Abstract:

In this presentation an approach for response analysis of multi-degree-of-freedom (mdof) nonlinear systems under non-Gaussian nonstationary random excitations is introduced. The approach makes use of the stochastic central difference (SCD) method, time co-ordinate transformation (TCT), and adaptive time scheme (ATS). For tractability and simplicity of illustration, a two degree-of-freedom (dof) nonlinear asymmetric system under a non-Gaussian nonstationary random excitation has been investigated and reported in this presentation. Comparisons between computed results obtained for the system with Gaussian random excitations to those of the same system under non-Gaussian random excitations are made. It is concluded that the proposed approach is relatively very efficient, simple, and accurate for response analysis of mdof highly nonlinear systems under non-Gaussian nonstationary random excitations.