Canonical Forms of Periodic Solution for Piecewise Linear Oscillators : Proposition of Feedback Superposition Method

Abstract

A new method for getting periodic solutions for Piecewise Linear Oscillator is proposed. From the steady state responses, periodic solution for the oscillators can be derived by using pseudo feedback approach. It is shown that for some piecewise linear systems, periodic solution can be globaly represented by the form of superposition of steady response of linear system and periodic pseudo feedback responses. By comparing the results through the method with those of numerical simulations, the validity of the proposed method is confirmed.