A Method to Calculate the Structure Reliability Based on the Design Point

摘要

A method for predicting structural reliability is developed. Based on first order second moment method, the method involves function decomposition at the design point that facilitates the univariate approximation of a general multivariate function. Based on quadratic approximations of the univariate component function in the direction of the design point, the mathematical Equations of the failure probability have been derived. The program of structure reliability analysis is developed according to the proposed method. Numerical results indicate that the proposed method provides accurate and computationally efficient estimates of the probability of failure, and provides an effective approach to the structure reliability analysis.