On the Buckling of a Circular Plate on an Elastic Foundation

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering,  Michigan State University, East Lansing, MI 48824 Member ASME

J. Appl. Mech 72(5), 795-796 (Nov 22, 2004) (2 pages) doi:10.1115/1.1988347 History: Received October 11, 2004; Revised November 22, 2004

The buckling of a circular plate on an elastic foundation is studied analytically. The buckling mode may not be axisymmetric as previously assumed.

Copyright © 2005 by American Society of Mechanical Engineers
Topics: Buckling , Stress
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Grahic Jump Location
Figure 1

Buckling load parameter λ versus foundation stiffness parameter γ for the clamped edge. Only the solid line represents the buckling load. Small circles denote a change in buckling modes. The dotted line is from the n=2 mode. The buckling modes are shown schematically as disks with nodal lines.

Grahic Jump Location
Figure 2

λ versus γ for the simply-supported edge. Legend is similar to that of Fig. 1.

Grahic Jump Location
Figure 3

λ versus γ for the free edge. Legend is similar to that of Fig. 1.



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