ABSTRACT
In addition to the SL and SNL techniques, another class of techniques for approximate solutions to equations of sdof and mdof nonlinear systems is the stochastic averaging methods. In general, every stochastic averaging method consists of two stages. The first stage is concerned with the averaging of the terms that do not include forcing functions. Therefore, this stage of solution is similar to the averaging methods for deterministic systems. The second stage of solution is the approximation of the terms including the forcing functions of broad-band processes to white noises. This, in turn, implies that the approximate differential equation for the response process is a stochastic differential equation of the Ito type.
