APPLICATION OF THE A NEUMANN-MONTE CARLO METHODOLOGY FOR QUANTIFICATION OF THE UNCERTAINTY OF THE PROBLEM OF STOCHASTIC BENDING OF KIRCHHOFF PLATES

摘要

This paper proposes to apply the lambda Neumann-Monte Carlo method to obtain the estimates of the statistical moments of the solution for stationary Kirchhoff plate bending problems, with uncertainty about the mechanical and material properties associated with plate stiffness. The approximate solutions represent the stochastic displacement processes. For uncertainty modeling, parameterized stochastic processes will be used. The consistency of the approximate solutions will be based on studies on the existence and uniqueness of the theoretical solutions to this problem. The uncertainty will be quantified by estimating the statistical moments of the stochastic transverse displacement processes. The Monte Carlo simulation method is used to evaluate the performance of the proposed methodology.