Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
APPLYING THE MONTE CARLO λ-NEUMANN MODEL TO STOCHASTIC REACTION-DIFFUSION PROBLEMS
Submission Author:
Roberto Mauro Felix Squarcio , PR , Brazil
Co-Authors:
Roberto Mauro Felix Squarcio
Presenter: Roberto Mauro Felix Squarcio
doi://10.26678/ABCM.COBEM2017.COB17-2894
Abstract
This paper studies and proposes new methodologies and numerical strategies for numerically uncertainty quantification in structural problems. In general, the reliability of a system consists on the capacity of attending the required function of a project, under certain conditions, for a period. Furthermore, in quantitative terms, it is the probability of a system presenting a successful performance. Therefore, many authors use Monte Carlo simulation, which is a robust technique, but demands high computational costs. That are prohibitive insome cases. Recently papers have proposed methodologies based on Neumann series, which have been considered satisfactory for the proposed problems. Neumann series is important when it is necessary to find the inverse global stiffness matrix. Computational costs of this inversion are minimized without compromising results accuracy, comparing to other studied models.
Keywords
Numerical Methods, Stochastic Computations, Monte Carlo method, Neumann Expansions
