The Vibration Response of a Linear Undamped System Resting on a Nonlinear Spring

[+] Author and Article Information
P. R. Paslay, M. E. Gurtin

General Engineering Laboratory, General Electric Company, Schenectady, N. Y.

J. Appl. Mech 27(2), 272-274 (Jun 01, 1960) (3 pages) doi:10.1115/1.3643950 History: Received April 23, 1959; Online September 16, 2011


The steady-state, undamped-displacement-amplitude response of a linear system on a single nonlinear spring due to a force excitation which varies sinusoidally with time is investigated. The force-displacement relation of the spring is

F = k(x + εx3)  (1)
The Fourier component of the displacement-amplitude response of the system at the forcing frequency and its third harmonic are considered.

Copyright © 1960 by ASME
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