Articulo Revista Indexada
Time-dependent contact mechanics
Registro en:
0026-9255
Autor
de León, Manuel
Gaset, Jordi
Gràcia, Xavier
Muñoz-Lecanda, Miguel C.
Rivas, Xavier
Institución
Resumen
Contact geometry allows us 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.