Free Vibration Analysis of Nonlinear Circular Plates Resting on Winkler and Pasternak Foundations

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JSMA-12-1_008

تاریخ نمایه سازی: 27 فروردین 1399

Abstract:

Dynamic behaviour of nonlinear free vibration of circular plate resting on two-parameters foundation is studied. The governing ordinary differential equation is solved analytically using hybrid Laplace Adomian decomposition method. The analytical solutions obtained are verified with existing results in literature. The analytical solutions are used to determine the influence of elastic foundation, radial and circumferential stress on natural frequency of the plate. Also, the radial and circumferential stress determined. From the results, it is observed that, increase in elastic foundation parameter increases the natural frequency of the plate. It is recorded that the modal radial and circumferential stress affect the extrema mode of the plate. It is hoped that the present study will contribute to the existing knowledge in the field of vibration analysis of engineering structures.

Keywords:

Free vibration , Natural frequency , Fluid , Two-parameters foundations , Laplace Adomian decomposition method

Authors

M.G Sobamowo

Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria

S.A Salawu

Department of civil and Environmental Engineering, University of Lagos, Akoka, Nigeria

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