An equivalent nonlinearization method for analysing response of nonlinear systems to random excitations

In this paper. a hew equivalent nonlinearization method is developed and used in analysing the response of nonlinear systems to Gaussian white noise excitation. Its basic idea and calculation method are expounded. With the help of the presented method several kinds of usual nonlinear random vibration systems are analyzed The numerical results show that the mean square responses of the proposed approach are much closer to the exact solutions or Monte Carlo solutions, than that obtained from equivalent linearization method.