Half-Quadratic Gain method for damping ratio estimation
that should be more precise than the Half-Power method for higher damping ratio values (above 0.05)
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@@ -84,7 +84,10 @@ def compute_mechanical_parameters(psd, freqs):
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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])
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bandwidth = freq_above_half_power - freq_below_half_power
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zeta = bandwidth / (2 * fr)
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bw1 = math.pow(bandwidth/fr,2)
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bw2 = math.pow(bandwidth/fr,4)
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zeta = math.sqrt(0.5-math.sqrt(1/(4+4*bw1-bw2)))
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return fr, zeta, max_power_index
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