On the Stability of a Differential Equation With Application to the Vibrations of a Particle in the Plane

[+] Author and Article Information
Richard H. Rand, Shoei-Fu Tseng

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

J. Appl. Mech 36(2), 311-313 (Jun 01, 1969) (3 pages) doi:10.1115/1.3564628 History: Received June 13, 1968; Revised September 16, 1968; Online September 14, 2011


The stability of the equation Z̈ + f(t)Z = 0, where f(t) = (δ − ε cos2 t)/(1 − ε cos2 t), is studied by using Floquet theory, Fourier analysis and perturbations. The results are used to study the stability of the vibrations of a particle constrained to a plane and restrained by two identical linear springs with initial stress.

Copyright © 1969 by ASME
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