Contact force multiscale calculation in the framework of the non-smooth dynamic approach

Autores
Cavalieri, Federico J.; Sánchez, Eliana; Cardona, Alberto
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión aceptada
Descripción
Smooth contact models derived from the Hertz theory are widely used in structural dynamics analysis to calculate variable in time forces, stresses, and deformations. However, these models require very small time steps during the period in which bodies are in contact to integrate the equations of motion, yielding in a highly time-consuming numerical solution. Furthermore, penetration between bodies is unavoidable. On the other hand, nonsmooth techniques use an impact law to calculate the impulses. They arrive to a scheme with a constant time step resulting in very efficient calculations. However, these techniques do not provide a straightforward approach to calculate the variable in time contact forces that are needed to verify or design the structural components. In this work, a new methodology of calculation of impact forces that combines the impulse values obtained from non-smooth algorithms together with a local contact force law derived from continuous force models is presented. Thus, the computational time required to calculate the contact forces is reduced significantly. Several numerical examples are presented to show the robustness and performance of the proposed methodology.
Fil: Cavalieri, Federico J. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.
Fil: Cavalieri, Federico J. Universidad Tecnológica Nacional. Facultad Regional Santa Fe. Grupo de Investigación en Enseñanza de la Ingeniería (GIEDI); Argentina.
Fil: Sánchez, Eliana. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.
Fil: Cardona, Alberto. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.
Peer Reviewed
Materia
Non-smooth
Generalized alpha
Impact
Contact
Multibody
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Attribution-NonCommercial-ShareAlike 4.0 International
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/13089
Acceder
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network_acronym_str RIAUTN
repository_id_str a
network_name_str Repositorio Institucional Abierto (UTN)
spelling Contact force multiscale calculation in the framework of the non-smooth dynamic approachCavalieri, Federico J.Sánchez, ElianaCardona, AlbertoNon-smoothGeneralized alphaImpactContactMultibodySmooth contact models derived from the Hertz theory are widely used in structural dynamics analysis to calculate variable in time forces, stresses, and deformations. However, these models require very small time steps during the period in which bodies are in contact to integrate the equations of motion, yielding in a highly time-consuming numerical solution. Furthermore, penetration between bodies is unavoidable. On the other hand, nonsmooth techniques use an impact law to calculate the impulses. They arrive to a scheme with a constant time step resulting in very efficient calculations. However, these techniques do not provide a straightforward approach to calculate the variable in time contact forces that are needed to verify or design the structural components. In this work, a new methodology of calculation of impact forces that combines the impulse values obtained from non-smooth algorithms together with a local contact force law derived from continuous force models is presented. Thus, the computational time required to calculate the contact forces is reduced significantly. Several numerical examples are presented to show the robustness and performance of the proposed methodology.Fil: Cavalieri, Federico J. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.Fil: Cavalieri, Federico J. Universidad Tecnológica Nacional. Facultad Regional Santa Fe. Grupo de Investigación en Enseñanza de la Ingeniería (GIEDI); Argentina.Fil: Sánchez, Eliana. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.Fil: Cardona, Alberto. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.Peer ReviewedInternational Journal of Numerical Method and Engineering2025-05-29T22:04:13Z2025-03-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articulopdfapplication/pdfCavalieri, F.J., Sánchez, E. & Cardona, A. Contact-force multiscale calculation in the framework of the nonsmooth dynamic approach. Multibody Syst Dyn (2025). https://doi.org/10.1007/s11044-025-10063-3https://hdl.handle.net/20.500.12272/13089https://doi.org/10.1007/s11044-025-10063-3engAMECAFE0008102TCAnálisis numérico de vibraciones originadas en rodamientos por medio de una aproximación dinámica no suaveinfo:eu-repo/semantics/openAccessAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/Los autoresCreativeCommonsreponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacional2026-09-24T12:45:00Zoai:ria.utn.edu.ar:20.500.12272/13089instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:45:01.83Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Contact force multiscale calculation in the framework of the non-smooth dynamic approach
title Contact force multiscale calculation in the framework of the non-smooth dynamic approach
spellingShingle Contact force multiscale calculation in the framework of the non-smooth dynamic approach
Cavalieri, Federico J.
Non-smooth
Generalized alpha
Impact
Contact
Multibody
title_short Contact force multiscale calculation in the framework of the non-smooth dynamic approach
title_full Contact force multiscale calculation in the framework of the non-smooth dynamic approach
title_fullStr Contact force multiscale calculation in the framework of the non-smooth dynamic approach
title_full_unstemmed Contact force multiscale calculation in the framework of the non-smooth dynamic approach
title_sort Contact force multiscale calculation in the framework of the non-smooth dynamic approach
dc.creator.none.fl_str_mv Cavalieri, Federico J.
Sánchez, Eliana
Cardona, Alberto
author Cavalieri, Federico J.
author_facet Cavalieri, Federico J.
Sánchez, Eliana
Cardona, Alberto
author_role author
author2 Sánchez, Eliana
Cardona, Alberto
author2_role author
author
dc.subject.none.fl_str_mv Non-smooth
Generalized alpha
Impact
Contact
Multibody
topic Non-smooth
Generalized alpha
Impact
Contact
Multibody
dc.description.none.fl_txt_mv Smooth contact models derived from the Hertz theory are widely used in structural dynamics analysis to calculate variable in time forces, stresses, and deformations. However, these models require very small time steps during the period in which bodies are in contact to integrate the equations of motion, yielding in a highly time-consuming numerical solution. Furthermore, penetration between bodies is unavoidable. On the other hand, nonsmooth techniques use an impact law to calculate the impulses. They arrive to a scheme with a constant time step resulting in very efficient calculations. However, these techniques do not provide a straightforward approach to calculate the variable in time contact forces that are needed to verify or design the structural components. In this work, a new methodology of calculation of impact forces that combines the impulse values obtained from non-smooth algorithms together with a local contact force law derived from continuous force models is presented. Thus, the computational time required to calculate the contact forces is reduced significantly. Several numerical examples are presented to show the robustness and performance of the proposed methodology.
Fil: Cavalieri, Federico J. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.
Fil: Cavalieri, Federico J. Universidad Tecnológica Nacional. Facultad Regional Santa Fe. Grupo de Investigación en Enseñanza de la Ingeniería (GIEDI); Argentina.
Fil: Sánchez, Eliana. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.
Fil: Cardona, Alberto. CONICET-UNL. Centro de Investigación en Métodos Computacionales (CIMEC); Argentina.
Peer Reviewed
description Smooth contact models derived from the Hertz theory are widely used in structural dynamics analysis to calculate variable in time forces, stresses, and deformations. However, these models require very small time steps during the period in which bodies are in contact to integrate the equations of motion, yielding in a highly time-consuming numerical solution. Furthermore, penetration between bodies is unavoidable. On the other hand, nonsmooth techniques use an impact law to calculate the impulses. They arrive to a scheme with a constant time step resulting in very efficient calculations. However, these techniques do not provide a straightforward approach to calculate the variable in time contact forces that are needed to verify or design the structural components. In this work, a new methodology of calculation of impact forces that combines the impulse values obtained from non-smooth algorithms together with a local contact force law derived from continuous force models is presented. Thus, the computational time required to calculate the contact forces is reduced significantly. Several numerical examples are presented to show the robustness and performance of the proposed methodology.
publishDate 2025
dc.date.none.fl_str_mv 2025-05-29T22:04:13Z
2025-03-31
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv Cavalieri, F.J., Sánchez, E. & Cardona, A. Contact-force multiscale calculation in the framework of the nonsmooth dynamic approach. Multibody Syst Dyn (2025). https://doi.org/10.1007/s11044-025-10063-3
https://hdl.handle.net/20.500.12272/13089
https://doi.org/10.1007/s11044-025-10063-3
identifier_str_mv Cavalieri, F.J., Sánchez, E. & Cardona, A. Contact-force multiscale calculation in the framework of the nonsmooth dynamic approach. Multibody Syst Dyn (2025). https://doi.org/10.1007/s11044-025-10063-3
url https://hdl.handle.net/20.500.12272/13089
https://doi.org/10.1007/s11044-025-10063-3
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv AMECAFE0008102TC
Análisis numérico de vibraciones originadas en rodamientos por medio de una aproximación dinámica no suave
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
Attribution-NonCommercial-ShareAlike 4.0 International
http://creativecommons.org/licenses/by-nc-sa/4.0/
Los autores
CreativeCommons
eu_rights_str_mv openAccess
rights_invalid_str_mv Attribution-NonCommercial-ShareAlike 4.0 International
http://creativecommons.org/licenses/by-nc-sa/4.0/
Los autores
CreativeCommons
dc.format.none.fl_str_mv pdf
application/pdf
dc.publisher.none.fl_str_mv International Journal of Numerical Method and Engineering
publisher.none.fl_str_mv International Journal of Numerical Method and Engineering
dc.source.none.fl_str_mv reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
_version_ 1877230892518211584
score 13.265058

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