Effect of Non-ideal Boundary Conditions on Buckling of Rectangular Functionally Graded Plates

Subject Areas : Engineering

J Mohammadi ¹ , M Gheisary ²

1 - Department of Mechanical Engineering, Islamic Azad University, Arak Branch
2 - Faculty of Engineering, Islamic Azad University, Khomein Branch

Received: 2009-05-25 Accepted : 2009-07-27 Published : 2009-07-30

Keywords: Buckling, Functionally graded plates, Non-ideal boundary conditions, Sliding support, Perturbation,

Abstract :

We have solved the governing equations for the buckling of rectangular functionally graded plates which one of its edges has small non-zero deflection and moment. For the case that the material properties obey a power law in the thickness direction, an analytical solution is obtained using the perturbation series. The applied in-plane load is assumed to be perpendicular to the edge which has non-ideal boundary conditions. Making use of the Linshtead-Poincare perturbation technique, the critical buckling loads are obtained. The results were then verified with the known data in the literature.

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