AN INTERPOLATION FUNCTION METHOD FOR STOCHASTIC FEM ANALYSIS UNDER DYNAMIC LOADS USING FREQUENCY RESPONSE ANALYSIS

Abstract

This paper proposes a new method of frequency response analysis of probabilistic structures using FEM to evaluate the stochastic dynamic behavior of structures with uncertain parameters. It presents some numerical examples including verification by Monte-Carlo Simulation (MCS). The frequency transfer function H (ω) of displacement of a system is expanded into the first-order Taylor series at the mean values of input parameters. Then a function similar to the frequency transfer function of a SDOF system is specified to interpolate each input parameter axis. Using these specific interpolated frequency transfer functions, the mean and standard deviation time history of response can be obtained.