A generalization of Chetaev's principle for a class of higher order nonholonomic constraints

Autores
Cendra, Hernan; Ibort, Alberto; De Leòn, Manuel; De Diego, David Martìn
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The constraint distribution in nonholonomic mechanics has a double role. On the one hand, it is a kinematic constraint, that is, it is a restriction on the motion itself. On the other hand, it is also a restriction on the allowed variations when using D'Alembert's principle to derive the equations of motion. We will show that many systems of physical interest where D'Alembert's principle does not apply can be conveniently modeled within the general idea of the principle of virtual work by the introduction of both kinematic constraints and variational constraints as being independent entities. This includes, for example, elastic rolling bodies and pneumatic tires. Also, D'Alembert's principle and Chetaev's principle fall into this scheme. We emphasize the geometric point of view, avoiding the use of local coordinates, which is the appropriate setting for dealing with questions of global nature, like reduction.
Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Ibort, Alberto. Universidad Carlos III de Madrid. Instituto de Salud; España
Fil: De Leòn, Manuel. Consejo Superior de Investigaciones Científicas; España
Fil: De Diego, David Martìn. Consejo Superior de Investigaciones Científicas; España
Materia
RIGID BODY DYNAMICS
LAGRANGIAN MECHANICS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/97062
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A generalization of Chetaev's principle for a class of higher order nonholonomic constraintsCendra, HernanIbort, AlbertoDe Leòn, ManuelDe Diego, David MartìnRIGID BODY DYNAMICSLAGRANGIAN MECHANICShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The constraint distribution in nonholonomic mechanics has a double role. On the one hand, it is a kinematic constraint, that is, it is a restriction on the motion itself. On the other hand, it is also a restriction on the allowed variations when using D'Alembert's principle to derive the equations of motion. We will show that many systems of physical interest where D'Alembert's principle does not apply can be conveniently modeled within the general idea of the principle of virtual work by the introduction of both kinematic constraints and variational constraints as being independent entities. This includes, for example, elastic rolling bodies and pneumatic tires. Also, D'Alembert's principle and Chetaev's principle fall into this scheme. We emphasize the geometric point of view, avoiding the use of local coordinates, which is the appropriate setting for dealing with questions of global nature, like reduction.Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Ibort, Alberto. Universidad Carlos III de Madrid. Instituto de Salud; EspañaFil: De Leòn, Manuel. Consejo Superior de Investigaciones Científicas; EspañaFil: De Diego, David Martìn. Consejo Superior de Investigaciones Científicas; EspañaAmerican Institute of Physics2004-07-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/97062Cendra, Hernan; Ibort, Alberto; De Leòn, Manuel; De Diego, David Martìn; A generalization of Chetaev's principle for a class of higher order nonholonomic constraints; American Institute of Physics; Journal of Mathematical Physics; 45; 7; 19-7-2004; 2785-28010022-2488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.1763245info:eu-repo/semantics/altIdentifier/doi/10.1063/1.1763245info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:48:06Zoai:ri.conicet.gov.ar:11336/97062instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:48:06.471CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
title A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
spellingShingle A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
Cendra, Hernan
RIGID BODY DYNAMICS
LAGRANGIAN MECHANICS
title_short A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
title_full A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
title_fullStr A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
title_full_unstemmed A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
title_sort A generalization of Chetaev's principle for a class of higher order nonholonomic constraints
dc.creator.none.fl_str_mv Cendra, Hernan
Ibort, Alberto
De Leòn, Manuel
De Diego, David Martìn
author Cendra, Hernan
author_facet Cendra, Hernan
Ibort, Alberto
De Leòn, Manuel
De Diego, David Martìn
author_role author
author2 Ibort, Alberto
De Leòn, Manuel
De Diego, David Martìn
author2_role author
author
author
dc.subject.none.fl_str_mv RIGID BODY DYNAMICS
LAGRANGIAN MECHANICS
topic RIGID BODY DYNAMICS
LAGRANGIAN MECHANICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The constraint distribution in nonholonomic mechanics has a double role. On the one hand, it is a kinematic constraint, that is, it is a restriction on the motion itself. On the other hand, it is also a restriction on the allowed variations when using D'Alembert's principle to derive the equations of motion. We will show that many systems of physical interest where D'Alembert's principle does not apply can be conveniently modeled within the general idea of the principle of virtual work by the introduction of both kinematic constraints and variational constraints as being independent entities. This includes, for example, elastic rolling bodies and pneumatic tires. Also, D'Alembert's principle and Chetaev's principle fall into this scheme. We emphasize the geometric point of view, avoiding the use of local coordinates, which is the appropriate setting for dealing with questions of global nature, like reduction.
Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Ibort, Alberto. Universidad Carlos III de Madrid. Instituto de Salud; España
Fil: De Leòn, Manuel. Consejo Superior de Investigaciones Científicas; España
Fil: De Diego, David Martìn. Consejo Superior de Investigaciones Científicas; España
description The constraint distribution in nonholonomic mechanics has a double role. On the one hand, it is a kinematic constraint, that is, it is a restriction on the motion itself. On the other hand, it is also a restriction on the allowed variations when using D'Alembert's principle to derive the equations of motion. We will show that many systems of physical interest where D'Alembert's principle does not apply can be conveniently modeled within the general idea of the principle of virtual work by the introduction of both kinematic constraints and variational constraints as being independent entities. This includes, for example, elastic rolling bodies and pneumatic tires. Also, D'Alembert's principle and Chetaev's principle fall into this scheme. We emphasize the geometric point of view, avoiding the use of local coordinates, which is the appropriate setting for dealing with questions of global nature, like reduction.
publishDate 2004
dc.date.none.fl_str_mv 2004-07-19
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/97062
Cendra, Hernan; Ibort, Alberto; De Leòn, Manuel; De Diego, David Martìn; A generalization of Chetaev's principle for a class of higher order nonholonomic constraints; American Institute of Physics; Journal of Mathematical Physics; 45; 7; 19-7-2004; 2785-2801
0022-2488
CONICET Digital
CONICET
url http://hdl.handle.net/11336/97062
identifier_str_mv Cendra, Hernan; Ibort, Alberto; De Leòn, Manuel; De Diego, David Martìn; A generalization of Chetaev's principle for a class of higher order nonholonomic constraints; American Institute of Physics; Journal of Mathematical Physics; 45; 7; 19-7-2004; 2785-2801
0022-2488
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.1763245
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.1763245
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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