doc:user:integration:scheme:dynimpl
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| doc:user:integration:scheme:dynimpl [2016/01/18 13:56] – [Damped Alpha-Generalized family] 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 ω0r: | + | 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 am will induice damping on lowest eigen frequencies and that the stiff damping factor ak will induce damping on the higher eigen frequencies. | telling us that the mass damping factor am will induice damping on lowest eigen frequencies and that the stiff damping factor ak will induce damping on the higher eigen frequencies. | ||
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| * Parameters : | * Parameters : | ||
| * AlphaGeneralizedTimeIntegration parameters has to be defined as usual | * AlphaGeneralizedTimeIntegration parameters has to be defined as usual | ||
| - | * Evolution | + | * update |
| - | * Mass Damping Factor and Stiffness Damping Factor are defined though the [[doc: | + | * 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 ==== | ||
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| < | < | ||
| - | ti = AlphaGeneralizedIntegration(metafor) | + | ti = AlphaGeneralizedTimeIntegration(metafor) |
| ti.setAlphaM(_AlphaM) | ti.setAlphaM(_AlphaM) | ||
| ti.setAlphaF(_AlphaF) | ti.setAlphaF(_AlphaF) | ||
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