A Herglotz-based integrator for nonholonomic mechanical systems
Numerical Analysis
2022-10-17 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2210.07388,
title = {A Herglotz-based integrator for nonholonomic mechanical systems},
author = {Elias Maciel and Inocencio Ortiz and Christian E. Schaerer},
journal= {arXiv preprint arXiv:2210.07388},
year = {2022}
}
Comments
30 pages, 20 figures