Seifedine Kadry  , Alaa Chateauneuf  , Khaled El-Tawil  , 
    Probabilistic Transformation Method in Reliability Analysis,
    Journal of Engineering and Applied Sciences,
    Volume 2,Issue 2,
    2007,
    Pages 319-330,
    ISSN 1816-949x,
    jeasci.2007.319.330,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2007.319.330)
    Abstract: In this study, a proposed technique is presented in order to evaluate the stochastic mechanical response. This technique is based on the combination of the probabilistic transformation methods and the deterministic Finite Element Method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system output by multiplying the input PDF by the Jacobean of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response -in closed form-, which is very helpful for reliability analysis.
    Keywords: Finite element method;method of the unit load;FORM;probabilistic methods;reliability analysis;sampling;sensitivity;simulation;transformation method