Thermally Induced Instability of Laminated Beams and Plates

[+] Author and Article Information
A. Tylikowski, R. B. Hetnarski

Department of Mechanical Engineering, Rochester Institute of Technology, Rochester, NY 14623

J. Appl. Mech 63(4), 884-890 (Dec 01, 1996) (7 pages) doi:10.1115/1.2787243 History: Received December 06, 1993; Revised April 12, 1996; Online October 26, 2007


A theoretical investigation of dynamic stability for linear elastic structures due to non-uniform, time and space-dependent stochastic temperature fields is presented. The study is based on the reformulation of stochastic stability problems as a stability of Itô type equations in some appropriate Hilbert space and is adopted for stability problems of structures with time and space-dependent stochastic coefficients. Uniform stochastic stability criteria of the structure equilibrium are derived using the Liapunov direct method. The energy-like functional and the generalized ltô lemma are used to derive the sufficient stability conditions of the equilibrium state. A symmetrically laminated crossply plate subjected to the wide-band Gaussian temperature distribution and a laminated beam subjected to local short-time heatings are analysed in detail.

Copyright © 1996 by The American Society of Mechanical Engineers
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