Journal of Siberian Federal University. Engineering & Technologies / Assessment of Hybrid Method on Investigation of Dynamic Behaviour of Isotropic Rectangular Plates Resting on Two-Parameters Foundation

Full text (.pdf)
Issue
Journal of Siberian Federal University. Engineering & Technologies. 2020 13 (2)
Authors
Salawu, Saheed; Sobamowo, Gbeminiyi
Contact information
Salawu, Saheed: University of Lagos Akoka, Nigeria; ; Sobamowo, Gbeminiyi: University of Lagos Akoka, Nigeria;
Keywords
dynamic analysis; natural frequency; deflection; Winkler and Pasternak; Laplace and variation parameters method
Abstract

Dynamic behaviour of isotropic rectangular plate resting on two-parameter foundation is investigated. The governing partial differential equation is transformed to ordinary differential equation due to Galerkin method of separation. The hybrid method of Laplace transform and variation parameters method is used to analyze the ordinary differential equation. Introduction of exact method helps in fast convergence of the results. Obtained analytical solutions are compared with existing literature and confirmed as accurate. They are used to examine the effect of controlling parameters on the plate natural frequencies. Due to obtained results it is obvious that, the increase of both elastic foundation parameter and aspect ratio results in increasing the natural frequency. The solution is found immediately by means of a few iterations

Pages
162-174
DOI
10.17516/1999-494X-0213
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/135150

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