Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , |
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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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 |
|
_version_ |
1808129536772014080 |