Nonlinear resonance analysis of slender portal frames under base excitation.
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFOP |
Texto Completo: | http://www.repositorio.ufop.br/handle/123456789/9096 https://doi.org/10.1155/2017/5281237 |
Resumo: | The dynamic nonlinear response and stability of slender structures in the main resonance regions are a topic of importance in structural analysis. In complex problems, the determination of the response in the frequency domain indirectly obtained through analyses in time domain can lead to huge computational effort in large systems. In nonlinear cases, the response in the frequency domain becomes even more cumbersome because of the possibility of multiple solutions for certain forcing frequencies. Those solutions can be stable and unstable, in particular saddle-node bifurcation at the turning points along the resonance curves. In this work, an incremental technique for direct calculation of the nonlinear response in frequency domain of plane frames subjected to base excitation is proposed. The transformation of equations of motion to the frequency domain is made through the harmonic balance method in conjunction with the Galerkin method. The resulting system of nonlinear equations in terms of the modal amplitudes and forcing frequency is solved by the Newton-Raphson method together with an arc-length procedure to obtain the nonlinear resonance curves. Suitable examples are presented, and the influence of the frame geometric parameters and basemotion on the nonlinear resonance curves is investigated. |
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Muñoz, Luis Fernando PaulloGonçalves, Paulo BatistaSilveira, Ricardo Azoubel da MotaSilva, Andréa Regina Dias da2017-11-07T13:36:58Z2017-11-07T13:36:58Z2017MUÑOZ, L. F. P. et al. Nonlinear resonance analysis of slender portal frames under base excitation. Shock and Vibration, v. 2017, p. 1-21, 2017. Disponível em: <https://www.hindawi.com/journals/sv/2017/5281237/>. Acesso em: 29 set. 2017.1070-9622http://www.repositorio.ufop.br/handle/123456789/9096https://doi.org/10.1155/2017/5281237The dynamic nonlinear response and stability of slender structures in the main resonance regions are a topic of importance in structural analysis. In complex problems, the determination of the response in the frequency domain indirectly obtained through analyses in time domain can lead to huge computational effort in large systems. In nonlinear cases, the response in the frequency domain becomes even more cumbersome because of the possibility of multiple solutions for certain forcing frequencies. Those solutions can be stable and unstable, in particular saddle-node bifurcation at the turning points along the resonance curves. In this work, an incremental technique for direct calculation of the nonlinear response in frequency domain of plane frames subjected to base excitation is proposed. The transformation of equations of motion to the frequency domain is made through the harmonic balance method in conjunction with the Galerkin method. The resulting system of nonlinear equations in terms of the modal amplitudes and forcing frequency is solved by the Newton-Raphson method together with an arc-length procedure to obtain the nonlinear resonance curves. Suitable examples are presented, and the influence of the frame geometric parameters and basemotion on the nonlinear resonance curves is investigated.This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Fonte: o próprio artigo.info:eu-repo/semantics/openAccessNonlinear resonance analysis of slender portal frames under base excitation.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-8924http://www.repositorio.ufop.br/bitstream/123456789/9096/2/license.txt62604f8d955274beb56c80ce1ee5dcaeMD52ORIGINALARTIGO_NonlinearResonanceAnalysis.pdfARTIGO_NonlinearResonanceAnalysis.pdfapplication/pdf3362434http://www.repositorio.ufop.br/bitstream/123456789/9096/1/ARTIGO_NonlinearResonanceAnalysis.pdf43fc8185f27f1cc7623f4c0a1b2ade6eMD51123456789/90962020-02-18 08:05:40.881oai:localhost:123456789/9096RGVjbGFyYcOnw6NvIGRlIGRpc3RyaWJ1acOnw6NvIG7Do28tZXhjbHVzaXZhCgpPIHJlZmVyaWRvIGF1dG9yOgoKYSlEZWNsYXJhIHF1ZSBvIGRvY3VtZW50byBlbnRyZWd1ZSDDqSBzZXUgdHJhYmFsaG8gb3JpZ2luYWwgZSBxdWUgZGV0w6ltIG8gZGlyZWl0byBkZSBjb25jZWRlciBvcyBkaXJlaXRvcyBjb250aWRvcyBuZXN0YSBsaWNlbsOnYS4gRGVjbGFyYSB0YW1iw6ltIHF1ZSBhIGVudHJlZ2EgZG8gZG9jdW1lbnRvIG7Do28gaW5mcmluZ2UsIHRhbnRvIHF1YW50byBsaGUgw6kgcG9zc8OtdmVsIHNhYmVyLCBvcyBkaXJlaXRvcyBkZSBxdWFscXVlciBwZXNzb2Egb3UgZW50aWRhZGUuCgpiKVNlIG8gZG9jdW1lbnRvIGVudHJlZ3VlIGNvbnTDqW0gbWF0ZXJpYWwgZG8gcXVhbCBuw6NvIGRldMOpbSBvcyBkaXJlaXRvcyBkZSBhdXRvciwgZGVjbGFyYSBxdWUgb2J0ZXZlIGF1dG9yaXphw6fDo28gZG8gZGV0ZW50b3IgZG9zIGRpcmVpdG9zIGRlIGF1dG9yIHBhcmEgY29uY2VkZXIgw6AgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZGUgT3VybyBQcmV0by9VRk9QIG9zIGRpcmVpdG9zIHJlcXVlcmlkb3MgcG9yIGVzdGEgbGljZW7Dp2EgZSBxdWUgZXNzZSBtYXRlcmlhbCwgY3Vqb3MgZGlyZWl0b3Mgc8OjbyBkZSB0ZXJjZWlyb3MsIGVzdMOhIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvIGUgcmVjb25oZWNpZG8gbm8gdGV4dG8gb3UgY29udGXDumRvcyBkbyBkb2N1bWVudG8gZW50cmVndWUuCgpjKVNlIG8gZG9jdW1lbnRvIGVudHJlZ3VlIMOpIGJhc2VhZG8gZW0gdHJhYmFsaG8gZmluYW5jaWFkbyBvdSBhcG9pYWRvIHBvciBvdXRyYSBpbnN0aXR1acOnw6NvIHF1ZSBuw6NvIGEgVUZPUCwgZGVjbGFyYSBxdWUgY3VtcHJpdSBxdWFpc3F1ZXIgb2JyaWdhw6fDtWVzIGV4aWdpZGFzIHBlbG8gY29udHJhdG8gb3UgYWNvcmRvLgoKRepositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332020-02-18T13:05:40Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false |
dc.title.pt_BR.fl_str_mv |
Nonlinear resonance analysis of slender portal frames under base excitation. |
title |
Nonlinear resonance analysis of slender portal frames under base excitation. |
spellingShingle |
Nonlinear resonance analysis of slender portal frames under base excitation. Muñoz, Luis Fernando Paullo |
title_short |
Nonlinear resonance analysis of slender portal frames under base excitation. |
title_full |
Nonlinear resonance analysis of slender portal frames under base excitation. |
title_fullStr |
Nonlinear resonance analysis of slender portal frames under base excitation. |
title_full_unstemmed |
Nonlinear resonance analysis of slender portal frames under base excitation. |
title_sort |
Nonlinear resonance analysis of slender portal frames under base excitation. |
author |
Muñoz, Luis Fernando Paullo |
author_facet |
Muñoz, Luis Fernando Paullo Gonçalves, Paulo Batista Silveira, Ricardo Azoubel da Mota Silva, Andréa Regina Dias da |
author_role |
author |
author2 |
Gonçalves, Paulo Batista Silveira, Ricardo Azoubel da Mota Silva, Andréa Regina Dias da |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Muñoz, Luis Fernando Paullo Gonçalves, Paulo Batista Silveira, Ricardo Azoubel da Mota Silva, Andréa Regina Dias da |
description |
The dynamic nonlinear response and stability of slender structures in the main resonance regions are a topic of importance in structural analysis. In complex problems, the determination of the response in the frequency domain indirectly obtained through analyses in time domain can lead to huge computational effort in large systems. In nonlinear cases, the response in the frequency domain becomes even more cumbersome because of the possibility of multiple solutions for certain forcing frequencies. Those solutions can be stable and unstable, in particular saddle-node bifurcation at the turning points along the resonance curves. In this work, an incremental technique for direct calculation of the nonlinear response in frequency domain of plane frames subjected to base excitation is proposed. The transformation of equations of motion to the frequency domain is made through the harmonic balance method in conjunction with the Galerkin method. The resulting system of nonlinear equations in terms of the modal amplitudes and forcing frequency is solved by the Newton-Raphson method together with an arc-length procedure to obtain the nonlinear resonance curves. Suitable examples are presented, and the influence of the frame geometric parameters and basemotion on the nonlinear resonance curves is investigated. |
publishDate |
2017 |
dc.date.accessioned.fl_str_mv |
2017-11-07T13:36:58Z |
dc.date.available.fl_str_mv |
2017-11-07T13:36:58Z |
dc.date.issued.fl_str_mv |
2017 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
format |
article |
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publishedVersion |
dc.identifier.citation.fl_str_mv |
MUÑOZ, L. F. P. et al. Nonlinear resonance analysis of slender portal frames under base excitation. Shock and Vibration, v. 2017, p. 1-21, 2017. Disponível em: <https://www.hindawi.com/journals/sv/2017/5281237/>. Acesso em: 29 set. 2017. |
dc.identifier.uri.fl_str_mv |
http://www.repositorio.ufop.br/handle/123456789/9096 |
dc.identifier.issn.none.fl_str_mv |
1070-9622 |
dc.identifier.doi.none.fl_str_mv |
https://doi.org/10.1155/2017/5281237 |
identifier_str_mv |
MUÑOZ, L. F. P. et al. Nonlinear resonance analysis of slender portal frames under base excitation. Shock and Vibration, v. 2017, p. 1-21, 2017. Disponível em: <https://www.hindawi.com/journals/sv/2017/5281237/>. Acesso em: 29 set. 2017. 1070-9622 |
url |
http://www.repositorio.ufop.br/handle/123456789/9096 https://doi.org/10.1155/2017/5281237 |
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eng |
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eng |
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