معصومه خسروي

Reliability analysis of structures without spending too much computational cost is still a challenge. Structural reliability analysis investigates the effects of uncertainty on the behavior of structures. Such effects exist in the real world, in loading, material and geometry of structures [1], [2]. Thus, reliability is a realistic approach for the analysis of a structure. The basic problem in structural reliability analysis is to eva‎luate the probability of failure of structures in the presence of uncertainty [3], [4]. The probability of failure, denoted by Pf, is the answer of the following multi-dimensional integral in which functions f and g are joint probability density function (JPDF) and limit state function (LSF), respectively. The vector X includes n random variables as X = [X1,X2,…,Xn]T, and g(X) < 0 defines failure domain. However, for many practical structures, numerical eva‎luation of Eq. (1) is intensively difficult, if not impossible. In such circumstances, approximation methods [5], [6], [7] and simulation methods [8], [9] have been greatly developed as the alternatives for estimating the probability of failure. I am supposed to compare different method of simulation and suggest methods to reduce computational cost in my thesis.

قابليت اعتماد

reliability

masumeh khosravi

mohsenali shayanfar