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.