The geometric setup for the study of the non-holonomic Herglotz problem is extended to the case of mechanical kinetic constraints, meant as constraints interacting with the system through corresponding reactive forces. All constraints are assumed to be ideal. Three possible approaches to the determination of the extremals are considered: the direct use of a non-holonomic counterpart of the Lagrange–d’Alembert principle; a formulation à la Poincaré-Cartan, based on the introduction of a suitable differential ideal; an adaptation of the super-lagrangian formalism.
The non-holonomic Herglotz problem dealt with in mechanical terms. Addendum: “The non-holonomic Herglotz variational problem” [J. Math. Phys. 65, 000000 (2024)] / Massa, Enrico; Pagani, Enrico. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - ELETTRONICO. - (2024), pp. 1-9.
The non-holonomic Herglotz problem dealt with in mechanical terms. Addendum: “The non-holonomic Herglotz variational problem” [J. Math. Phys. 65, 000000 (2024)]
Pagani, Enrico
2024-01-01
Abstract
The geometric setup for the study of the non-holonomic Herglotz problem is extended to the case of mechanical kinetic constraints, meant as constraints interacting with the system through corresponding reactive forces. All constraints are assumed to be ideal. Three possible approaches to the determination of the extremals are considered: the direct use of a non-holonomic counterpart of the Lagrange–d’Alembert principle; a formulation à la Poincaré-Cartan, based on the introduction of a suitable differential ideal; an adaptation of the super-lagrangian formalism.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione