TY  - JOUR
T1  - Probabilistic Transformation Method in Reliability Analysis
AU - , Seifedine Kadry AU - , Alaa Chateauneuf AU - , Khaled El-Tawil 
JO  - Journal of Engineering and Applied Sciences
VL  - 2
IS  - 2
SP  - 319
EP  - 330
PY  - 2007
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2007.319.330
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2007.319.330
KW  - Finite element method
KW  -method of the unit load
KW  -FORM
KW  -probabilistic methods
KW  -reliability analysis
KW  -sampling
KW  -sensitivity
KW  -simulation
KW  -transformation method
AB  - 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.
ER  -