Response Analysis of Nonlinear Multi-degree of Freedom Systems to Non-Gaussian Random Excitations

Abstract

AbstractA novel approach for response analysis of multi-degree-of-freedom (mdof) nonlinear systems under non-Gaussian nonstationary random excitations is presented. It 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 is studied in the present investigation. 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.KeywordsNonlinearMulti-degree-of-freedom systemsNon-Gaussian excitations