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

Abstract
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.

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