A Galerkin finite element technique for stochastic field problems (Q1261954)

A new finite element method is developed to analyse the structure with more than one parameter behaving in a stochastic manner. The Galerkin weighted residual method is used. As a generalization, this paper treats the random eigenvalue problems arising when the material property values of the structural systems are having stochastic fluctuations, i.e. the measurement errors can be accounted for when probabilistic modelling is used. The free vibration problem of a stochastic beam whose Young's modulus and mass density are distributed stochastically is considered. Using Galerkin's weighted residual procedure, a stochastic finite element method is developed and implemented to arrive at a random algebraic eigenvalue problem.