doc:user:integration:scheme:dynimpl
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doc:user:integration:scheme:dynimpl [2016/01/18 13:52] – papeleux | doc: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 : | ||
- | $$\boldsymbol{C} = | + | $$\boldsymbol{C} = |
- | The modal damping factor corresponding to each eigen pulsation $\omega_{0r}$: | + | The modal damping factor corresponding to each eigen pulsation $\omega_{0r} |
- | $$\epsilon_r=\frac{1}{2}(a_m \omega_{0r} + \frac{a_k}{\omega_{0r}} )$$ | + | $$\epsilon_r=\frac{1}{2}(a_k \omega_{0r} + \frac{a_m}{\omega_{0r}} )$$ |
- | telling us that the mass damping factor $a_m$ will induice damping on lowest frequencies and that the stiff damping factor $a_k$ will induce damping on the higher frequencies. | + | telling us that the mass damping factor $a_m$ will induice damping on lowest |
< | < | ||
- | ref 1 : "The analysis of the Generalized-$\alpha$ method for non linear dynamic problems" | + | ref 1 : "The analysis of the Generalized-$\alpha$ method for non linear dynamic problems" |
- | ref 2 : " | + | |
+ | ref 2 : " | ||
+ | M.Géradin, D.Rixen - Editions Masson | ||
</ | </ | ||
=== Parameters to the scheme === | === Parameters to the scheme === | ||
* Name of the scheme : '' | * Name of the scheme : '' | ||
* Parameters : | * Parameters : | ||
- | * Evolution | + | * AlphaGeneralizedTimeIntegration parameters has to be defined as usual |
- | * Mass Damping Factor and Stiffness Damping Factor are defined though the [[doc: | + | * update |
+ | * DMUINIT : Damping matrix computed on initial configuration only | ||
+ | * DMUPERSTAGE : Damping matrix computed at each stage change | ||
+ | * DMUPERSTEP : Damping matrix computed at the beginning of each time step (base on previous equilibrated solution | ||
+ | * Mass Damping Factor and Stiffness Damping Factor are defined though the [[doc: | ||
| | ||
==== Generalized Midpoint Rule ==== | ==== Generalized Midpoint Rule ==== | ||
Line 223: | Line 229: | ||
< | < | ||
- | ti = AlphaGeneralizedIntegration(metafor) | + | ti = AlphaGeneralizedTimeIntegration(metafor) |
ti.setAlphaM(_AlphaM) | ti.setAlphaM(_AlphaM) | ||
ti.setAlphaF(_AlphaF) | ti.setAlphaF(_AlphaF) |
doc/user/integration/scheme/dynimpl.1453121530.txt.gz · Last modified: 2016/03/30 15:22 (external edit)