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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2021-11-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cls-2022-0005 |
| _version_ | 1798014022286573568 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T15:11:55Z |
| format | Article |
| id | doaj.art-94b02a0247be47fca2027e369b478e72 |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-04-11T15:11:55Z |
| publishDate | 2021-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-94b02a0247be47fca2027e369b478e722022-12-22T04:16:38ZengDe GruyterCurved and Layered Structures2353-73962021-11-0191546410.1515/cls-2022-0005Application of generalized equations of finite difference method to computation of bent isotropic stretched and/or compressed plates of variable stiffness under elastic foundationYoussoufa Seydou0Sali Moussa1Njifenjou Abdou2Joseph Nkongho Anyi3Valery Ngayihi Abbe Claude4University of Douala, Laboratory of Research in Energy, Material, Modeling and Methods, National high school polytechnicDouala po box 2701Douala, CameroonUniversity of Douala, Laboratory of Research in Energy, Material, Modeling and Methods, National high school polytechnicDouala po box 2701Douala, CameroonUniversity of Douala, Laboratory of Research in Energy, Material, Modeling and Methods, National high school polytechnicDouala po box 2701Douala, Cameroon; University of Yaoundé I, Laboratory of mathematical engineering and information system, National high school polytechnicYaoundé, Po Box 8390Yaoundé, CameroonUniversity of Douala, Laboratory of Research in Energy, Material, Modeling and Methods, National high school polytechnicDouala po box 2701Douala, Cameroon; University of Yaoundé I, Laboratory of mathematical engineering and information system, National high school polytechnicYaoundé, Po Box 8390Yaoundé, Cameroon; University of Buea, Department of mechanical engineering, HTTTC, Po Box 249 Buea Road, Kumba, CameroonUniversity of Douala, Laboratory of Research in Energy, Material, Modeling and Methods, National high school polytechnicDouala po box 2701Douala, CameroonThe 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.https://doi.org/10.1515/cls-2022-0005rectangular plateelastic foundationgeneralized equations of finite difference methoddiscontinuity |
| spellingShingle | 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 Curved and Layered Structures rectangular plate elastic foundation generalized equations of finite difference method discontinuity |
| 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_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_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_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 |
| topic | rectangular plate elastic foundation generalized equations of finite difference method discontinuity |
| url | https://doi.org/10.1515/cls-2022-0005 |
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