A geometric environment for the study of non-holonomic Lagrangian systems is developed. A definition of admissible displacement valid in the presence of arbitrary non-linear kinetic constraints is proposed. The meaning of ideality for non-strictly mechanical systems is analyzed. The concepts of geometric and/or dynamical symmetry of a constrained system are discussed and embodied in a subsequent non-holonomic formulation of Noether theorem. A revisitation of the results in an "extrinsic"variational language is worked out. A few examples and an appendix illustrating some properties of the manifold of admissible kinetic states are presented.
Symmetry and conservation laws in non-holonomic mechanics / Massa, Enrico; Pagani, Enrico. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - ELETTRONICO. - 62:5(2021), pp. 05290101-05290122. [10.1063/5.0046925]
Symmetry and conservation laws in non-holonomic mechanics
Pagani, Enrico
2021-01-01
Abstract
A geometric environment for the study of non-holonomic Lagrangian systems is developed. A definition of admissible displacement valid in the presence of arbitrary non-linear kinetic constraints is proposed. The meaning of ideality for non-strictly mechanical systems is analyzed. The concepts of geometric and/or dynamical symmetry of a constrained system are discussed and embodied in a subsequent non-holonomic formulation of Noether theorem. A revisitation of the results in an "extrinsic"variational language is worked out. A few examples and an appendix illustrating some properties of the manifold of admissible kinetic states are presented.File | Dimensione | Formato | |
---|---|---|---|
Massa - Pagani - Symmetry and conservation laws in nonholonomic mechanics - J. Math. Phys. 62, 052901 (2021) doi.org:10.1063:5.0046925.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
4.51 MB
Formato
Adobe PDF
|
4.51 MB | Adobe PDF | Visualizza/Apri |
2021-02-09+-+Massa+-+Pagani+-+Symmetry+and+conservation+laws+in+non-holonomic+Mechanics+-+1046918_0_art_file_16649750_qz8417 (1).pdf
Solo gestori archivio
Tipologia:
Pre-print non referato (Non-refereed preprint)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
401.33 kB
Formato
Adobe PDF
|
401.33 kB | Adobe PDF | Visualizza/Apri |
2021-02-09+-+Invio+del+lavoro+a+JMP.pdf
Solo gestori archivio
Tipologia:
Altro materiale allegato (Other attachments)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
211.72 kB
Formato
Adobe PDF
|
211.72 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione