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Constrained Lagrangian dissipative contact dynamics

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de León Rodríguez, Manuel
Lainz Valcázar, Manuel
Muñoz Lecanda, Miguel CarlosMés informacióMés informació
Román Roy, NarcisoMés informacióMés informacióMés informació
Document typeArticle
Defense date2021-12-28
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
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 an ordinary variational calculus with constraints on a Lagrangian with a dissipative variable. The variation of the energy and the other dissipative quantities is also obtained, giving the usual results.
CitationDe Leó, M. [et al.]. Constrained Lagrangian dissipative contact dynamics. "Journal of mathematical physics", 28 Desembre 2021, vol. 62, p. 122902:1-122902:24. 
URIhttp://hdl.handle.net/2117/363512
DOI10.1063/5.0071236
ISSN0022-2488
Publisher versionhttps://aip.scitation.org/doi/10.1063/5.0071236
Other identifiershttps://arxiv.org/abs/2109.05295v2
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  • GEOMVAP - Geometria de Varietats i Aplicacions - Articles de revista [163]
  • Departament de Matemàtiques - Articles de revista [3.003]
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