Abstract: The present paper introduces and discusses a stochastic finite element method. It can be used for the analysis of structural and mechanical systems whose geometrical and material properties have spatial random variability. ...

Abstract: This paper briefly reviews the two complementary descriptions of a dynamical system in its phase space as follows: (1) The Lagrangian point-of-view (leading to either a Monte Carlo simulation or a Gibbs set evolution study); ...

Abstract: Recent state‐of‐the‐art reports emphasize the generality of stochastic equivalent linearization techniques in the nonlinear dynamic analysis of stochastically excited structures. When a three‐dimensional frame is considered, ...