Article | REF: BM5028 V1

Practical approach of stochastic finite element method. Random variables

Author: Maurice LEMAIRE

Publication date: April 10, 2015

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3. Stochastic finite element methods

The preceding paragraphs have clarified the position of the problem, which is summarized as follows:

Given {X } a vector of random variables of dimension nva, a rigidity matrix K ({X }) and a vector of actions F ({X }), find the stochastic properties of the vector q ({X }) such that K ({X }) q ({X }) = F ({X }).

This section examines solutions using the perturbation method and polynomial chaos.

3.1 Perturbation method

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3.1.1 Taylor development

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Stochastic finite element methods