Non-Gaussian equivalent linearization for nonstationary random vibration of a 2-DOF hysteretic system

In the previous paper an approximate analytical method was developed for calculating the nonstationary responses of a single DOF system with bilinear hysteresis subjected to amplitude modulated nonwhite random excitation. The method consists of the non-Gaussian equivalent linearization technique and the use of the moment equations approach. In the present paper the method is extended and applied to random vibration analysis of a two DOF hysteretic system. The mean, square responses and the mean dissipated hysteretic energy are obtained and compared with the corresponding digital simulation results.