Time-dependent contact mechanics
Mathematical Physics
2023-01-27 v2 math.MP
Symplectic Geometry
Abstract
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this setting we develop the Hamiltonian and Lagrangian formalisms, both in the regular and singular cases. In the singular case, we present a constraint algorithm aiming to find a submanifold where solutions exist. As a particular case we study contact systems with holonomic time-dependent constraints. Some regular and singular examples are analyzed, along with numerical simulations.
Cite
@article{arxiv.2205.09454,
title = {Time-dependent contact mechanics},
author = {Manuel de León and Jordi Gaset and Xavier Gràcia and Miguel Carlos Muñoz-Lecanda and Xavier Rivas},
journal= {arXiv preprint arXiv:2205.09454},
year = {2023}
}
Comments
28pp