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doc:user:integration:scheme:dynimpl [2016/02/04 10:09] – [Damped Alpha-Generalized family] papeleuxdoc:user:integration:scheme:dynimpl [2017/06/16 10:28] (current) papeleux
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 According to ref2 (chapter 3), an easy way to build a diagonal damping matrix is to compute a ponderated sum of the mass and stiffness matrices : According to ref2 (chapter 3), an easy way to build a diagonal damping matrix is to compute a ponderated sum of the mass and stiffness matrices :
-$$\boldsymbol{C} =  a_m \boldsymbol{M} + a_k \boldsymbol{K}$$+$$\boldsymbol{C} =  a_k \boldsymbol{K} + a_m \boldsymbol{M}$$
  
-The modal damping factor corresponding to each eigen pulsation $\omega_{0r}$: +The modal damping factor corresponding to each eigen pulsation $\omega_{0r} = 2 \pi \phi$: 
-$$\epsilon_r=\frac{1}{2}(a_m \omega_{0r} + \frac{a_k}{\omega_{0r}} )$$+$$\epsilon_r=\frac{1}{2}(a_k \omega_{0r} + \frac{a_m}{\omega_{0r}} )$$
  
 telling us that the mass damping factor $a_m$ will induice damping on lowest eigen frequencies and that the stiff damping factor $a_k$ will induce damping on the higher eigen frequencies. telling us that the mass damping factor $a_m$ will induice damping on lowest eigen frequencies and that the stiff damping factor $a_k$ will induce damping on the higher eigen frequencies.
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 <code> <code>
-ti = AlphaGeneralizedIntegration(metafor)+ti = AlphaGeneralizedTimeIntegration(metafor)
 ti.setAlphaM(_AlphaM) ti.setAlphaM(_AlphaM)
 ti.setAlphaF(_AlphaF) ti.setAlphaF(_AlphaF)
doc/user/integration/scheme/dynimpl.1454576999.txt.gz · Last modified: 2016/03/30 15:22 (external edit)

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