A Herglotz-based integrator for nonholonomic mechanical systems

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...

Full description

Saved in:

Bibliographic Details
Main Authors:	Maciel, Elias, Ortiz, Inocencio, Schaerer, Christian E
Format:	Journal Article
Language:	English
Published:	13-10-2022
Subjects:	Computer Science - Numerical Analysis Mathematics - Numerical Analysis
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
DOI:	10.48550/arxiv.2210.07388