Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2008.4198.4203KadryS.122008822In this study, an efficient method is proposed, which
we called (TRBDO), to evaluate the probability of failure in closed-form.
This method is based on the Function of random variables or transformation
together with the finite element method to obtain the Probability Density
Function (PDF) using the random variable transformation between the input
random variables and the output variable. Once the PDF is evaluated the
calculation of the probability of failure P_{f} is straight forward.
To proof the accuracy of the proposed method, the result is compared with
Monte Carlo simulation. The efficiency of presented methodology is demonstrated
on the design of a 6-bar truss.]]>Ditlevsen, O. and H. Madsen,2005Moses, F., E. Aktas and M. Ghosn,2001Ang, A.H.S and W.H. Tang,2006Frangopol, D.M. and F. Moses,1994Youn, B.D. and K.K. Choi,2004Madsen, H.O., S. Krenk and N.C. Lind,2006Hasofer, A.M. and N.C. Lind,1974Gheng, G., G. Li and Y. Cai,1998Royset, J.O., A. Der Kiureghian and E. Polak,2001Tu, J., K.K. Choi and Y.H. Park,1999Kharmanda, G., A. Mohamed and M. Lemaire,2002Soong, T.,1973