Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems

Detalhes bibliográficos
Autor(a) principal: Saunders, B. E.
Data de Publicação: 2022
Outros Autores: Vasconcellos, R. [UNESP], Kuether, R. J., Abdelkefi, A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.ymssp.2021.108481
http://hdl.handle.net/11449/222709
Resumo: In this work, we study how a contact/impact nonlinearity interacts with a geometric cubic nonlinearity in an oscillator system. Specific focus is shown to the effects on bifurcation behavior and secondary resonances (i.e., super- and sub-harmonic resonances). The effects of the individual nonlinearities are first explored for comparison, and then the influences of the combined nonlinearities, varying one parameter at a time, are analyzed and discussed. Nonlinear characterization is then performed on an arbitrary system configuration to study super- and sub-harmonic resonances and grazing contacts or bifurcations. Both the cubic and contact nonlinearities cause a drop in amplitude and shift up in frequency for the primary resonance, and they activate high-amplitude subharmonic resonance regions. The nonlinearities seem to never destructively interfere. The contact nonlinearity generally affects the system's superharmonic resonance behavior more, particularly with regard to the occurrence of grazing contacts and the activation of many bifurcations in the system's response. The subharmonic resonance behavior is more strongly affected by the cubic nonlinearity and is prone to multistable behavior. Perturbation theory proved useful for determining when the cubic nonlinearity would be dominant compared to the contact nonlinearity. The limiting behaviors of the contact stiffness and freeplay gap size indicate the cubic nonlinearity is dominant overall. It is demonstrated that the presence of contact may result in the activation of several bifurcations. In addition, it is proved that the system's subharmonic resonance region is prone to multistable dynamical responses having distinct magnitudes.
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spelling Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systemsBifurcation analysisContactFreeplayGrazingNonlinear couplingIn this work, we study how a contact/impact nonlinearity interacts with a geometric cubic nonlinearity in an oscillator system. Specific focus is shown to the effects on bifurcation behavior and secondary resonances (i.e., super- and sub-harmonic resonances). The effects of the individual nonlinearities are first explored for comparison, and then the influences of the combined nonlinearities, varying one parameter at a time, are analyzed and discussed. Nonlinear characterization is then performed on an arbitrary system configuration to study super- and sub-harmonic resonances and grazing contacts or bifurcations. Both the cubic and contact nonlinearities cause a drop in amplitude and shift up in frequency for the primary resonance, and they activate high-amplitude subharmonic resonance regions. The nonlinearities seem to never destructively interfere. The contact nonlinearity generally affects the system's superharmonic resonance behavior more, particularly with regard to the occurrence of grazing contacts and the activation of many bifurcations in the system's response. The subharmonic resonance behavior is more strongly affected by the cubic nonlinearity and is prone to multistable behavior. Perturbation theory proved useful for determining when the cubic nonlinearity would be dominant compared to the contact nonlinearity. The limiting behaviors of the contact stiffness and freeplay gap size indicate the cubic nonlinearity is dominant overall. It is demonstrated that the presence of contact may result in the activation of several bifurcations. In addition, it is proved that the system's subharmonic resonance region is prone to multistable dynamical responses having distinct magnitudes.Deptartment of Mechanical & Aerospace Engineering New Mexico State UniversitySão Paulo State University (UNESP), Campus of São João da Boa VistaSandia National LaboratoriesSão Paulo State University (UNESP), Campus of São João da Boa VistaNew Mexico State UniversityUniversidade Estadual Paulista (UNESP)Sandia National LaboratoriesSaunders, B. E.Vasconcellos, R. [UNESP]Kuether, R. J.Abdelkefi, A.2022-04-28T19:46:21Z2022-04-28T19:46:21Z2022-03-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.ymssp.2021.108481Mechanical Systems and Signal Processing, v. 167.1096-12160888-3270http://hdl.handle.net/11449/22270910.1016/j.ymssp.2021.1084812-s2.0-85117715494Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMechanical Systems and Signal Processinginfo:eu-repo/semantics/openAccess2022-04-28T19:46:21Zoai:repositorio.unesp.br:11449/222709Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:36:44.906352Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
title Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
spellingShingle Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
Saunders, B. E.
Bifurcation analysis
Contact
Freeplay
Grazing
Nonlinear coupling
title_short Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
title_full Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
title_fullStr Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
title_full_unstemmed Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
title_sort Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
author Saunders, B. E.
author_facet Saunders, B. E.
Vasconcellos, R. [UNESP]
Kuether, R. J.
Abdelkefi, A.
author_role author
author2 Vasconcellos, R. [UNESP]
Kuether, R. J.
Abdelkefi, A.
author2_role author
author
author
dc.contributor.none.fl_str_mv New Mexico State University
Universidade Estadual Paulista (UNESP)
Sandia National Laboratories
dc.contributor.author.fl_str_mv Saunders, B. E.
Vasconcellos, R. [UNESP]
Kuether, R. J.
Abdelkefi, A.
dc.subject.por.fl_str_mv Bifurcation analysis
Contact
Freeplay
Grazing
Nonlinear coupling
topic Bifurcation analysis
Contact
Freeplay
Grazing
Nonlinear coupling
description In this work, we study how a contact/impact nonlinearity interacts with a geometric cubic nonlinearity in an oscillator system. Specific focus is shown to the effects on bifurcation behavior and secondary resonances (i.e., super- and sub-harmonic resonances). The effects of the individual nonlinearities are first explored for comparison, and then the influences of the combined nonlinearities, varying one parameter at a time, are analyzed and discussed. Nonlinear characterization is then performed on an arbitrary system configuration to study super- and sub-harmonic resonances and grazing contacts or bifurcations. Both the cubic and contact nonlinearities cause a drop in amplitude and shift up in frequency for the primary resonance, and they activate high-amplitude subharmonic resonance regions. The nonlinearities seem to never destructively interfere. The contact nonlinearity generally affects the system's superharmonic resonance behavior more, particularly with regard to the occurrence of grazing contacts and the activation of many bifurcations in the system's response. The subharmonic resonance behavior is more strongly affected by the cubic nonlinearity and is prone to multistable behavior. Perturbation theory proved useful for determining when the cubic nonlinearity would be dominant compared to the contact nonlinearity. The limiting behaviors of the contact stiffness and freeplay gap size indicate the cubic nonlinearity is dominant overall. It is demonstrated that the presence of contact may result in the activation of several bifurcations. In addition, it is proved that the system's subharmonic resonance region is prone to multistable dynamical responses having distinct magnitudes.
publishDate 2022
dc.date.none.fl_str_mv 2022-04-28T19:46:21Z
2022-04-28T19:46:21Z
2022-03-15
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.ymssp.2021.108481
Mechanical Systems and Signal Processing, v. 167.
1096-1216
0888-3270
http://hdl.handle.net/11449/222709
10.1016/j.ymssp.2021.108481
2-s2.0-85117715494
url http://dx.doi.org/10.1016/j.ymssp.2021.108481
http://hdl.handle.net/11449/222709
identifier_str_mv Mechanical Systems and Signal Processing, v. 167.
1096-1216
0888-3270
10.1016/j.ymssp.2021.108481
2-s2.0-85117715494
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mechanical Systems and Signal Processing
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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