Perturbation-based stochastic finite element method using polynomial response function for the elastic beams

The main goal here is to show the implementation of the perturbation-based stochastic finite element method using the polynomial response function in static analysis of the elastic beams. The polynomial response functions reconstruction is based on a solution of the several deterministic problems in each nodal point of the mesh, where random parameter is modified each time accordingly around its mean value. The polynomial functions relating the global displacements vector components and this input parameter are quite efficient in further determination of the partial derivatives of the state functions with respect to this parameter and of probabilistic moments is relatively easy.