Impact of a rigid sphere onto an elastic membrane.

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dc.contributor.authorAgüero, Elvis A.
dc.contributor.authorAlventosa, Luke
dc.contributor.authorHarris, Daniel M.
dc.contributor.authorGaleano-Rios, Carlos A.
dc.date.accessioned2024-03-27T14:05:29Z
dc.date.available2024-03-27T14:05:29Z
dc.date.issued2022
dc.description.abstractWe study the axisymmetric impact of a rigid sphere onto an elastic membrane theoretically and experimentally. We derive governing equations from first principles and impose natural kinematic and geometric constraints for the coupled motion of the sphere and the membrane during contact. The free boundary problem of finding the contact surface, over which forces caused by the collision act, is solved by an iterative method. This results in a model that produces detailed predictions of the trajectory of the sphere, the deflection of the membrane, and the pressure distribution during contact. Our model predictions are validated against our direct experimental measurements. Moreover, we identify new phenomena regarding the behaviour of the coefficient of restitution for low impact velocities, the possibility of multiple contacts during a single rebound, and energy recovery on subsequent bounces. Insight obtained from this model problem in contact mechanics can inform ongoing efforts towards the development of predictive models for contact problems that arise naturally in multiple engineering applications.pt_BR
dc.identifier.citationAgüero Elvis A., Alventosa Luke, Harris Daniel M. and Galeano-Rios Carlos A. Impact of a rigid sphere onto an elastic membrane. Proc. R. Soc. A. 478: 20220340. https://doi.org/10.1098/rspa.2022.0340pt_BR
dc.identifier.issn1471-2946
dc.identifier.urihttps://dspace.unila.edu.br/handle/123456789/7894
dc.language.isoengpt_BR
dc.publisherThe Royal Societypt_BR
dc.rightsopenAccess
dc.subjectimpactspt_BR
dc.subjectwavespt_BR
dc.subjectmembranept_BR
dc.subjectreboundpt_BR
dc.subjectelasticitypt_BR
dc.titleImpact of a rigid sphere onto an elastic membrane.pt_BR
dc.typearticlept_BR

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TCC - Engenharia Física