Calculation of Loss Factor on Damped Free Vibration by attenuation method.

Keyword

Loss Factor,Damped Free Vibration,Response displacement or velocity,Amplitude,Frequency,Phase,Damping factor.

Reference

[1]:Japanese Industrial Standards Committee:『Test methods for vibration-damping property in laminated damping steel sheets of constrained type』,JIS G 0602:1993.
[2]:Graham Woan著・堤正義訳:『ケンブリッジ物理公式ハンドブック』,共立出版,pp.76,2007.
[3]:Damping:Wikipedia
[4]:根本佳奈子・塩幡宏規 『モードひずみエネルギー法によるモード減衰比の計算』,Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D 2000(abstract), 339, 2000-09-01

Remarks


・γ:Factor per unit mass. γ=ω0*ζ.
・LaTex: \\\eta =\frac{2\ln\left ( \tan \theta \right )}{\sqrt{\left ( 2\pi \right )^{2}+\left [ \ln\left (\tan\theta \right ) \right ]^{2}}}\\\\x=Ae^{-\gamma t}\sin\left ( \omega t+\phi \right )\, ,\gamma =\omega _{0}\zeta =2\pi f_{0}\zeta\\\\\zeta =\frac{\eta }{2}\, ,\omega =\sqrt{\omega _{0}^{2}-\gamma ^{2}}\, ,\zeta :\textup{Damping Factor}
・Making above Equation Image is powered by CODECOGS

History

・2010/05/11:Upload.