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- W2392142956 abstract "Many engineering problems can be modeled by a rectangular plate on elastic foundation with four free edges.However,the analytical solution to this problem is considered to be difficult for a long time.Based on a comprehensive study on the existing analytical solutions for rectangular plates,a new deflection function is proposed in this paper which consists of trigonometrical functions and polynomial expressions.This function is orthogonal and satisfies all the boundary conditions on four free edges and the conditions at four free corner points.Solutions for bending,free vibrations and stability of a rectangular plate on elastic foundation with four free edges are derived by using Galerkin method.Two examples found from references are analyzed and the results are compared with those from the literature which used other methods such as finite element method,finite difference method.The agreement is found to be satisfactory which proves the validity of the new deflection function in solving the problem of a rectangular plate on elastic foundation with four free edges.This new deflection function will be of important practical applications." @default.
- W2392142956 created "2016-06-24" @default.
- W2392142956 creator A5021726955 @default.
- W2392142956 date "2003-01-01" @default.
- W2392142956 modified "2023-09-23" @default.
- W2392142956 title "A New Deflection Function for the Problem of a Rectangular Plate on Elastic Foundation with Four Free Edges" @default.
- W2392142956 hasPublicationYear "2003" @default.
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