The Inverse of Transformation Method in Stochastic Mechanical Structure (original) (raw)

In this paper, a proposed technique for the inverse of the transformation method is presented. The direct transformation technique, recently developed by the authors [9], evaluateSeptember 16, 2007s the probability density function (p.d.f) -in closed form-of the response (i.e. displacement) of stochastic mechanical system; where the probability density function of the input (i.e. Young's modulus, load…) is known. The inverse technique, presented in this article, uses the direct transformation method but instead of evaluating the p.d.f of the response, we evaluate the p.d.f of the input by supposing the p.d.f of the output. This method is very powerful in probabilistic analysis of a stochastic structure and for the industry during the statistical analysis and design process of a new system.

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