RELIABILITY ENGINEERING ADVANCES, ss.205-232, 2009 (Hakemli Dergi)
Approximation methods such as the response surface and kriging are widely used to alleviate the computational burden of engineering analyses. In reliability analysis, however, additional burdens can be brought on since it requires using iterative numerical methods or more costly simulation methods to estimate the probability of failure of the mechanical components/systems. Therefore, using one of the approximation methods for real engineering applications is inevitable, by which a metamodel is used in place of a time consuming analysis. Therefore this chapter begins with the review of the most widely used approximation techniques. However, it should be noted that the approximation methods developed specifically for deterministic analyses are not always suited to the reliability analysis since some points such as approximating the limit state function around the design point better than other regions, using criteria to assess the goodness of the metamodel, etc. must be considered to better estimate the probability of failure. Therefore some points are suggested in this chapter in order to improve the existing approximation methods.