Chattering: an overlooked peculiarity of rocking motion
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/1822/79719 |
Resumo: | Complete chattering occurs when a structure undergoes a theoretically infinite sequence of impacts in finite time, that eventually bring the structure to the state of persistent (continuous) contact. This study investigates the conditions under which a rigid rocking block undergoes complete chattering when subjected to sinusoidal ground excitation. The analysis explains how the acceleration amplitude of the ground excitation affects the chattering time. It also proves that there exists a (sinusoidal) ground acceleration amplitude, below which rocking motion terminates even under a nonzero ground excitation, almost independently of the frequency of the ground excitation. Furthermore, the study adopts perturbation theory and proposes an asymptotic approximation of the time needed for chattering to be completed, i.e. chattering time. It then verifies the asymptotic approximation using an independent semi-analytical approach. Overall, the results highlight the importance of complete chattering on the dynamic rocking response; a feature of nonlinear dynamics which is often overlooked in earthquake engineering. |
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Chattering: an overlooked peculiarity of rocking motionrockingchatteringperturbation theoryasymptotic analysisimpactEngenharia e Tecnologia::Engenharia CivilScience & TechnologyCidades e comunidades sustentáveisComplete chattering occurs when a structure undergoes a theoretically infinite sequence of impacts in finite time, that eventually bring the structure to the state of persistent (continuous) contact. This study investigates the conditions under which a rigid rocking block undergoes complete chattering when subjected to sinusoidal ground excitation. The analysis explains how the acceleration amplitude of the ground excitation affects the chattering time. It also proves that there exists a (sinusoidal) ground acceleration amplitude, below which rocking motion terminates even under a nonzero ground excitation, almost independently of the frequency of the ground excitation. Furthermore, the study adopts perturbation theory and proposes an asymptotic approximation of the time needed for chattering to be completed, i.e. chattering time. It then verifies the asymptotic approximation using an independent semi-analytical approach. Overall, the results highlight the importance of complete chattering on the dynamic rocking response; a feature of nonlinear dynamics which is often overlooked in earthquake engineering.This study has been funded by the STAND4-HERITAGE project (new STANDards FOR seismic assessment of built cultural HERITAGE) that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant No. 833123) as an Advanced Grant. Its support is gratefully acknowledged. The opinions and conclusions presented in this paper are those of the authors and do not necessarily reflect the views of the sponsoring organization.SpringerUniversidade do MinhoGiouvanidis, AnastasiosDimitrakopoulos, Elias G.Lourenço, Paulo B.2022-06-132022-06-13T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/79719eng0924-090X1573-269X10.1007/s11071-022-07578-1https://link.springer.com/article/10.1007/s11071-022-07578-1info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:44:20Zoai:repositorium.sdum.uminho.pt:1822/79719Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:42:00.364745Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Chattering: an overlooked peculiarity of rocking motion |
title |
Chattering: an overlooked peculiarity of rocking motion |
spellingShingle |
Chattering: an overlooked peculiarity of rocking motion Giouvanidis, Anastasios rocking chattering perturbation theory asymptotic analysis impact Engenharia e Tecnologia::Engenharia Civil Science & Technology Cidades e comunidades sustentáveis |
title_short |
Chattering: an overlooked peculiarity of rocking motion |
title_full |
Chattering: an overlooked peculiarity of rocking motion |
title_fullStr |
Chattering: an overlooked peculiarity of rocking motion |
title_full_unstemmed |
Chattering: an overlooked peculiarity of rocking motion |
title_sort |
Chattering: an overlooked peculiarity of rocking motion |
author |
Giouvanidis, Anastasios |
author_facet |
Giouvanidis, Anastasios Dimitrakopoulos, Elias G. Lourenço, Paulo B. |
author_role |
author |
author2 |
Dimitrakopoulos, Elias G. Lourenço, Paulo B. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Giouvanidis, Anastasios Dimitrakopoulos, Elias G. Lourenço, Paulo B. |
dc.subject.por.fl_str_mv |
rocking chattering perturbation theory asymptotic analysis impact Engenharia e Tecnologia::Engenharia Civil Science & Technology Cidades e comunidades sustentáveis |
topic |
rocking chattering perturbation theory asymptotic analysis impact Engenharia e Tecnologia::Engenharia Civil Science & Technology Cidades e comunidades sustentáveis |
description |
Complete chattering occurs when a structure undergoes a theoretically infinite sequence of impacts in finite time, that eventually bring the structure to the state of persistent (continuous) contact. This study investigates the conditions under which a rigid rocking block undergoes complete chattering when subjected to sinusoidal ground excitation. The analysis explains how the acceleration amplitude of the ground excitation affects the chattering time. It also proves that there exists a (sinusoidal) ground acceleration amplitude, below which rocking motion terminates even under a nonzero ground excitation, almost independently of the frequency of the ground excitation. Furthermore, the study adopts perturbation theory and proposes an asymptotic approximation of the time needed for chattering to be completed, i.e. chattering time. It then verifies the asymptotic approximation using an independent semi-analytical approach. Overall, the results highlight the importance of complete chattering on the dynamic rocking response; a feature of nonlinear dynamics which is often overlooked in earthquake engineering. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-06-13 2022-06-13T00:00:00Z |
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 |
https://hdl.handle.net/1822/79719 |
url |
https://hdl.handle.net/1822/79719 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0924-090X 1573-269X 10.1007/s11071-022-07578-1 https://link.springer.com/article/10.1007/s11071-022-07578-1 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799132971546968064 |