Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2006 / Article
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Nonlinear Dynamics and Their Applications to Engineering Sciences

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Volume 2006 |Article ID 026081 | https://doi.org/10.1155/MPE/2006/26081

L. V. Kurpa, T. V. Shmatko, O. G. Onufrienko, "Research of nonlinear vibrations of orthotropic plates with a complex form", Mathematical Problems in Engineering, vol. 2006, Article ID 026081, 17 pages, 2006. https://doi.org/10.1155/MPE/2006/26081

Research of nonlinear vibrations of orthotropic plates with a complex form

Received30 Nov 2004
Revised27 May 2005
Accepted07 Jul 2005
Published25 Apr 2006

Abstract

This paper deals with effects of large amplitude on the free and forced flexural vibrations of elastic orthotropic plates of arbitrary shape. R-function method (RFM) is applied to obtain the basis functions need for expansion of sought solution into Fourier series. The initial nonlinear system of differential equations with partial derivatives is reduced to system of ordinary nonlinear differential equations by Galerkin procedure. The solving-obtained system is carried out by Runge-Kutta or Galerkin methods. The numerical results for the plate of complex form and also rectangular form and different boundary conditions have been presented and compared with other known results.

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Copyright © 2006 L. V. Kurpa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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