INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - volume12 issue 11, November 2023

Pages: 13-20

Date of Publication: 07-Nov-2023

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Critical Buckling of Orthotropic Clamped Plate Resting on Elastic Foundation

Author: Ahmed M. Farag El Sheikh

Category: Engineering, Science and Mathematics

Abstract:

The main objective of this paper is to offer an analytic solution to study the critical buckling of orthotropic rectangular clamped plate resting on elastic foundation. An improved technique based on wide panel-transition matrix is presented here. Strip technique based on wide panels is implemented with exponential matrix to achieve the purposed analytical solutions. Reduction the number of strips of the decomposed domain of plate is successfully substituted by a little number of wide strips to save time and effort without decreasing the accuracy. The critical buckling of rectangular plate under in-plane compressive forces is studied under the effect of acting in-plane forces. Analytic results of buckling loads are obtained for orthotropic clamped plate. The study includes the effects of the aspect ratios and coefficients of elastic foundation on critical buckling of rectangular plates. Validity of the present method is examined by comparing the obtained results with those available in literature. Comparisons proved the good accuracy of the present technique.

Keywords: Analytic; Exponential Matrix; Critical Buckling; Orthotropic Plate; Elastic Foundation