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RESEARCH PAPERS

On the Stability of the Vibrations of Two Coupled Particles in the Plane

[+] Author and Article Information
R. H. Rand, S. F. Tseng

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y.

J. Appl. Mech 36(3), 417-419 (Sep 01, 1969) (3 pages) doi:10.1115/1.3564695 History: Received August 08, 1968; Revised February 18, 1969; Online September 14, 2011

Abstract

The stability of the vibrations of two identical particles constrained to a plane and restrained by three identical linear springs with initial stress is studied by uncoupling the first variational equations and applying Floquet theory and perturbations. A new stability parameter is introduced which indicates stability by virtue of its sign.

Copyright © 1969 by ASME
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