dc.creator | González-Carbajal, Javier | es |
dc.creator | Domínguez Abascal, Jaime | es |
dc.date.accessioned | 2023-12-15T08:50:42Z | |
dc.date.available | 2023-12-15T08:50:42Z | |
dc.date.issued | 2017-01 | |
dc.identifier.citation | González-Carbajal, J. y Domínguez Abascal, J. (2017). Limit cycles in nonlinear vibrating systems excited by a nonideal energy source with a large slope characteristic. Nonlinear Dynamics, 87 (2), 1377-1391. https://doi.org/https://doi.org/10.1007/s11071-016-3120-7. | |
dc.identifier.issn | 0924-090X | es |
dc.identifier.uri | https://hdl.handle.net/11441/152531 | |
dc.description.abstract | This study is the natural continuation of a
previous paper of the authors González-Carbajal and
Domínguez in J. Sound Vib. (Under revision), where
the possibility of finding Hopf bifurcations in vibrating systems excited by a nonideal power source was
addressed. Herein, some analytical tools are used to
characterize these Hopf bifurcations, deriving a simple rule to classify them as supercritical or subcritical.
Moreover, we find conditions under which the averaged system can be proved to be always attracted by a
limit cycle, irrespective of the initial conditions. These
limit cycle oscillations in the averaged system correspond to quasiperiodic motions of the original system.
To the authors’ knowledge, limit cycle oscillations have
not been addressed before in the literature about nonideal excitations. Through supporting numerical simulations, we also investigate the global bifurcations
destroying the limit cycles. The analytical results are
verified numerically. | es |
dc.description.sponsorship | Ministerio de Educación, Cultura y Deporte FPU12/00537 | es |
dc.format | application/pdf | es |
dc.format.extent | 15 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer Netherlands | es |
dc.relation.ispartof | Nonlinear Dynamics, 87 (2), 1377-1391. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonideal excitation | es |
dc.subject | Unbalanced motor | es |
dc.subject | Hopf bifurcation | es |
dc.subject | Limit cycle | es |
dc.title | Limit cycles in nonlinear vibrating systems excited by a nonideal energy source with a large slope characteristic | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería Mecánica y de Fabricación | es |
dc.relation.projectID | FPU12/00537 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s11071-016-3120-7 | es |
dc.identifier.doi | https://doi.org/10.1007/s11071-016-3120-7 | es |
dc.contributor.group | Universidad de Sevilla. TEP111: Ingeniería Mecánica | es |
dc.journaltitle | Nonlinear Dynamics | es |
dc.publication.volumen | 87 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 1377 | es |
dc.publication.endPage | 1391 | es |
dc.contributor.funder | Ministerio de Educación, Cultura y Deporte (MECD). España | es |