Frequency Response and Power Spectrum of an Oscillator having a Nonlinear Resistance Driven by Periodic and Random Forces

Abstract

An oscillator having a nonlinear resistance was simulated by an analog circuit, and its spectra were measured when periodic and random forces were applied. The oscillation without random forces was classified into several types. A new type of oscillation which showed an amplitude modification was detected, and its spectra consisted of many satellite lines in both sides of the central line, whose frequency was that of the applied periodic force. In another type of oscillation the hysteresis phenomena similar to that of Duffing oscillator were observed. The effects of external random forces were also examined.