Advances and Applications in Mechanical Engineering and TechnologyAuthor's: S. Ouhimmou, A. El hami, R. Ellaia and M. Tkiouat
Pages: [109] - [131]
Received Date: February 19, 2010
Submitted by:
This paper deals with a combination between reliability program and finite element analysis software used to evaluate statistical characteristic of the response of the mechanical structure. The probabilistic transformation method (PTM) is an efficient reliability method to solve problems of mechanical systems with uncertain parameters. This method is readily applicable in the case, where the expression between input and output of structures are available in explicit analytical form. However, the situation is much more involved, when it is necessary to perform the evaluation of implicit expression between input and output of structures through numerical models. In this paper, we propose technique that combines finite element analysis (FEA), and probabilistic transformation method (PTM) to evaluate the probability density function (PDF) of response, where the expression between input and output of structures is implicit. This technique is based on the numerical simulations of the finite element analysis (FEA) and the probabilistic transformation method (PTM) by making an interface between finite element software and Matlab. Some problems of structures are treated in order to demonstrate the applicability of the proposed technique.
finite element analysis, finite element software, Matlab, probabilistic transformation method, reliability methods, structures.
