Novas metodologias de simulação do tipo Monte-Carlo via séries de Neumann aplicadas a problemas de flexão de placas

Abstract

Engineering is a very rich and wide field in problems. Even considering just structural engineering branch, the amount and variability of problems remains very large. The increase of computational capacity provided development of complex and robust methods to solve structural problems consi- dering uncertainty. Uncertainty may be due to material property randomness, support conditions and load. Many of stochastic methods are based on Monte-Carlo simulation, however Monte-Carlo direct method has high computation cost. Aiming the development of new methodologies for solving problems of the structures area, this thesis presents three new methodologies applied to plates stochastic bending problems, characterizing the scientific contribution of the thesis. These methodologies, named Monte Carlo-Neumann λ and Monte Carlo-Neumann, with quotas establishment, Monte Carlo-Neumann, with adjustment in limiting, Monte Carlo-Neumann, mixed 1 and Monte Carlo-Neumann, mixed 2, both based on Neumann series, were applied to stochastic problems of flexion of Kirchhoff plates on Winkler and Pasternak bases, considering uncertainty about plate stiffness and stiffness coefficient of the support base.