Buckling analysis of rectangular thin plates with two opposite edges free and others rotationally restrained by finite Fourier integral transform method

2020 ◽  
Author(s):  
Jinghui Zhang ◽  
Jiale Lu ◽  
Salamat Ullah ◽  
Yuanyuan Gao ◽  
Dahai Zhao
Keyword(s):  
Integral Transform ◽  
Fourier Integral ◽  
Buckling Analysis ◽  
Thin Plates ◽  
Transform Method ◽  
Fourier Integral Transform ◽  
Integral Transform Method

Interaction between an Embedded Crack and an Interface Crack in Nonhomogeneous Coating System

2005 ◽  
Vol 492-493 ◽  
pp. 397-402
Author(s):  
E.E. Theotokoglou ◽  
Glaucio H. Paulino
Keyword(s):  
Coordinate System ◽  
Half Plane ◽  
Stress Condition ◽  
Integral Transform ◽  
Local Coordinate System ◽  
Fourier Integral ◽  
Plane Stress Condition ◽  
Transform Method ◽  
Fourier Integral Transform ◽  
Embedded Crack

A general methodology is constructed for the fundamental solution of a crack in the homogeneous half-plane interacting with a crack at the interface between the homogeneous elastic half-plane and the nonhomogeneous elastic coating in which the shear modulus varies exponentially with one coordinate. The problem is solved under plane strain or generalized plane stress condition using the Fourier integral transform method. The stress field in the homogeneous half plane is evaluated by the superposition of two states of stresses, one is associated with a local coordinate system in the infinite fractured plate, while the other in the infinite half plane defined in a structural coordinate system.

Accurate bending analysis of rectangular thin plates with corner supports by a unified finite integral transform method

2019 ◽  
Vol 230 (10) ◽  
pp. 3807-3821 ◽  
Author(s):  
Jinghui Zhang ◽  
Chao Zhou ◽  
Salamat Ullah ◽  
Yang Zhong ◽  
Rui Li
Keyword(s):  
Integral Transform ◽  
Thin Plates ◽  
Transform Method ◽  
Bending Analysis ◽  
Finite Integral ◽  
Integral Transform Method

scholarly journals 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

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Qian Xu ◽  
Zhong Yang ◽  
Salamat Ullah ◽  
Zhang Jinghui ◽  
Yuanyuan Gao
Keyword(s):  
Integral Transform ◽  
Solution Procedure ◽  
Thin Plates ◽  
Transform Method ◽  
Thick Plates ◽  
Simply Supported ◽  
Mechanical Responses ◽  
Finite Integral ◽  
Moderately Thick Plates ◽  
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 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.

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