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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2021
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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) |
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rectangular plate elastic foundation generalized equations of finite difference method discontinuity Mechanics of engineering. Applied mechanics TA349-359 |
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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 |
work_keys_str_mv |
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