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Half-Quadratic Gain method for damping ratio estimation

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that should be more precise than the Half-Power method for higher damping ratio values (above 0.05)
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Félix Boisselier
2024-01-29 22:58:32 +01:00
committed by GitHub
parent eab10ce5da 1a4fea3c8c
commit 9fa07a12c4
1 changed files with 4 additions and 1 deletions
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K-ShakeTune/scripts/common_func.py
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@@ -84,7 +84,10 @@ def compute_mechanical_parameters(psd, freqs):
freq_above_half_power = freqs[idx_above - 1] + (half_power - psd[idx_above - 1]) * (freqs[idx_above] - freqs[idx_above - 1]) / (psd[idx_above] - psd[idx_above - 1]) freq_above_half_power = freqs[idx_above - 1] + (half_power - psd[idx_above - 1]) * (freqs[idx_above] - freqs[idx_above - 1]) / (psd[idx_above] - psd[idx_above - 1])
bandwidth = freq_above_half_power - freq_below_half_power bandwidth = freq_above_half_power - freq_below_half_power
zeta = bandwidth / (2 * fr) bw1 = math.pow(bandwidth/fr,2)
bw2 = math.pow(bandwidth/fr,4)
zeta = math.sqrt(0.5-math.sqrt(1/(4+4*bw1-bw2)))
return fr, zeta, max_power_index return fr, zeta, max_power_index