Analysis of Free Vibration Sector Plate Based on Elastic Medium by using New Version of Differential Quadrature Method

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

مسلم محمدی ¹ , مصطفی غیور ² , علی فرج پور ³

1 - کارشناس ارشد، دانشکده مکانیک، دانشگاه صنعتی اصفهان.
2 - دانشیار، دانشکده مکانیک، دانشگاه صنعتی اصفهان.
3 - کارشناس ارشد، دانشکده مکانیک، دانشگاه صنعتی اصفهان.

Received: 2015-09-30 Accepted : 2015-09-30 Published : 2010-12-22

Keywords: Differential quadrature method, Vibration, Pasternak foundation, Circular Sector plate, Polar Orthotropic,

Abstract :

The new version of differential quadrature (DQ) method is extended to analyze the free vibration of thin sector orthotropic plates on the Pasternak elastic foundation with various sector angles and elastic parameters. Detailed formulations are given. Comparisons are made with existing analytical and/or numerical data. Numerical results indicate that convergence can be achieved with increasing in number of grid points. The accurate results could be obtained with 9x9 or even higher grid. It is found that the results are influenced by grid spacing and for obtaining the accurate and reliable result non-uniform grid should be used.

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