Some Aspects on the Nature of Singularity Fields Allowed in Two Different Plate Problems
Yos Sompornjaroensuk
Department of Civil Engineering, Faculty of Engineering
Mahanakorn University of Technology, Bangkok 10530, Thailand
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Parichat Kongtong
Applied Mathematics and Mechanics Research Laboratory, Faculty of Engineering
Thai-Nichi Institute of Technology, Bangkok 10250, Thailand
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Manuscript received October 17, 2016
Revised December 11, 2016



ABSTRACT
The aim of this paper is to analytically examine the nature of singularity fields that can be allowed to exist in two different problems of uniformly loaded square plate in which both plates have partial simple supports symmetrically placed at the central portion of all edges. In the first case, the corners of the plate are unconstrained and can be bent away upon loading, but not for the second case where each corner is anchored by a point column support to prevent a deflection vertically. Significantly, both problems can be analyzed and treated within the same formulation with slight modifications by means of the proper finite Hankel integral transforms. Additionally, some limiting cases of the plates are also able to be determined within the frame of these problem formulations.

Keywords: Singularity, Square plate, Partial simple support, Point support, Hankel integral transform.

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