Static Analysis of Functionally Graded Annular Plate Resting on Elastic Foundation Subject to an Axisymmetric Transverse Load Based on the Three Dimensional Theory of Elasticity

Journal of Solid Mechanics

مقاله 8، دوره 2، شماره 3، آذر 2010، صفحه 290-304   

نوع مقاله: Research Paper

نویسندگان

A Behravan Rad^{* 1}؛ A Alibeigloo²؛ S.S Malihi¹

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

²Department of Mechanical Engineering, Engineering Faculty, Tarbiat Modares University

چکیده

In this paper, static analysis of functionally graded annular plate resting on elastic foundation with various boundary conditions is carried out by using a semi-‍analytical approach‍ (SSM‍-DQM). The differential governing equations are presented based on the three dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially through the thickness direction and the Poisson’s ratio remain constant. The system of governing partial differential equations can be writhen as state equations by expanding the state variables and using the state space method (SSM) about thickness direction and applying the one dimensional differential quadrature method (DQM) along the radial direction. Interactions between the plate and two parameter elastic foundations are treated as boundary conditions. The stresses and displacements distributions are obtained by solving these state equations. In this study, the influences of the material property graded index, the elastic foundation coefficients (Winkler-Pasternak), the thickness to radius ratio, and edge supports effect on the bending behavior of the FGM annular plate are investigated and discussed in details.

کلیدواژه‌ها

FGM annular Plate؛ Elastic foundation؛ Semi-Analytical Method؛ differential quadrature؛ state space

مراجع

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