On the approximate solution of a piecewise nonlinear oscillator under super-harmonic resonance

An approximate solution for the super-harmonic resonance response of a periodically excited nonlinear oscillator with a piecewise nonlinear-linear characteristic is constructed using both a matching method and a modified averaging method. The validity of the developed analysis is confirmed by comparing the approximate solutions with the results of direct numerical integration of the original equation. © 2004 Elsevier Ltd. All rights reserved