.OptionParser(usage) opts.add_option("-o", "--output", type="string", dest="output", default=None, help="filename of output graph") opts.add_option("-a", "--axis", type="string", dest="axisname", default=None, help="axis name to be printed on the 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("-r", "--remove", type="int", default=0, help="percentage of data removed at start/end of each CSV files") opts.add_option("-k", "--klipper_dir", type="string", dest="klipperdir", default="~/klipper", help="main klipper directory") 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.remove > 50 or options.remove < 0: opts.error("You must specify a correct percentage (option -r) in the 0-50 range") fig = vibrations_calibration(args, options.klipperdir, options.axisname, options.accel, options.max_freq, options.remove) fig.savefig(options.output, dpi=150) if __name__ == '__main__': main()