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RESEARCH PAPERS

On the Dynamic Response of a Single-Degree-of-Freedom Structure Attached to the Interior of a Rotating Rigid Ring

[+] Author and Article Information
A. G. Hernried

Department of Civil Engineering, University of Utah, Salt Lake City, UT 84112

G. B. Gustafson

Department of Mathematics, University of Utah, Salt Lake City, UT 84112

J. Appl. Mech 55(1), 201-205 (Mar 01, 1988) (5 pages) doi:10.1115/1.3173631 History: Received March 24, 1987; Revised June 28, 1987; Online July 21, 2009

Abstract

The dynamic response of a single-degree-of-freedom structure attached to the interior of a rigid ring that is rotating with constant angular velocity is investigated. It is assumed that the deformations of the structure from the undeformed configuration are small, and that the structure exhibits linear elastic material behavior. Both undamped and viscously damped structures are considered. Inclusion of all of the essential dynamic features of the problem (notably Coriolis effects) results in a nonlinear differential equation governing the response of the attached structure. Numerical and analytical studies are performed on the nonlinear governing equation to determine the response and stability of the structure.

Copyright © 1988 by ASME
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