Classical and optimal active vibration control of smart piezoelectric beams
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | |
Tipo de documento: | Livro |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/10216/69861 |
Resumo: | In this paper a numerical study concerning the active vibration control of smart piezoelectric beams is presented. A comparison between the classical control strategies, constant gain and amplitude velocity feedback, and optimal control strategies, linear quadratic regulator (LQR) and linear quadratic Gaussian (LQG) controller, is performed in order to investigate their effectiveness to suppress vibrations in beams with piezoelectric patches with sensing and actuating capabilities. As a mathematical model, a one-dimensional finite element of a three-layered smart beam with two piezoelectric surface layers and metallic core is utilized and briefly presented. The mathematical model considers a partial layerwise theory, with three discrete-layers, and a fully coupled electro-mechanical theory. The finite element model equations of motion and electric charge equilibrium are presented and recast into a state variable representation in terms of the physical modes of the beam. The analyzed case studies concern the vibration reduction of a cantilever aluminum beam with a pair of collocated piezoelectric patches mounted on the surface. The displacement time history, for an initial displacement field and white noise force disturbance, and point receptance at the free end are evaluated with the open- and closedloop classical and optimal control systems. The case studies allow to compare their performances and demonstrate their advantages and disadvantages. |
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Classical and optimal active vibration control of smart piezoelectric beamsEngenharia mecânica, Engenharia mecânicaMechanical engineering, Mechanical engineeringIn this paper a numerical study concerning the active vibration control of smart piezoelectric beams is presented. A comparison between the classical control strategies, constant gain and amplitude velocity feedback, and optimal control strategies, linear quadratic regulator (LQR) and linear quadratic Gaussian (LQG) controller, is performed in order to investigate their effectiveness to suppress vibrations in beams with piezoelectric patches with sensing and actuating capabilities. As a mathematical model, a one-dimensional finite element of a three-layered smart beam with two piezoelectric surface layers and metallic core is utilized and briefly presented. The mathematical model considers a partial layerwise theory, with three discrete-layers, and a fully coupled electro-mechanical theory. The finite element model equations of motion and electric charge equilibrium are presented and recast into a state variable representation in terms of the physical modes of the beam. The analyzed case studies concern the vibration reduction of a cantilever aluminum beam with a pair of collocated piezoelectric patches mounted on the surface. The displacement time history, for an initial displacement field and white noise force disturbance, and point receptance at the free end are evaluated with the open- and closedloop classical and optimal control systems. The case studies allow to compare their performances and demonstrate their advantages and disadvantages.20042004-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/69861engC. M. A. VasquesJ. D. Rodriguesinfo: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:RCAAP2023-11-29T13:40:53Zoai:repositorio-aberto.up.pt:10216/69861Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:45:33.119790Repositório 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 |
Classical and optimal active vibration control of smart piezoelectric beams |
title |
Classical and optimal active vibration control of smart piezoelectric beams |
spellingShingle |
Classical and optimal active vibration control of smart piezoelectric beams C. M. A. Vasques Engenharia mecânica, Engenharia mecânica Mechanical engineering, Mechanical engineering |
title_short |
Classical and optimal active vibration control of smart piezoelectric beams |
title_full |
Classical and optimal active vibration control of smart piezoelectric beams |
title_fullStr |
Classical and optimal active vibration control of smart piezoelectric beams |
title_full_unstemmed |
Classical and optimal active vibration control of smart piezoelectric beams |
title_sort |
Classical and optimal active vibration control of smart piezoelectric beams |
author |
C. M. A. Vasques |
author_facet |
C. M. A. Vasques J. D. Rodrigues |
author_role |
author |
author2 |
J. D. Rodrigues |
author2_role |
author |
dc.contributor.author.fl_str_mv |
C. M. A. Vasques J. D. Rodrigues |
dc.subject.por.fl_str_mv |
Engenharia mecânica, Engenharia mecânica Mechanical engineering, Mechanical engineering |
topic |
Engenharia mecânica, Engenharia mecânica Mechanical engineering, Mechanical engineering |
description |
In this paper a numerical study concerning the active vibration control of smart piezoelectric beams is presented. A comparison between the classical control strategies, constant gain and amplitude velocity feedback, and optimal control strategies, linear quadratic regulator (LQR) and linear quadratic Gaussian (LQG) controller, is performed in order to investigate their effectiveness to suppress vibrations in beams with piezoelectric patches with sensing and actuating capabilities. As a mathematical model, a one-dimensional finite element of a three-layered smart beam with two piezoelectric surface layers and metallic core is utilized and briefly presented. The mathematical model considers a partial layerwise theory, with three discrete-layers, and a fully coupled electro-mechanical theory. The finite element model equations of motion and electric charge equilibrium are presented and recast into a state variable representation in terms of the physical modes of the beam. The analyzed case studies concern the vibration reduction of a cantilever aluminum beam with a pair of collocated piezoelectric patches mounted on the surface. The displacement time history, for an initial displacement field and white noise force disturbance, and point receptance at the free end are evaluated with the open- and closedloop classical and optimal control systems. The case studies allow to compare their performances and demonstrate their advantages and disadvantages. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004 2004-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/book |
format |
book |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/10216/69861 |
url |
https://hdl.handle.net/10216/69861 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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.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 |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799135772134080512 |