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Logarithmic Decrement

# Logarithmic Decrement - CE 573 Structural Dynamics...

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CE 573: Structural Dynamics Logarithmic Decrement – Matlab Example >> u1 = udata(2) (Located from the plot.) u1 = 96.5749 >> u2 = udata(10) (Located from the plot.) u2 = 83.9971 >> delta = log(u1/u2) 1 log , 1. k k u k u + ⎛⎞ == ⎜⎟ ⎝⎠ delta = 0.1395

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>> xi = delta/sqrt(delta^2 + 4*pi^2) xi = 0.0222 >> Td = (10-2)*0.25 (Recall that t for each sample is 0.25.) Td = 2 >> w = (2*pi)/(Td*sqrt(1-xi^2)) w = 3.1424
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Logarithmic Decrement - CE 573 Structural Dynamics...

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