Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation

This research presents, buckling and free vibration analysis of fiber metal-laminated (FML) plates on a total and partial elastic foundation using the generalized differential quadrature method (GDQM). The partial foundation consists of multi-section Winkler and Pasternak type elastic foundation. Ta...

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Main Authors: Horae Moraveji Tabasi, Jafar Eskandari Jam, Keramat Malekzadeh Fard, Mohsen Heydari Beni
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2020-01-01
Series:Journal of Applied and Computational Mechanics
Subjects:
Online Access:http://jacm.scu.ac.ir/article_14158_de4677dc2780817c82241b6242ca4574.pdf
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spelling doaj-be1bf7b2d96a40e6a0167ea5cc972a9a2020-11-25T02:40:40ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362020-01-0161375110.22055/jacm.2019.28156.148914158Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic FoundationHorae Moraveji Tabasi0Jafar Eskandari Jam1Keramat Malekzadeh Fard2Mohsen Heydari Beni3University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Lavizan, Tehran, IranDepartment of Mechanical Engineering, Malek Ashtar University of Technology, Lavizan, Tehran, IranDepartment of Mechanical Engineering, Malek Ashtar University of Technology, Lavizan, Tehran, IranUniversity Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Lavizan, Tehran, IranThis research presents, buckling and free vibration analysis of fiber metal-laminated (FML) plates on a total and partial elastic foundation using the generalized differential quadrature method (GDQM). The partial foundation consists of multi-section Winkler and Pasternak type elastic foundation. Taking into consideration the first-order shear deformation theory (FSDT), FML plate is modeled and its equations of motion and boundary conditions are derived using Hamilton's principle. The formulations include Heaviside function effects due to the nonhomogeneous foundation. The novelty of this study is considering the effects of partial foundation and in-plane loading, in addition to considering the various boundary conditions of FML plate. A computer program is written using the present formulation for calculating the natural frequencies and buckling loadings of composite plates without contacting with elastic foundation and composite plates resting on partial foundations. The validation is done by comparison of continuous element model with available results in the literature. The results show that the constant of total or partial spring, elastic foundation parameter, thickness ratio, frequency mode number and boundary conditions play an important role on the critical buckling load and natural frequency of the FML plate resting on partial foundation under in-plane force.http://jacm.scu.ac.ir/article_14158_de4677dc2780817c82241b6242ca4574.pdfPartial elastic foundationFML composite plateFree vibrationBucklingGDQ method
collection DOAJ
language English
format Article
sources DOAJ
author Horae Moraveji Tabasi
Jafar Eskandari Jam
Keramat Malekzadeh Fard
Mohsen Heydari Beni
spellingShingle Horae Moraveji Tabasi
Jafar Eskandari Jam
Keramat Malekzadeh Fard
Mohsen Heydari Beni
Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
Journal of Applied and Computational Mechanics
Partial elastic foundation
FML composite plate
Free vibration
Buckling
GDQ method
author_facet Horae Moraveji Tabasi
Jafar Eskandari Jam
Keramat Malekzadeh Fard
Mohsen Heydari Beni
author_sort Horae Moraveji Tabasi
title Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
title_short Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
title_full Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
title_fullStr Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
title_full_unstemmed Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
title_sort buckling and free vibration analysis of fiber metal-laminated plates resting on partial elastic foundation
publisher Shahid Chamran University of Ahvaz
series Journal of Applied and Computational Mechanics
issn 2383-4536
2383-4536
publishDate 2020-01-01
description This research presents, buckling and free vibration analysis of fiber metal-laminated (FML) plates on a total and partial elastic foundation using the generalized differential quadrature method (GDQM). The partial foundation consists of multi-section Winkler and Pasternak type elastic foundation. Taking into consideration the first-order shear deformation theory (FSDT), FML plate is modeled and its equations of motion and boundary conditions are derived using Hamilton's principle. The formulations include Heaviside function effects due to the nonhomogeneous foundation. The novelty of this study is considering the effects of partial foundation and in-plane loading, in addition to considering the various boundary conditions of FML plate. A computer program is written using the present formulation for calculating the natural frequencies and buckling loadings of composite plates without contacting with elastic foundation and composite plates resting on partial foundations. The validation is done by comparison of continuous element model with available results in the literature. The results show that the constant of total or partial spring, elastic foundation parameter, thickness ratio, frequency mode number and boundary conditions play an important role on the critical buckling load and natural frequency of the FML plate resting on partial foundation under in-plane force.
topic Partial elastic foundation
FML composite plate
Free vibration
Buckling
GDQ method
url http://jacm.scu.ac.ir/article_14158_de4677dc2780817c82241b6242ca4574.pdf
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AT mohsenheydaribeni bucklingandfreevibrationanalysisoffibermetallaminatedplatesrestingonpartialelasticfoundation
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