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Session I.5 - Geometric Integration and Computational Mechanics

Poster

Variational integrators and frequency-dependent damping

Rodrigo Takuro Sato Martin de Almagro

Friedrich-Alexander-Universität Erlangen-Nürnberg , Germany   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The generalized-$\alpha$ method is numerical algorithm for the integration of mechanical systems that can be interpreted as a generalization of other popular algorithms such as the Newmark-$\beta$. It is quite popular among those working on flexible multi body dynamics due to its unconditional stability and frequency-dependent dissipation properties, which allows it to eliminate undesirable high-frequency oscillations that may otherwise compromise the accuracy or the convergence speed of a simulation.

We wondered how could variational methods offer similar advantages by including simple additional forcing terms. This poster is an exploration of this, where we use the wave equation as a model problem. By discretising it using variational methods and inserting dissipative terms, we study their behavior and compare them to analogous results from the generalized-$\alpha$.

Joint work with Sigrid Leyendecker.

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