Evaluating route to impact convergence of the harmonic balance method for piecewise-smooth systems

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Autor(es): dc.contributorNew Mexico State University-
Autor(es): dc.contributorSandia National Laboratories-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorSaunders, B. E.-
Autor(es): dc.creatorKuether, R. J.-
Autor(es): dc.creatorVasconcellos, R.-
Autor(es): dc.creatorAbdelkefi, A.-
Data de aceite: dc.date.accessioned2025-08-21T16:14:45Z-
Data de disponibilização: dc.date.available2025-08-21T16:14:45Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-06-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.ijnonlinmec.2023.104398-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/247090-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/247090-
Descrição: dc.descriptionIn this work, we investigate the applicability of the harmonic balance method (HBM) to predict periodic solutions of a single degree-of-freedom forced Duffing oscillator with freeplay nonlinearity. By studying the route to impact, which refers to a parametric study as the contact stiffness increases from soft to hard, the convergence behavior of the HBM can be understood in terms of the strength of the non-smooth forcing term. HBM results are compared to time-integration results to facilitate an evaluation of the accuracy of nonlinear periodic responses. An additional contribution of this study is to perform convergence and stability analysis specifically for isolas generated by the non-smooth nonlinearity. Residual error analysis is used to determine the approximate number of harmonics required to get results accurate to a given error tolerance. Hill's method and Floquet theory are employed to compute the stability of periodic solutions and identify the types of bifurcations in the system.-
Descrição: dc.descriptionLaboratory Directed Research and Development-
Descrição: dc.descriptionSandia National Laboratories-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionDepartment of Mechanical & Aerospace Engineering New Mexico State University-
Descrição: dc.descriptionSandia National Laboratories-
Descrição: dc.descriptionSão Paulo State University (UNESP) Campus of São João da Boa Vista-
Descrição: dc.descriptionSão Paulo State University (UNESP) Campus of São João da Boa Vista-
Descrição: dc.descriptionCAPES: 88881.302889/2018-01-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Non-Linear Mechanics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectConvergence analysis-
Palavras-chave: dc.subjectFloquet stability-
Palavras-chave: dc.subjectHarmonic balance-
Palavras-chave: dc.subjectIsolas-
Palavras-chave: dc.subjectPiecewise-smooth-
Título: dc.titleEvaluating route to impact convergence of the harmonic balance method for piecewise-smooth systems-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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