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Modelling multiple-simultaneous impact problems with a nonlinear smooth approach: pool/billiard application

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dc.affiliation.areaUC3M. Área de Ingeniería Mecánicaes
dc.affiliation.dptoUC3M. Departamento de Ingeniería Mecánicaes
dc.affiliation.grupoinvUC3M. Grupo de Investigación: MAQLAB: Laboratorio de Máquinases
dc.contributor.authorGismeros Moreno, Raúl
dc.contributor.authorCorral Abad, Eduardo
dc.contributor.authorMeneses Alonso, Jesus
dc.contributor.authorGómez García, María Jesús
dc.contributor.authorCastejón Sisamón, Cristina
dc.contributor.funderComunidad de Madrides
dc.contributor.funderUniversidad Carlos III de Madrides
dc.date.accessioned2022-02-18T13:01:22Z
dc.date.available2022-02-18T13:01:22Z
dc.date.issued2022-02
dc.description.abstractSmooth approaches are able to model reasonably well contact/impact events between two bodies, showing some peculiarities when dealing with certain geometries and arising certain issues with the detection of the initial instant of contact. The characterization of multiple-simultaneous interaction systems, considering (or not) energy dissipation phenomena (mainly friction), is always an interesting research topic, addressed from different perspectives. In the present work, the process of design, optimization and verification of a multiple-impact, day-to-day multibody novel model is shown. Specifically, we have decided to focus on a pool/billiard game due to its geometry simplicity. The model involves several balls moving freely and rolling, suffering different kinds of contacts/impacts among them and against the cushions and the cloth. In this system, the proper modelling of both contact and friction forces in the multiple, simultaneous contacts and impacts events is critical to obtain consistent results. In addition, these forces are complicated to model because of its nonlinear behaviour. The different existing approaches when dealing with multiple-contact events are briefly described, along with their most distinctive features. Then, the interactions identified on the model are implemented using several nonlinear contact-force models, following a smooth-based approach and considering friction phenomena, aiming at determining the most suitable set of both contact and friction force models for each of these implemented interactions, which take place simultaneously, thus resulting in a complex system with multiple impacts. Subsequently, the solving method that provides the most accurate results at the minimum computational cost is determined by testing a simple shot. Finally, the different interactions on the model are verified using experimental results and previous works. One of the main goals of this work is to show the some of the issues that arise when dealing with multiple-simultaneous impact multibody systems from a smooth-contact approach, and how researchers can deal with them.en
dc.description.sponsorshipThe authors would like to thank the Spanish Government through the MCYT Project "RETOS2015: sistema de monitorización integral de conjuntos mecánicos críticos para la mejora del mantenimiento en el transportemaqstatus". The authors would also like to acknowledge the support received by the Community of Madrid through its multiyear agreement with University Carlos III focused on its policy "Excelencia para el Profesorado Universitario". Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.en
dc.format.extent28es
dc.identifier.bibliographicCitationNonlinear dynamics, 107, Feb. 2022, Pp. 1859-1886en
dc.identifier.doihttps://doi.org/10.1007/s11071-021-07117-4
dc.identifier.issn0924-090X
dc.identifier.publicationfirstpage1859es
dc.identifier.publicationlastpage1886es
dc.identifier.publicationtitleNONLINEAR DYNAMICSen
dc.identifier.publicationvolume107es
dc.identifier.urihttps://hdl.handle.net/10016/34167
dc.identifier.uxxiAR/0000028978
dc.language.isoengen
dc.publisherSpringer Nature Ltd.en
dc.relation.projectIDGobierno de España. DPI2015-69325-C2-1-Res
dc.relation.projectIDAT-2021
dc.rights© 2021, The Author(s)en
dc.rightsThis is an open access article distributed under the terms of the Creative Commons CC BY license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.otherNonlinear smoothen
dc.subject.otherContact dynamicsen
dc.subject.otherMultiple impact collisionsen
dc.subject.otherPool billiarden
dc.subject.otherNonlinear phenomenaen
dc.subject.otherMultibody system dynamics (MSD)en
dc.titleModelling multiple-simultaneous impact problems with a nonlinear smooth approach: pool/billiard applicationen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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