Stability and Vibrations of Geometrically Nonlinear Cylindrically Orthotropic Circular Plates

[+] Author and Article Information
D. Shilkrut

Department of Mechanical Engineering, The Pearlstone Center for Aeronautical Engineering Studies, Ben-Gurion University of the Negev, Beer Sheva, Israel

J. Appl. Mech 51(2), 354-360 (Jun 01, 1984) (7 pages) doi:10.1115/1.3167625 History: Received July 01, 1982; Revised January 01, 1984; Online July 21, 2009


The stability analysis of axisymmetrical equilibrium states of geometrically nonlinear, orthotropic, circular plates that are deformed by multiparameter loading, including thermal influence, is presented. The dynamic method (method of small vibrations) is used to accomplish this purpose. The behavior of the plate in different cases is revealed. In particular, it is shown that two different types of snapping processes can occur. The values of frequencies of small eigenvibrations from various cases have been calculated. These investigations are realized by numerical and qualitative methods. Here only the numerical results are presented.

Copyright © 1984 by ASME
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