An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/978-3-319-19851-4_14 http://hdl.handle.net/11449/158994 |
Resumo: | This chapter describes the dynamic behaviour of a coupled system where a nonlinear oscillator is attached and driven harmonically by an electro-dynamic shaker. The shaker is modelled as a linear single degree-of-freedom oscillator and the nonlinear attachment is modelled as a hardening Duffing oscillator. The attachment consists of four elastic wires, represented as springs, and its nonlinearity is due to the geometric configuration of the springs, which incline as they extend. The mass of the nonlinear system is much less than the moving mass of the shaker so that the nonlinear system has little effect on the shaker dynamics. The objective is to explore the dynamic behaviour of this system under a range of different conditions. Of particular interest is the situation when the linear natural frequency of the nonlinear system is less than the natural frequency of the shaker such that the frequency response curve of the nonlinear system bends to higher frequencies and thus interacts with the resonance frequency of the shaker. It is found that for some values of the system parameters a two-part frequency response curve can occur: a closed detached curve can appear as a part of the overall amplitude-frequency response, and this detached curve can lie outside or inside the main continuous resonance curve. |
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spelling |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic NonlinearityThis chapter describes the dynamic behaviour of a coupled system where a nonlinear oscillator is attached and driven harmonically by an electro-dynamic shaker. The shaker is modelled as a linear single degree-of-freedom oscillator and the nonlinear attachment is modelled as a hardening Duffing oscillator. The attachment consists of four elastic wires, represented as springs, and its nonlinearity is due to the geometric configuration of the springs, which incline as they extend. The mass of the nonlinear system is much less than the moving mass of the shaker so that the nonlinear system has little effect on the shaker dynamics. The objective is to explore the dynamic behaviour of this system under a range of different conditions. Of particular interest is the situation when the linear natural frequency of the nonlinear system is less than the natural frequency of the shaker such that the frequency response curve of the nonlinear system bends to higher frequencies and thus interacts with the resonance frequency of the shaker. It is found that for some values of the system parameters a two-part frequency response curve can occur: a closed detached curve can appear as a part of the overall amplitude-frequency response, and this detached curve can lie outside or inside the main continuous resonance curve.Univ Calabria, I-87036 Arcavacata Di Rende, CS, ItalyUniv Estadual Paulista, BR-15385000 Ilha Solteira, SP, BrazilUniv Novi Sad, Fac Tech Sci, Novi Sad 21125, SerbiaUniv Estadual Paulista, BR-15385000 Ilha Solteira, SP, BrazilSpringerUniv CalabriaUniversidade Estadual Paulista (Unesp)Univ Novi SadGatti, GianlucaBrennan, Michael J. [UNESP]Kovacic, IvanaBelhaq, M.2018-11-26T15:30:40Z2018-11-26T15:30:40Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject283-303http://dx.doi.org/10.1007/978-3-319-19851-4_14Structural Nonlinear Dynamics And Diagnosis. Berlin: Springer-verlag Berlin, v. 168, p. 283-303, 2015.0930-8989http://hdl.handle.net/11449/15899410.1007/978-3-319-19851-4_14WOS:000380565900014Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengStructural Nonlinear Dynamics And Diagnosis0,156info:eu-repo/semantics/openAccess2021-10-23T12:31:42Zoai:repositorio.unesp.br:11449/158994Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:15:20.770798Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
title |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
spellingShingle |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity Gatti, Gianluca |
title_short |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
title_full |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
title_fullStr |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
title_full_unstemmed |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
title_sort |
An Investigation into the Dynamic Interaction Between an Electro-dynamic Shaker and a Test Structure with Cubic Nonlinearity |
author |
Gatti, Gianluca |
author_facet |
Gatti, Gianluca Brennan, Michael J. [UNESP] Kovacic, Ivana Belhaq, M. |
author_role |
author |
author2 |
Brennan, Michael J. [UNESP] Kovacic, Ivana Belhaq, M. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Univ Calabria Universidade Estadual Paulista (Unesp) Univ Novi Sad |
dc.contributor.author.fl_str_mv |
Gatti, Gianluca Brennan, Michael J. [UNESP] Kovacic, Ivana Belhaq, M. |
description |
This chapter describes the dynamic behaviour of a coupled system where a nonlinear oscillator is attached and driven harmonically by an electro-dynamic shaker. The shaker is modelled as a linear single degree-of-freedom oscillator and the nonlinear attachment is modelled as a hardening Duffing oscillator. The attachment consists of four elastic wires, represented as springs, and its nonlinearity is due to the geometric configuration of the springs, which incline as they extend. The mass of the nonlinear system is much less than the moving mass of the shaker so that the nonlinear system has little effect on the shaker dynamics. The objective is to explore the dynamic behaviour of this system under a range of different conditions. Of particular interest is the situation when the linear natural frequency of the nonlinear system is less than the natural frequency of the shaker such that the frequency response curve of the nonlinear system bends to higher frequencies and thus interacts with the resonance frequency of the shaker. It is found that for some values of the system parameters a two-part frequency response curve can occur: a closed detached curve can appear as a part of the overall amplitude-frequency response, and this detached curve can lie outside or inside the main continuous resonance curve. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-01-01 2018-11-26T15:30:40Z 2018-11-26T15:30:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-3-319-19851-4_14 Structural Nonlinear Dynamics And Diagnosis. Berlin: Springer-verlag Berlin, v. 168, p. 283-303, 2015. 0930-8989 http://hdl.handle.net/11449/158994 10.1007/978-3-319-19851-4_14 WOS:000380565900014 |
url |
http://dx.doi.org/10.1007/978-3-319-19851-4_14 http://hdl.handle.net/11449/158994 |
identifier_str_mv |
Structural Nonlinear Dynamics And Diagnosis. Berlin: Springer-verlag Berlin, v. 168, p. 283-303, 2015. 0930-8989 10.1007/978-3-319-19851-4_14 WOS:000380565900014 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Structural Nonlinear Dynamics And Diagnosis 0,156 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
283-303 |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128488602861568 |