Simulation of spherical rigid bodies subject to friction with multiple impacts

Autores
Sánchez, Eliana; Cardona, Alberto; Cosimo, Alejandro; Brüls, Olivier; Cavalieri, Federico J.
Año de publicación
2023
Idioma
español castellano
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
This work introduces a novel methodology for simulating multiple impacts between spherical rigid bodies under frictional contact, within the framework of nonsmooth contact dynamics and the finite element method for large rotations. The approach extends a previously developed frictionless impact algorithm based on Newton’s impact law (Cosimo et al., 2020) to incorporate sliding, rolling, and drilling friction effects. The core contribution lies in the sequential resolution of impact problems over vanishing time intervals, redefining the active contact set in both normal and tangential directions. Closed contacts with zero pre-impact velocity are considered inactive, enhancing numerical robustness.The method employs advanced sphere-plane and sphere-sphere contact elements (Cavalieri et al., 2021), and solves the contact problem using an augmented Lagrangian formulation. The equations of motion are integrated with the nonsmooth generalized-α time integration scheme, ensuring stable and accurate results. A billiard break scenario is used as a numerical benchmark to validate the method’s ability to handle simultaneous impacts with and without friction. Two cases are considered: one without rolling resistance and another including a rolling resistance radius of ρ = 0.005 m. Results demonstrate that the proposed method avoids interpenetration, unlike penalty-based formulations, and significantly reduces computational time from 25,000 s to 40 s. This strategy is efficient, fully automatic, and avoids the need for manual sequencing or topological analysis of impact events, making it a promising tool for complex multibody dynamics simulations.
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.
Fil: Cosimo, Alejandro. University of Liège. Department of Aerospace and Mechanical Engineering. Laboratoire de Techniques Aéro Spatiales (LTAS). Multibody and Mechatronic Systems; Bélgica.
Fil: Brüls, Olivier. University of Liège. Department of Aerospace and Mechanical Engineering. Laboratoire de Techniques Aéro Spatiales (LTAS). Multibody and Mechatronic Systems; Bélgica.
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.
Materia
Multiple impact
Friction
Nonsmooth contact dynamics
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:20.500.12272/13080
Acceder
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spelling Simulation of spherical rigid bodies subject to friction with multiple impactsSánchez, ElianaCardona, AlbertoCosimo, AlejandroBrüls, OlivierCavalieri, Federico J.Multiple impactFrictionNonsmooth contact dynamicsThis work introduces a novel methodology for simulating multiple impacts between spherical rigid bodies under frictional contact, within the framework of nonsmooth contact dynamics and the finite element method for large rotations. The approach extends a previously developed frictionless impact algorithm based on Newton’s impact law (Cosimo et al., 2020) to incorporate sliding, rolling, and drilling friction effects. The core contribution lies in the sequential resolution of impact problems over vanishing time intervals, redefining the active contact set in both normal and tangential directions. Closed contacts with zero pre-impact velocity are considered inactive, enhancing numerical robustness.The method employs advanced sphere-plane and sphere-sphere contact elements (Cavalieri et al., 2021), and solves the contact problem using an augmented Lagrangian formulation. The equations of motion are integrated with the nonsmooth generalized-α time integration scheme, ensuring stable and accurate results. A billiard break scenario is used as a numerical benchmark to validate the method’s ability to handle simultaneous impacts with and without friction. Two cases are considered: one without rolling resistance and another including a rolling resistance radius of ρ = 0.005 m. Results demonstrate that the proposed method avoids interpenetration, unlike penalty-based formulations, and significantly reduces computational time from 25,000 s to 40 s. This strategy is efficient, fully automatic, and avoids the need for manual sequencing or topological analysis of impact events, making it a promising tool for complex multibody dynamics simulations.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.Fil: Cosimo, Alejandro. University of Liège. Department of Aerospace and Mechanical Engineering. Laboratoire de Techniques Aéro Spatiales (LTAS). Multibody and Mechatronic Systems; Bélgica.Fil: Brüls, Olivier. University of Liège. Department of Aerospace and Mechanical Engineering. Laboratoire de Techniques Aéro Spatiales (LTAS). Multibody and Mechatronic Systems; Bélgica.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.11th ECCOMAS2025-05-29T19:57:25Z2023-07info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciapdfapplication/pdfSánchez, E.; Cardona, A.; Cosimo, A.; Brüls, O. & Cavalieri, F. (24-28 de julio de 2023). Simulation of spherical rigid bodies subject to friction with multiple impacts. 11º ECCOMAS Thematic Conference on Multibody Dynamics, Lisboa, Portugal.https://multibody2023.tecnico.ulisboa.pt/prog_MULTIBODY_WEB/MULTBODY2023_ABSTRACTS/ID_64_601_ECCOMAS_2023_abstractCorrected.pdfhttps://hdl.handle.net/20.500.12272/13080spaAMECAFE0008102TCAnálisis 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 Nacional2026-10-01T11:59:53Zoai:ria.utn.edu.ar:20.500.12272/13080instacron: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:a2026-10-01 11:59:53.986Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Simulation of spherical rigid bodies subject to friction with multiple impacts
title Simulation of spherical rigid bodies subject to friction with multiple impacts
spellingShingle Simulation of spherical rigid bodies subject to friction with multiple impacts
Sánchez, Eliana
Multiple impact
Friction
Nonsmooth contact dynamics
title_short Simulation of spherical rigid bodies subject to friction with multiple impacts
title_full Simulation of spherical rigid bodies subject to friction with multiple impacts
title_fullStr Simulation of spherical rigid bodies subject to friction with multiple impacts
title_full_unstemmed Simulation of spherical rigid bodies subject to friction with multiple impacts
title_sort Simulation of spherical rigid bodies subject to friction with multiple impacts
dc.creator.none.fl_str_mv Sánchez, Eliana
Cardona, Alberto
Cosimo, Alejandro
Brüls, Olivier
Cavalieri, Federico J.
author Sánchez, Eliana
author_facet Sánchez, Eliana
Cardona, Alberto
Cosimo, Alejandro
Brüls, Olivier
Cavalieri, Federico J.
author_role author
author2 Cardona, Alberto
Cosimo, Alejandro
Brüls, Olivier
Cavalieri, Federico J.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Multiple impact
Friction
Nonsmooth contact dynamics
topic Multiple impact
Friction
Nonsmooth contact dynamics
dc.description.none.fl_txt_mv This work introduces a novel methodology for simulating multiple impacts between spherical rigid bodies under frictional contact, within the framework of nonsmooth contact dynamics and the finite element method for large rotations. The approach extends a previously developed frictionless impact algorithm based on Newton’s impact law (Cosimo et al., 2020) to incorporate sliding, rolling, and drilling friction effects. The core contribution lies in the sequential resolution of impact problems over vanishing time intervals, redefining the active contact set in both normal and tangential directions. Closed contacts with zero pre-impact velocity are considered inactive, enhancing numerical robustness.The method employs advanced sphere-plane and sphere-sphere contact elements (Cavalieri et al., 2021), and solves the contact problem using an augmented Lagrangian formulation. The equations of motion are integrated with the nonsmooth generalized-α time integration scheme, ensuring stable and accurate results. A billiard break scenario is used as a numerical benchmark to validate the method’s ability to handle simultaneous impacts with and without friction. Two cases are considered: one without rolling resistance and another including a rolling resistance radius of ρ = 0.005 m. Results demonstrate that the proposed method avoids interpenetration, unlike penalty-based formulations, and significantly reduces computational time from 25,000 s to 40 s. This strategy is efficient, fully automatic, and avoids the need for manual sequencing or topological analysis of impact events, making it a promising tool for complex multibody dynamics simulations.
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.
Fil: Cosimo, Alejandro. University of Liège. Department of Aerospace and Mechanical Engineering. Laboratoire de Techniques Aéro Spatiales (LTAS). Multibody and Mechatronic Systems; Bélgica.
Fil: Brüls, Olivier. University of Liège. Department of Aerospace and Mechanical Engineering. Laboratoire de Techniques Aéro Spatiales (LTAS). Multibody and Mechatronic Systems; Bélgica.
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.
description This work introduces a novel methodology for simulating multiple impacts between spherical rigid bodies under frictional contact, within the framework of nonsmooth contact dynamics and the finite element method for large rotations. The approach extends a previously developed frictionless impact algorithm based on Newton’s impact law (Cosimo et al., 2020) to incorporate sliding, rolling, and drilling friction effects. The core contribution lies in the sequential resolution of impact problems over vanishing time intervals, redefining the active contact set in both normal and tangential directions. Closed contacts with zero pre-impact velocity are considered inactive, enhancing numerical robustness.The method employs advanced sphere-plane and sphere-sphere contact elements (Cavalieri et al., 2021), and solves the contact problem using an augmented Lagrangian formulation. The equations of motion are integrated with the nonsmooth generalized-α time integration scheme, ensuring stable and accurate results. A billiard break scenario is used as a numerical benchmark to validate the method’s ability to handle simultaneous impacts with and without friction. Two cases are considered: one without rolling resistance and another including a rolling resistance radius of ρ = 0.005 m. Results demonstrate that the proposed method avoids interpenetration, unlike penalty-based formulations, and significantly reduces computational time from 25,000 s to 40 s. This strategy is efficient, fully automatic, and avoids the need for manual sequencing or topological analysis of impact events, making it a promising tool for complex multibody dynamics simulations.
publishDate 2023
dc.date.none.fl_str_mv 2023-07
2025-05-29T19:57:25Z
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv Sánchez, E.; Cardona, A.; Cosimo, A.; Brüls, O. & Cavalieri, F. (24-28 de julio de 2023). Simulation of spherical rigid bodies subject to friction with multiple impacts. 11º ECCOMAS Thematic Conference on Multibody Dynamics, Lisboa, Portugal.
https://multibody2023.tecnico.ulisboa.pt/prog_MULTIBODY_WEB/MULTBODY2023_ABSTRACTS/ID_64_601_ECCOMAS_2023_abstractCorrected.pdf
https://hdl.handle.net/20.500.12272/13080
identifier_str_mv Sánchez, E.; Cardona, A.; Cosimo, A.; Brüls, O. & Cavalieri, F. (24-28 de julio de 2023). Simulation of spherical rigid bodies subject to friction with multiple impacts. 11º ECCOMAS Thematic Conference on Multibody Dynamics, Lisboa, Portugal.
url https://multibody2023.tecnico.ulisboa.pt/prog_MULTIBODY_WEB/MULTBODY2023_ABSTRACTS/ID_64_601_ECCOMAS_2023_abstractCorrected.pdf
https://hdl.handle.net/20.500.12272/13080
dc.language.none.fl_str_mv spa
language spa
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 11th ECCOMAS
publisher.none.fl_str_mv 11th ECCOMAS
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
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