Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Nonlinear vibration analysis of laminated composite plates using approximate and analytical methods

Authors
Abstract
In this paper, the analysis of nonlinear free vibration in laminated composite plates is presented using two approximate analytical methods. Since it is necessary to investigate the effects of different parameters on nonlinear vibrations of composite plates and to find an analytical-approximate solution, a composite plate was modeled considering nonlinear terms in Von Karman strain-displacement relations, at first. Then, the partial differential equation governing the nonlinear motion was extracted and the equation was reduced in to an ordinary non-linear differential equation. Homotopy analysis method is an effective and accurate method for solving nonlinear differential equations and also the frequency amplitude method has good accuracy beside its simplicity. In this regard, in order to achieve an acceptable analytical-approximate solution, the mentioned methods were used. The results reveal that the proposed methods have high accuracy while it offers an analytical closed form solution for the nonlinear problem. Finally, the effect of different parameters such as aspect ratio, layers configuration and modulus ratio on the frequency ratio of isotropic and composite plates was studied.
Keywords

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Volume 17, Issue 1 - Serial Number 38
System Dyanamics and Solid Mechanics
Spring 2015
Pages 16-39

  • Receive Date 22 May 2015