Assessment of hybrid method on investigation of dynamic behaviour of isotropic rectangular plates resting on two-parameters foundation
Автор: Salawu Saheed, Sobamowo Gbeminiyi
Журнал: Журнал Сибирского федерального университета. Серия: Техника и технологии @technologies-sfu
Статья в выпуске: 2 т.13, 2020 года.
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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.
Dynamic analysis, natural frequency, deflection, winkler and pasternak, laplace and variation parameters method
Короткий адрес: https://sciup.org/146281583
IDR: 146281583 | DOI: 10.17516/1999-494X-0213
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