scholarly journals Generalized Integral Transform Method for Bending and Buckling Analysis of Rectangular Thin Plate with Two Opposite Edges Simply Supported and Other Edges Clamped

2021 ◽  
Vol 6 (1) ◽  
pp. 283-296
Author(s):  
Charles Chinwuba Ike ◽  
Michael Ebie Onyia ◽  
Eghosa Oluwaseyi Rowland-Lato
Keyword(s):  
Thin Plate ◽  
Integral Transform ◽  
Buckling Analysis ◽  
Rectangular Thin Plate ◽  
Transform Method ◽  
Simply Supported ◽  
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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