Dynamic properties of a building with viscous dampers in non-proportional arrangement
Any rational approach to define the configuration and size of viscous fluid dampers in a structure should be based on the dynamic properties of the system with the dampers. In this paper we propose an alternative representation of the complex eigenvalues of multi degree of freedom systems with dampe...
- Autores:
-
Luis E., SuáRez
Gaviria Mendoza, Carlos Andres
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/882
- Acceso en línea:
- http://hdl.handle.net/11323/882
https://repositorio.cuc.edu.co/
- Palabra clave:
- Rights
- openAccess
- License
- Atribución – No comercial – Compartir igual
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|
dc.title.eng.fl_str_mv |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
title |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
spellingShingle |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
title_short |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
title_full |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
title_fullStr |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
title_full_unstemmed |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
title_sort |
Dynamic properties of a building with viscous dampers in non-proportional arrangement |
dc.creator.fl_str_mv |
Luis E., SuáRez Gaviria Mendoza, Carlos Andres |
dc.contributor.author.spa.fl_str_mv |
Luis E., SuáRez Gaviria Mendoza, Carlos Andres |
description |
Any rational approach to define the configuration and size of viscous fluid dampers in a structure should be based on the dynamic properties of the system with the dampers. In this paper we propose an alternative representation of the complex eigenvalues of multi degree of freedom systems with dampers to calculate new equivalent natural frequencies. Analytical expressions for the dynamic properties of a two-story building model with a linear viscous damper in the first floor (i.e. with a non-proportional damping matrix) are derived. The formulas permit to obtain the equivalent damping ratios and equivalent natural frequencies for all the modes as a function of the mass, stiffness and damping coefficient for underdamped and overdamped systems. It is shown that the commonly used formula to define the equivalent natural frequency is not applicable for this type of system and for others where the damping matrix is not proportional to the mass matrix, stiffness matrix or both. Moreover, the new expressions for the equivalent natural frequencies expose a novel phenomenon; the use of viscous fluid dampers can modify the vibration frequencies of the structure. The significance of the new equivalent natural frequencies is expounded by means of a simulated free vibration test. The proposed approach may offer a new perspective to study the effect of viscous dampers on the dynamic properties of a structure |
publishDate |
2015 |
dc.date.issued.none.fl_str_mv |
2015-10 |
dc.date.accessioned.none.fl_str_mv |
2018-11-13T15:03:05Z |
dc.date.available.none.fl_str_mv |
2018-11-13T15:03:05Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/acceptedVersion |
format |
http://purl.org/coar/resource_type/c_6501 |
status_str |
acceptedVersion |
dc.identifier.issn.spa.fl_str_mv |
1225-4568 |
dc.identifier.uri.spa.fl_str_mv |
http://hdl.handle.net/11323/882 |
dc.identifier.instname.spa.fl_str_mv |
Corporación Universidad de la Costa |
dc.identifier.reponame.spa.fl_str_mv |
REDICUC - Repositorio CUC |
dc.identifier.repourl.spa.fl_str_mv |
https://repositorio.cuc.edu.co/ |
identifier_str_mv |
1225-4568 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
url |
http://hdl.handle.net/11323/882 https://repositorio.cuc.edu.co/ |
dc.language.iso.none.fl_str_mv |
eng |
language |
eng |
dc.rights.spa.fl_str_mv |
Atribución – No comercial – Compartir igual |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
dc.rights.coar.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
rights_invalid_str_mv |
Atribución – No comercial – Compartir igual http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
dc.publisher.spa.fl_str_mv |
Structural Engineering and Mechanics |
institution |
Corporación Universidad de la Costa |
bitstream.url.fl_str_mv |
https://repositorio.cuc.edu.co/bitstream/11323/882/1/Dynamic%20properties%20of%20a%20building%20with%20viscous%20dampers%20in%20non-proportional%20arrangement.pdf https://repositorio.cuc.edu.co/bitstream/11323/882/2/license.txt https://repositorio.cuc.edu.co/bitstream/11323/882/4/Dynamic%20properties%20of%20a%20building%20with%20viscous%20dampers%20in%20non-proportional%20arrangement.pdf.jpg https://repositorio.cuc.edu.co/bitstream/11323/882/5/Dynamic%20properties%20of%20a%20building%20with%20viscous%20dampers%20in%20non-proportional%20arrangement.pdf.txt |
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Luis E., SuáRez1734ded1b65ae5f60b2004a0ea53a1eeGaviria Mendoza, Carlos Andres2ab0b67a8449fc0397c071bc1f6fdb0b2018-11-13T15:03:05Z2018-11-13T15:03:05Z2015-101225-4568http://hdl.handle.net/11323/882Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Any rational approach to define the configuration and size of viscous fluid dampers in a structure should be based on the dynamic properties of the system with the dampers. In this paper we propose an alternative representation of the complex eigenvalues of multi degree of freedom systems with dampers to calculate new equivalent natural frequencies. Analytical expressions for the dynamic properties of a two-story building model with a linear viscous damper in the first floor (i.e. with a non-proportional damping matrix) are derived. The formulas permit to obtain the equivalent damping ratios and equivalent natural frequencies for all the modes as a function of the mass, stiffness and damping coefficient for underdamped and overdamped systems. It is shown that the commonly used formula to define the equivalent natural frequency is not applicable for this type of system and for others where the damping matrix is not proportional to the mass matrix, stiffness matrix or both. Moreover, the new expressions for the equivalent natural frequencies expose a novel phenomenon; the use of viscous fluid dampers can modify the vibration frequencies of the structure. The significance of the new equivalent natural frequencies is expounded by means of a simulated free vibration test. The proposed approach may offer a new perspective to study the effect of viscous dampers on the dynamic properties of a structureengStructural Engineering and MechanicsAtribución – No comercial – Compartir igualinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Dynamic properties of a building with viscous dampers in non-proportional arrangementArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersionORIGINALDynamic properties of a building with viscous dampers in non-proportional arrangement.pdfDynamic properties of a building with viscous dampers in non-proportional arrangement.pdfapplication/pdf175997https://repositorio.cuc.edu.co/bitstream/11323/882/1/Dynamic%20properties%20of%20a%20building%20with%20viscous%20dampers%20in%20non-proportional%20arrangement.pdf18b5aee574baccb9686fd80668d2ae1aMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstream/11323/882/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52open accessTHUMBNAILDynamic properties of a building with viscous dampers in non-proportional arrangement.pdf.jpgDynamic properties of a building with viscous dampers in non-proportional arrangement.pdf.jpgimage/jpeg42119https://repositorio.cuc.edu.co/bitstream/11323/882/4/Dynamic%20properties%20of%20a%20building%20with%20viscous%20dampers%20in%20non-proportional%20arrangement.pdf.jpg5af0963c88ec906fe0d416b207677758MD54open accessTEXTDynamic properties of a building with viscous dampers in non-proportional arrangement.pdf.txtDynamic properties of a building with viscous dampers in non-proportional arrangement.pdf.txttext/plain1616https://repositorio.cuc.edu.co/bitstream/11323/882/5/Dynamic%20properties%20of%20a%20building%20with%20viscous%20dampers%20in%20non-proportional%20arrangement.pdf.txtc0bc4f322bb0e5e6e0192bfe78fc0ac5MD55open access11323/882oai:repositorio.cuc.edu.co:11323/8822023-12-14 17:44:47.849open accessRepositorio Universidad de La Costabdigital@metabiblioteca.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 |