Elastic Instability of a Heated Annular Plate Under Lateral Pressure

[+] Author and Article Information
J. Tani

Institute of High Speed Mechanics, Tohoku University, Sendai, Japan

J. Appl. Mech 48(2), 399-403 (Jun 01, 1981) (5 pages) doi:10.1115/1.3157629 History: Received July 01, 1980; Online July 21, 2009


On the basis of the dynamic version of the nonlinear von Karman equations, a theoretical analysis is performed on the elastic instability of a uniformly heated, thin, annular plate which has suffered a finite axisymmetric deformation due to lateral pressure. The linear free vibration problems around the finite axisymmetric deformation of the plate are solved by a finite-difference method. By examining the frequency spectrum with various asymmetric modes, the critical temperature rise under which the axisymmetric deformation becomes unstable due to the bifurcation buckling is determined, which is found to jump up to 7.2 times within a range of very small lateral pressure.

Copyright © 1981 by ASME
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