Transient Response of Three-Layered Rings

[+] Author and Article Information
M. J. Sagartz

Simulation Research Department, Sandia Laboratories, Division 5233, Albuquerque, Nex Mex.

J. Appl. Mech 44(2), 299-304 (Jun 01, 1977) (6 pages) doi:10.1115/1.3424041 History: Received March 01, 1976; Revised November 01, 1976; Online July 12, 2010


Hamilton’s principle is used to derive equations of motion for a linear elastic three-layered ring. The theory includes the effects of shear deformation and rotatory inertia in each layer and radial strain effects in the middle layer. A convenient computational technique is developed for transient response evaluation. A companion experimental study was conducted using two different rings. Both rings had aluminum inner and outer layers, but each had a different low-modulus middle layer. Radial impulse loads distributed as a cosine over half the ring circumference, were applied to the outer ring surface, and the transient response was monitored with strain gages mounted on the aluminum layers. Measured strain-time histories were compared with theoretical calculations, and good agreement was obtained.

Copyright © 1977 by ASME
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