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RESEARCH PAPERS

Nonlinear Flexural Vibrations of Thin Circular Rings

[+] Author and Article Information
D. A. Evensen

NASA Langley Research Center, Langley Station, Hampton, Va.

J. Appl. Mech 33(3), 553-560 (Sep 01, 1966) (8 pages) doi:10.1115/1.3625121 History: Received March 29, 1965; Revised September 07, 1965; Online September 15, 2011

Abstract

The nonlinear flexural vibrations of thin circular rings are analyzed by assuming two vibration modes and then applying Galerkin’s procedure on the equations of motion. The results show that vibrations involving either a single bending mode or two coupled bending modes can occur. Theory and experiment both indicate a nonlinearity of the softening type and the existence of these coupled-mode vibrations. Test results for the steady-state response are in good agreement with the calculated values, and the deflection modes used in the analysis agree with the experimental mode shapes. The analytical and experimental results exhibit several features that are characteristic of nonliner vibrations of axisymmetric systems in general and of circular cylindrial shells in particular.

Copyright © 1966 by ASME
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