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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 50
Edited by: B.H.V. Topping and M.B. Leeming
Paper II.2

High Order Cost Effective Modeling of Plates on Elastic Foundation

M. Arad, A. Yakhot and G. Ben-Dor

Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beersheva, Israel

Full Bibliographic Reference for this paper
M. Arad, A. Yakhot, G. Ben-Dor, "High Order Cost Effective Modeling of Plates on Elastic Foundation", in B.H.V. Topping, M.B. Leeming, (Editors), "Innovation in Computer Methods for Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 39-42, 1997. doi:10.4203/ccp.50.2.2
A two-dimensional accurate algorithm for a 9-point scheme is formulated. The formula approximate solutions of deflection of plates resting on elastic foundations. The truncation error for the suggested scheme is of the sixth-order on a square mesh and of the fourth-order on an unequally spaced mesh. The difference in the accuracy as compared to that of the standard finite difference formula, having an accuracy of the second-order, is significant. To the best of our knowledge a numerical algorithm for approximating the equation under consideration using a 9-point scheme which has an accuracy of the order of h6 does not exist in the open literature. In the following the algorithm and the method yielding the algorithm will be introduced. Examples with various boundary conditions are considered. In order to demonstrate the high-order accuracy of the method, the numerical results are compared with the exact solution.

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