Author(s)

M. Zaman, M.O. Faruque, A. Agrawal & J. Laguros

Abstract

The free vibration analysis of plates resting on a two-parameter elastic medium is studied through a finite element procedure. The associated shape functions are derived from the solution of a beam resting on the two-parameter medium. A parametric study is conducted to identify the influence of various factors on the mode shapes and natural frequencies. 1 Introduction The study of free vibrations of plates resting on soils, is performed to ascertain that displacements and stresses induced by cyclic loads, such as random loads from earthquakes, in machine foundations, on highway and airport pavements are within design specifications. To render the analysis simpler various assumptions are made among which the most significant is that the supporting soil is a Winkler medium. Studies by a number of researchers (Cheung and Zienkiewi

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