A new analytical approach to derive global function form of periodic solutions for impact oscillator

A new analytical method to derive exact global form of all periodic solutions appearing in one degree of freedom forced impact oscillator is proposed. The method proposed here based on pseudo-feedback approach that has been introduced by authors to obtaining general solutions globally for piecewise linear systems. According to this method, the function form of all periodic solutions are globally represented by superposition of stationary periodic solution for linear system and finite number of periodic functions which are constructed by infinite number of responses caused by converted equivalent nonlinearity.