Abstract
In this paper, a newly developed method on random response analysis of the non-linear, but non-hysteretic systems subjected to nonstationary exitation is proposed. At first, Fokker-Planck equation for single-degree-of-freedom systems is derived, then local uniform grid refinement (LUGR) method is applied to solve numerically the Fokker-Planck equation. In order to examine the simulation capabilities of this method, numerical solutions of simple linear systems are compared with those obtained by the theory. Finally, several solutions for the earthquake response of non-linear systems are given, and the validity of the newly proposed method are verified
