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

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Show simple item record Gismeros Moreno, Raúl Corral Abad, Eduardo Meneses Alonso, Jesus Gómez García, María Jesús Castejón Sisamón, Cristina 2022-02-18T13:01:22Z 2022-02-18T13:01:22Z 2022-02
dc.identifier.bibliographicCitation Nonlinear dynamics, 107, Feb. 2022, Pp. 1859-1886
dc.identifier.issn 0924-090X
dc.description.abstract Smooth 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.
dc.description.sponsorship The 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.
dc.format.extent 28
dc.language.iso eng
dc.publisher Springer Nature Ltd.
dc.rights © 2021, The Author(s)
dc.rights This 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.
dc.rights Atribución 3.0 España
dc.subject.other Nonlinear smooth
dc.subject.other Contact dynamics
dc.subject.other Multiple impact collisions
dc.subject.other Pool billiard
dc.subject.other Nonlinear phenomena
dc.subject.other Multibody system dynamics (MSD)
dc.title Modelling multiple-simultaneous impact problems with a nonlinear smooth approach: pool/billiard application
dc.type article
dc.subject.eciencia Ingeniería Mecánica
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. DPI2015-69325-C2-1-R
dc.relation.projectID AT-2021
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1859
dc.identifier.publicationlastpage 1886
dc.identifier.publicationtitle NONLINEAR DYNAMICS
dc.identifier.publicationvolume 107
dc.identifier.uxxi AR/0000028978
dc.contributor.funder Comunidad de Madrid
dc.contributor.funder Universidad Carlos III de Madrid
dc.affiliation.dpto UC3M. Departamento de Ingeniería Mecánica
dc.affiliation.grupoinv UC3M. Grupo de Investigación: MAQLAB: Laboratorio de Máquinas
dc.affiliation.area UC3M. Área de Ingeniería Mecánica
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