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Buckling analysis of functionally graded annular sector plates resting on elastic foundations

Buckling analysis of functionally graded annular sector plates resting on elastic foundations In this study, an analytical solution for the buckling of a functionally graded annular sector plate resting on an elastic foundation is presented. The buckling analysis of the functionally graded annular sector plate is investigated for two typical, Winkler and Pasternak, elastic foundations. The equilibrium and stability equations are derived according to the Kirchhoff's plate theory using the energy method. In order to decouple the highly coupled stability equations, two new functions are introduced. The decoupled equations are solved analytically for a plate having simply supported boundary conditions on two radial edges. Satisfying the boundary conditions on the circular edges of the plate yields an eigenvalue problem for finding the critical buckling load. Extensive results pertaining to critical buckling load are presented and the effects of boundary conditions, volume fraction, annularity, plate thickness, and elastic foundation are studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science" SAGE

Buckling analysis of functionally graded annular sector plates resting on elastic foundations

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References (25)

Publisher
SAGE
Copyright
© 2011 Institution of Mechanical Engineers
ISSN
0954-4062
eISSN
2041-2983
DOI
10.1243/09544062jmes2166
Publisher site
See Article on Publisher Site

Abstract

In this study, an analytical solution for the buckling of a functionally graded annular sector plate resting on an elastic foundation is presented. The buckling analysis of the functionally graded annular sector plate is investigated for two typical, Winkler and Pasternak, elastic foundations. The equilibrium and stability equations are derived according to the Kirchhoff's plate theory using the energy method. In order to decouple the highly coupled stability equations, two new functions are introduced. The decoupled equations are solved analytically for a plate having simply supported boundary conditions on two radial edges. Satisfying the boundary conditions on the circular edges of the plate yields an eigenvalue problem for finding the critical buckling load. Extensive results pertaining to critical buckling load are presented and the effects of boundary conditions, volume fraction, annularity, plate thickness, and elastic foundation are studied.

Journal

"Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"SAGE

Published: Feb 1, 2011

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