Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation

The computation of bent isotropic plates, stretched and/or compressed, is a topic widely explored in the literature from both experimental and numerical point of view. We expose in this work an application of the generalized equations of Finite difference method to that topic. The strength of the pr...

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Autores principales: Youssoufa Seydou, Sali Moussa, Njifenjou Abdou, Joseph Nkongho Anyi, Valery Ngayihi Abbe Claude
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Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/94b02a0247be47fca2027e369b478e72
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spelling oai:doaj.org-article:94b02a0247be47fca2027e369b478e722021-12-05T14:10:44ZApplication of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation2353-739610.1515/cls-2022-0005https://doaj.org/article/94b02a0247be47fca2027e369b478e722021-11-01T00:00:00Zhttps://doi.org/10.1515/cls-2022-0005https://doaj.org/toc/2353-7396The computation of bent isotropic plates, stretched and/or compressed, is a topic widely explored in the literature from both experimental and numerical point of view. We expose in this work an application of the generalized equations of Finite difference method to that topic. The strength of the proposed method is the ability to reconstruct the approximate solution with respect of eventual discontinuities involved in the investigated function as well as its first and second derivatives, including the right-hand side of the equilibrium equation. It is worth mentioning that by opposition to finite element methods our method needs neither fictitious points nor a special condensation of grid. Well-known benchmarks are used in this work to illustrate the efficiency of our numerical and the high accuracy of calculation as well. A comparison of our results with those available in the literature also shows good agreement.Youssoufa SeydouSali MoussaNjifenjou AbdouJoseph Nkongho AnyiValery Ngayihi Abbe ClaudeDe Gruyterarticlerectangular plateelastic foundationgeneralized equations of finite difference methoddiscontinuityMechanics of engineering. Applied mechanicsTA349-359ENCurved and Layered Structures, Vol 9, Iss 1, Pp 54-64 (2021)
institution DOAJ
collection DOAJ
language EN
topic rectangular plate
elastic foundation
generalized equations of finite difference method
discontinuity
Mechanics of engineering. Applied mechanics
TA349-359
spellingShingle rectangular plate
elastic foundation
generalized equations of finite difference method
discontinuity
Mechanics of engineering. Applied mechanics
TA349-359
Youssoufa Seydou
Sali Moussa
Njifenjou Abdou
Joseph Nkongho Anyi
Valery Ngayihi Abbe Claude
Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
description The computation of bent isotropic plates, stretched and/or compressed, is a topic widely explored in the literature from both experimental and numerical point of view. We expose in this work an application of the generalized equations of Finite difference method to that topic. The strength of the proposed method is the ability to reconstruct the approximate solution with respect of eventual discontinuities involved in the investigated function as well as its first and second derivatives, including the right-hand side of the equilibrium equation. It is worth mentioning that by opposition to finite element methods our method needs neither fictitious points nor a special condensation of grid. Well-known benchmarks are used in this work to illustrate the efficiency of our numerical and the high accuracy of calculation as well. A comparison of our results with those available in the literature also shows good agreement.
format article
author Youssoufa Seydou
Sali Moussa
Njifenjou Abdou
Joseph Nkongho Anyi
Valery Ngayihi Abbe Claude
author_facet Youssoufa Seydou
Sali Moussa
Njifenjou Abdou
Joseph Nkongho Anyi
Valery Ngayihi Abbe Claude
author_sort Youssoufa Seydou
title Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
title_short Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
title_full Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
title_fullStr Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
title_full_unstemmed Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
title_sort application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundation
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/94b02a0247be47fca2027e369b478e72
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