Dynamics of a Plate in Large Overall Motion

[+] Author and Article Information
A. K. Banerjee

Lockheed Missiles and Space Co., Sunnyvale, CA 94089

T. R. Kane

Stanford University, Stanford, CA 94305

J. Appl. Mech 56(4), 887-892 (Dec 01, 1989) (6 pages) doi:10.1115/1.3176187 History: Received November 30, 1987; Revised February 01, 1988; Online July 21, 2009


Equations of motion are formulated for a thin elastic plate that is executing small motions relative to a reference frame undergoing large rigid body motions (three-dimensional rotation and translation) in a Newtonian reference frame. As an illustrative example, a spin-up maneuver for a simply-supported rectangular plate is examined, and the vibration modes of such a plate are used to show that the present theory captures the phenomenon of dynamic stiffening .

Copyright © 1989 by ASME
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