Constrained Lagrangian dissipative contact dynamics
Mathematical Physics
2022-02-02 v2 High Energy Physics - Theory
math.MP
Abstract
We show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on a dissipative variable with an adequate choice of one constraint. As a consequence we obtain the dynamics of contact nonholonomic and vakonomic systems as ordinary variational calculus with constraints on a Lagrangian with a dissipative variable. The variation of the energy and the other dissipative quantities are also obtained giving the usual results.
Cite
@article{arxiv.2109.05295,
title = {Constrained Lagrangian dissipative contact dynamics},
author = {Manuel de León and Manuel Laínz and Miguel C. Muñoz-Lecanda and Narciso Román-Roy},
journal= {arXiv preprint arXiv:2109.05295},
year = {2022}
}
Comments
32 pp. New sections are added (3.4, 4.3, 5.5). Other minor changes. The bibliography is updated