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Vibration of Circular and Annular Plates Resting on Pasternak Foundation with a Variable Modulus, Subjected to a Moving Mass
, M.Sc. Thesis Sharif University of Technology ; Mofid, Massood (Supervisor) ; Foyouzat, Mohammad Ali (Co-Supervisor)
Abstract
This thesis aims to study the dynamic behavior of circular and annular plates. First, free vibration of the plate, resting on a Pasternak foundation with a variable subgrade modulus, by using the infinite power series method is presented. The proposed method applies to various boundary conditions with no restriction. A comprehensive study is carried out to investigate the effects of the different parameters on the behavior of the plate. The obtained results demonstrate that the Pasternak foundation has a significant influence on the natural frequencies and greatly increases them. Secondly, the dynamic response of thin and moderately thick plates subjected to a moving load is considered. In...
Free vibration of thin circular plates resting on an elastic foundation with a variable modulus
, Article Journal of Engineering Mechanics ; Volume 142, Issue 4 , 2016 ; 07339399 (ISSN) ; Mofid, M ; Akin, J. E ; Sharif University of Technology
Abstract
An exact solution is established pertaining to the problem of undamped free vibration of a thin circular plate resting on a Winkler foundation with variable subgrade modulus. The solution is performed by applying the infinite power series method. Moreover, the solution procedure is demonstrated through an illustrative example, wherein the general frequency equation is derived for two different boundary conditions. The correctness of the solution is also verified using results available in the literature. Finally, it is shown that the proposed method of solution is directly applicable to the more-general problem of circular plates on a variable-modulus Pasternak-type foundation