Investigation Into The Response Variability of A Higher-Order Beam Resting on A Foundation Using A Stochastic Finite Element Method

Abstract

This study deals with the response variability of a beam resting on an elastic foundation using a stochastic finite element method (SFEM). Use of SFEM for a higher-order beam on an elastic foundation with a random field of elastic modulus is proposed. This random field of elastic modulus is assumed to be a one-dimensional Gaussian random field. A random field is discretized by a weighted integration method to build the stochastic finite element formulation. A numerical example is presented to validate the proposed formulation, and the results are compared with those obtained using Monte Carlo simulation. The response variability of the beam and effect of the parameter of the random field are investigated in detail.