Stability and Convergence Analysis of the Harmonic Balance Method for a Duffing Oscillator with Free Play Nonlinearity

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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.accessioned2025-08-21T17:01:43Z-
Data de disponibilização: dc.date.available2025-08-21T17:01:43Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2022-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/978-3-031-04086-3_36-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/245888-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/245888-
Descrição: dc.descriptionIn this work, we determine the quality of the harmonic balance method (HBM) using a single degree-of-freedom forced Duffing oscillator with free play. HBM results are compared to results obtained using direct time integration with an event location procedure to properly capture contact behavior and identify nonperiodic motions. The comparison facilitates an evaluation of the accuracy of nonlinear, periodic responses computed with HBM, specifically by comparing super- and subharmonic resonances, regions of periodic and nonperiodic (i.e., quasiperiodic or chaotic) responses, and discontinuity-induced bifurcations, such as grazing bifurcations. Convergence analysis of HBM determines the appropriate number of harmonics required to capture nonlinear contact behavior, while satisfying the governing equations. Hill’s method and Floquet theory are used to compute the stability of periodic solutions and identify the types of bifurcations in the system. Extensions to multi- degree-of-freedom oscillators will be discussed as well.-
Descrição: dc.descriptionSandia National Laboratories-
Descrição: dc.descriptionMechanical & 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.format249-251-
Idioma: dc.languageen-
Relação: dc.relationConference Proceedings of the Society for Experimental Mechanics Series-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBifurcations-
Palavras-chave: dc.subjectConvergence analysis-
Palavras-chave: dc.subjectFloquet stability-
Palavras-chave: dc.subjectHarmonic balance-
Palavras-chave: dc.subjectPiecewise-smooth-
Título: dc.titleStability and Convergence Analysis of the Harmonic Balance Method for a Duffing Oscillator with Free Play Nonlinearity-
Tipo de arquivo: dc.typeaula digital-
Aparece nas coleções:Repositório Institucional - Unesp

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