Jump Avoidance Conditions for Piecewise Linear Vibration Isolator

Piecewise linear systems being highly non-linear, standard perturbation methods cannot produce an analytical expression for the frequency response. Hence, an adapted averaging method is employed to obtain an implicit function for frequency response of a bilinear system under steady state. This function is examined for jump-avoidance and a condition is derived which when met ensures that the undesirable phenomenon of ‘Jump’ does not occur and the system response is functional and unique.