Insights on the continuous representations of piecewise-smooth nonlinear systems: limits of applicability and effectiveness

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorNew Mexico State University-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorSandia National Laboratories-
Autor(es): dc.creatorSaunders, B. E.-
Autor(es): dc.creatorVasconcellos, R. [UNESP]-
Autor(es): dc.creatorKuether, R. J.-
Autor(es): dc.creatorAbdelkefi, A.-
Data de aceite: dc.date.accessioned2022-02-22T00:46:41Z-
Data de disponibilização: dc.date.available2022-02-22T00:46:41Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2020-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s11071-021-06436-w-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/206290-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/206290-
Descrição: dc.descriptionDynamical systems subject to intermittent contact are often modeled with piecewise-smooth contact forces. However, the discontinuous nature of the contact can cause inaccuracies in numerical results or failure in numerical solvers. Representing the piecewise contact force with a continuous and smooth function can mitigate these problems, but not all continuous representations may be appropriate for this use. In this work, five representations used by previous researchers (polynomial, rational polynomial, hyperbolic tangent, arctangent, and logarithm-arctangent functions) are studied to determine which ones most accurately capture nonlinear behaviors including super- and subharmonic resonances, multiple solutions, and chaos. The test case is a single-DOF forced Duffing oscillator with freeplay nonlinearity, solved using direct time integration. This work intends to expand on past studies by determining the limits of applicability for each representation and what numerical problems may occur.-
Descrição: dc.descriptionDepartment of Mechanical and Aerospace Engineering New Mexico State University-
Descrição: dc.descriptionSão Paulo State University (UNESP), Campus of São João da Boa Vista-
Descrição: dc.descriptionSandia National Laboratories-
Descrição: dc.descriptionSão Paulo State University (UNESP), Campus of São João da Boa Vista-
Idioma: dc.languageen-
Relação: dc.relationNonlinear Dynamics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectChaotic responses-
Palavras-chave: dc.subjectFreeplay nonlinearity-
Palavras-chave: dc.subjectNonlinear dynamics-
Palavras-chave: dc.subjectPiecewise-smooth representation-
Título: dc.titleInsights on the continuous representations of piecewise-smooth nonlinear systems: limits of applicability and effectiveness-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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