Insights on the Bifurcation Behavior of a Freeplay System with Piecewise and Continuous Representations

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Autor(es): dc.contributorNew Mexico State University-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorSandia National Laboratories-
Autor(es): dc.creatorSaunders, Brian Evan-
Autor(es): dc.creatorVasconcellos, Rui M. G.-
Autor(es): dc.creatorKuether, Robert J.-
Autor(es): dc.creatorAbdelkefi, Abdessattar-
Data de aceite: dc.date.accessioned2025-08-21T23:41:43Z-
Data de disponibilização: dc.date.available2025-08-21T23:41:43Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/978-3-030-77135-5_9-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/222978-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/222978-
Descrição: dc.descriptionDynamical systems containing contact/impact between parts can be modeled as piecewise-smooth reduced-order models. The most common example is freeplay, which can manifest as a loose support, worn hinges, or backlash. Freeplay causes very complex, nonlinear responses in a system that range from isolated resonances to grazing bifurcations to chaos. This can be an issue because classical solution methods, such as direct time integration (e.g., Runge-Kutta) or harmonic balance methods, can fail to accurately detect some of the nonlinear behavior or fail to run altogether. To deal with this limitation, researchers often approximate piecewise freeplay terms in the equations of motion using continuous, fully smooth functions. While this strategy can be convenient, it may not always be appropriate for use. For example, past investigation on freeplay in an aeroelastic control surface showed that, compared to the exact piecewise representation, some approximations are not as effective at capturing freeplay behavior as other ones. Another potential issue is the effectiveness of continuous representations at capturing grazing contacts and grazing-type bifurcations. These can cause the system to transition to high-amplitude responses with frequent contact/impact and be particularly damaging. In this work, a bifurcation study is performed on a model of a forced Duffing oscillator with freeplay nonlinearity. Various representations are used to approximate the freeplay including polynomial, absolute value, and hyperbolic tangent representations. Bifurcation analysis results for each type are compared to results using the exact piecewise-smooth representation computed using MATLAB® Event Location. The effectiveness of each representation is compared and ranked in terms of numerical accuracy, ability to capture multiple response types, ability to predict chaos, and computation time.-
Descrição: dc.descriptionSandia National Laboratories-
Descrição: dc.descriptionMechanical and Aerospace Engineering Department New Mexico State University-
Descrição: dc.descriptionCampus of São João da Boa Vista São Paulo State University-
Descrição: dc.descriptionSandia National Laboratories-
Descrição: dc.descriptionCampus of São João da Boa Vista São Paulo State University-
Formato: dc.format79-81-
Idioma: dc.languageen-
Relação: dc.relationConference Proceedings of the Society for Experimental Mechanics Series-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBifurcation analysis-
Palavras-chave: dc.subjectContinuous representation-
Palavras-chave: dc.subjectFreeplay-
Palavras-chave: dc.subjectNonlinear dynamics-
Palavras-chave: dc.subjectPiecewise-smooth-
Título: dc.titleInsights on the Bifurcation Behavior of a Freeplay System with Piecewise and Continuous Representations-
Tipo de arquivo: dc.typeaula digital-
Aparece nas coleções:Repositório Institucional - Unesp

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