A Herglotz-based integrator for nonholonomic mechanical systems

10/13/2022

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by   Elias Maciel, et al.

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We propose a numerical scheme for the time-integration of nonholonomic mechanical systems, both conservative and nonconservative. The scheme is obtained by simultaneously discretizing the constraint equations and the Herglotz variational principle. We validate the method using numerical simulations and contrast them against the results of standard methods from the literature.