dc.contributorNew Mexico State University
dc.contributorUniversidade Estadual Paulista (UNESP)
dc.contributorSandia National Laboratories
dc.date.accessioned2022-04-28T19:46:21Z
dc.date.accessioned2022-12-20T01:27:57Z
dc.date.available2022-04-28T19:46:21Z
dc.date.available2022-12-20T01:27:57Z
dc.date.created2022-04-28T19:46:21Z
dc.date.issued2022-03-15
dc.identifierMechanical Systems and Signal Processing, v. 167.
dc.identifier1096-1216
dc.identifier0888-3270
dc.identifierhttp://hdl.handle.net/11449/222709
dc.identifier10.1016/j.ymssp.2021.108481
dc.identifier2-s2.0-85117715494
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5402839
dc.description.abstractIn 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.
dc.languageeng
dc.relationMechanical Systems and Signal Processing
dc.sourceScopus
dc.subjectBifurcation analysis
dc.subjectContact
dc.subjectFreeplay
dc.subjectGrazing
dc.subjectNonlinear coupling
dc.titleCharacterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
dc.typeArtículos de revistas


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