An Asymptotic Method for Over-damped Forced Nonlinear Vibration Systems with Slowly Varying Coefficients

A technique is presented for obtaining an asymptotic solution of over damped nonlinear forced vibrating systems by general Struble’s technique and extended KBM method with varying coefficients. The implementation of the presented method is illustrated by an example. The first order analytical approximate solutions obtained by the method for different initial conditions show a good agreement with those obtains by numerical method.