Influence of Geometric Imperfections and In-Plane Constraints on Nonlinear Vibrations of Simply Supported Cylindrical Panels

[+] Author and Article Information
David Hui

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210

J. Appl. Mech 51(2), 383-390 (Jun 01, 1984) (8 pages) doi:10.1115/1.3167629 History: Received January 01, 1983; Revised July 01, 1983; Online July 21, 2009


This papers deals with the effects of initial geometric imperfections on large-amplitude vibrations of cylindrical panels simply supported along all four edges. In-plane movable and in-plane immovable boundary conditions are considered for each pair of parallel edges. Depending on whether the number of axial and circumferential half waves are odd or even, the presence of geometric imperfections (taken to be of the same shape as the vibration mode) of the order of the shell thickness may significantly raise or lower the linear vibration frequencies. In general, an increase (decrease) in the linear vibration frequency corresponds to a more pronounced soft-spring (hard-spring) behavior in nonlinear vibration.

Copyright © 1984 by ASME
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