The new version of Differential Quadrature Buckling Analyses of FGM Rectangular Plates Under Non-Uniform Distributed In-Plane Loading

Najafizadeh, Mohammad Mehdi; Kazemi Mehrabadi, Reza

The new version of Differential Quadrature Buckling Analyses of FGM Rectangular Plates Under Non-Uniform Distributed In-Plane Loading

Document Type : Persian

Authors

¹ Assistant Professor, Islamic Azad University, Arak Branch.

² M.Sc. Mechanical Engineering, Islamic Azad University, Arak Branch.

Abstract

In this paper the buckling coefficient of FGM rectangular plates calculated by the new version of differential quadrature method (DQM). At the first the governing differential equation for plate has been calculated and then according to the new version of differential quadrature method (DQM) the existence derivatives in equation , convert to the amounts of function in the grid points inside of the region is solved .With doing this , The equation will be converted to an eigen value problem and the buckling coefficient is obtained .
In the solving of this problem two kinds of loading for all edges are simply supported or clamped are considered and also the effect of power law index over the buckling coefficient is considered . For the case Isotropic the results are compared well with finite element and finite difference results.This fact indicates that the new version of DQ method can be employed for obtaining buckling loads of plates subjected to non–uniform distributed loading for other boundary conditions.

Keywords

References

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