Buckling Analyses of Rectangular Plates Composed of Functionally Graded Materials by the New Version of DQ Method Subjected to Non-Uniform Distributed In-Plane Loading

Journal of Solid Mechanics

مقاله 7، دوره 1، شماره 1، خرداد 2009، صفحه 58-72   

نوع مقاله: Research Paper

نویسندگان

R Kazemi Mehrabadi¹؛ V.R Mirzaeian^{* 2}

¹Department of Mechanical Engineering, Islamic Azad University, Arak Branch

²Iran University of Science and Technology

چکیده

In this paper, the new version of differential quadrature method (DQM), for calculation of the buckling coefficient of rectangular plates is considered. At first the differential equations governing plates have been calculated. Later based on the new version of differential quadrature method, the existing derivatives in equation are converted to the amounts of function in the grid points inside the region. Having done that, the equation will be converted to an eigen value problem and the buckling coefficient is obtained. Solving this problem requires two kinds of loading: (1) unaxial half-cosine distributed compressive load and (2) uni-axial linearly varied compressive load. Having considered the answering in this case and the analysis of the effect of number of grid points on the solution of the problem, the accuracy of answering is considered, and also the effect of power law index over the buckling coefficient is investigated. Finally, if the case is an isotropic type, the results will be compared with the existing literature.

کلیدواژه‌ها

Buckling؛ Functionally Graded Materials؛ Rectangular plates؛ Differential quadrature method؛ Non-uniform distributed in-plane loading

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