Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method

For the first time, the finite integral transform method is introduced to explore the accurate bending analysis of orthotropic rectangular thin plates with two adjacent edges free and the others clamped or simply supported. Previous solutions mostly focused on plates with simply supported and clampe...

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Main Authors: Qian Xu, Zhong Yang, Salamat Ullah, Zhang Jinghui, Yuanyuan Gao
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/8848879
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author Qian Xu
Zhong Yang
Salamat Ullah
Zhang Jinghui
Yuanyuan Gao
author_facet Qian Xu
Zhong Yang
Salamat Ullah
Zhang Jinghui
Yuanyuan Gao
author_sort Qian Xu
collection DOAJ
description For the first time, the finite integral transform method is introduced to explore the accurate bending analysis of orthotropic rectangular thin plates with two adjacent edges free and the others clamped or simply supported. Previous solutions mostly focused on plates with simply supported and clamped edges, but the existence of free corner makes the solution procedure much complex to solve by conventional inverse/semi-inverse methods. Compared with the conventional methods, the employed method eliminates the need to preselect the deflection function, which makes it more reasonable and theoretical for calculating the mechanical responses of the plates. Moreover, the approach used can also analyze static problems of moderately thick plates and thick plates with the same boundary conditions investigated in this article. Finally, comprehensive analytical results obtained in this paper illuminate the validity of the proposed approach by comparing with the previous literature and finite element method by using (ABAQUS) software.
format Article
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institution Kabale University
issn 1687-8086
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Advances in Civil Engineering
spelling doaj-art-ca983445cb0f4185a6d1de86d120152d2025-02-03T05:53:10ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/88488798848879Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform MethodQian Xu0Zhong Yang1Salamat Ullah2Zhang Jinghui3Yuanyuan Gao4Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, ChinaFaculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, ChinaFaculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, ChinaFaculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, ChinaKey Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, ChinaFor the first time, the finite integral transform method is introduced to explore the accurate bending analysis of orthotropic rectangular thin plates with two adjacent edges free and the others clamped or simply supported. Previous solutions mostly focused on plates with simply supported and clamped edges, but the existence of free corner makes the solution procedure much complex to solve by conventional inverse/semi-inverse methods. Compared with the conventional methods, the employed method eliminates the need to preselect the deflection function, which makes it more reasonable and theoretical for calculating the mechanical responses of the plates. Moreover, the approach used can also analyze static problems of moderately thick plates and thick plates with the same boundary conditions investigated in this article. Finally, comprehensive analytical results obtained in this paper illuminate the validity of the proposed approach by comparing with the previous literature and finite element method by using (ABAQUS) software.http://dx.doi.org/10.1155/2020/8848879
spellingShingle Qian Xu
Zhong Yang
Salamat Ullah
Zhang Jinghui
Yuanyuan Gao
Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
Advances in Civil Engineering
title Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
title_full Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
title_fullStr Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
title_full_unstemmed Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
title_short Analytical Bending Solutions of Orthotropic Rectangular Thin Plates with Two Adjacent Edges Free and the Others Clamped or Simply Supported Using Finite Integral Transform Method
title_sort analytical bending solutions of orthotropic rectangular thin plates with two adjacent edges free and the others clamped or simply supported using finite integral transform method
url http://dx.doi.org/10.1155/2020/8848879
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AT zhongyang analyticalbendingsolutionsoforthotropicrectangularthinplateswithtwoadjacentedgesfreeandtheothersclampedorsimplysupportedusingfiniteintegraltransformmethod
AT salamatullah analyticalbendingsolutionsoforthotropicrectangularthinplateswithtwoadjacentedgesfreeandtheothersclampedorsimplysupportedusingfiniteintegraltransformmethod
AT zhangjinghui analyticalbendingsolutionsoforthotropicrectangularthinplateswithtwoadjacentedgesfreeandtheothersclampedorsimplysupportedusingfiniteintegraltransformmethod
AT yuanyuangao analyticalbendingsolutionsoforthotropicrectangularthinplateswithtwoadjacentedgesfreeandtheothersclampedorsimplysupportedusingfiniteintegraltransformmethod