Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200008 |
Resumo: | This paper presents analytical and mathematical modeling and optimization of the dynamic behavior of the fiber metal laminates (FMLs) subjected to low-velocity impact. The deflection to thickness (w/h) ratio has been identified through the governing equations of the plate that are solved using the first-order shear deformation theory as well as the Fourier series method. With the help of a two degrees-of-freedom system, consisting of springs-masses, and the Choi's linearized Hertzian contact model the interaction between the impactor and the plate is modeled. Thirty-one experiments are conducted on samples of different layer sequences and volume fractions of Al plies in the composite Structures. A reliable fitness function in the form of a strict linear mathematical function constructed. Using an ordinary least square method, response regression coefficients estimated and a zero-one programming technique proposed to optimize the FML plate behavior subjected to any technological or cost restrictions. The results indicated that FML plate behavior is highly affected by layer sequences and volume fractions of Al plies. The results also showed that, embedding Al plies at outer layers of the structure significantly results in a better response of the structure under low-velocity impact, instead of embedding them in the middle or middle and outer layers of the structure. |
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Latin American journal of solids and structures (Online) |
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Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programmingFiber metal laminate (FML)Low-velocity impactOptimizationDesign of experimentsResponse surface regressionZero-one programmingThis paper presents analytical and mathematical modeling and optimization of the dynamic behavior of the fiber metal laminates (FMLs) subjected to low-velocity impact. The deflection to thickness (w/h) ratio has been identified through the governing equations of the plate that are solved using the first-order shear deformation theory as well as the Fourier series method. With the help of a two degrees-of-freedom system, consisting of springs-masses, and the Choi's linearized Hertzian contact model the interaction between the impactor and the plate is modeled. Thirty-one experiments are conducted on samples of different layer sequences and volume fractions of Al plies in the composite Structures. A reliable fitness function in the form of a strict linear mathematical function constructed. Using an ordinary least square method, response regression coefficients estimated and a zero-one programming technique proposed to optimize the FML plate behavior subjected to any technological or cost restrictions. The results indicated that FML plate behavior is highly affected by layer sequences and volume fractions of Al plies. The results also showed that, embedding Al plies at outer layers of the structure significantly results in a better response of the structure under low-velocity impact, instead of embedding them in the middle or middle and outer layers of the structure.Associação Brasileira de Ciências Mecânicas2013-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200008Latin American Journal of Solids and Structures v.10 n.2 2013reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252013000200008info:eu-repo/semantics/openAccessGhasemi,Faramarz AshenaiRaissi,SedighMalekzadehfard,Keramateng2013-02-25T00:00:00Zoai:scielo:S1679-78252013000200008Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2013-02-25T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
title |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
spellingShingle |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming Ghasemi,Faramarz Ashenai Fiber metal laminate (FML) Low-velocity impact Optimization Design of experiments Response surface regression Zero-one programming |
title_short |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
title_full |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
title_fullStr |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
title_full_unstemmed |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
title_sort |
Analytical and Mathematical Modeling and Optimization of Fiber Metal Laminates (FMLs) subjected to low-velocity impact via combined response surface regression and zero-One programming |
author |
Ghasemi,Faramarz Ashenai |
author_facet |
Ghasemi,Faramarz Ashenai Raissi,Sedigh Malekzadehfard,Keramat |
author_role |
author |
author2 |
Raissi,Sedigh Malekzadehfard,Keramat |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Ghasemi,Faramarz Ashenai Raissi,Sedigh Malekzadehfard,Keramat |
dc.subject.por.fl_str_mv |
Fiber metal laminate (FML) Low-velocity impact Optimization Design of experiments Response surface regression Zero-one programming |
topic |
Fiber metal laminate (FML) Low-velocity impact Optimization Design of experiments Response surface regression Zero-one programming |
description |
This paper presents analytical and mathematical modeling and optimization of the dynamic behavior of the fiber metal laminates (FMLs) subjected to low-velocity impact. The deflection to thickness (w/h) ratio has been identified through the governing equations of the plate that are solved using the first-order shear deformation theory as well as the Fourier series method. With the help of a two degrees-of-freedom system, consisting of springs-masses, and the Choi's linearized Hertzian contact model the interaction between the impactor and the plate is modeled. Thirty-one experiments are conducted on samples of different layer sequences and volume fractions of Al plies in the composite Structures. A reliable fitness function in the form of a strict linear mathematical function constructed. Using an ordinary least square method, response regression coefficients estimated and a zero-one programming technique proposed to optimize the FML plate behavior subjected to any technological or cost restrictions. The results indicated that FML plate behavior is highly affected by layer sequences and volume fractions of Al plies. The results also showed that, embedding Al plies at outer layers of the structure significantly results in a better response of the structure under low-velocity impact, instead of embedding them in the middle or middle and outer layers of the structure. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-03-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200008 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252013000200008 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.10 n.2 2013 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302887202127872 |