No abstract

Response surface method(RSM) is one of the effective methods to solve the reliability problem of implicit structure. In this paper, a new weighting method is proposed based on the response surface method to solve the nonlinear problem. The weighted design method is used to determine the design point of the response surface, a certain number of sample points are obtained through iteration, and then the least square method is used to solve the experimental points, thus obtaining the reliability index. The results of calculation examples show that the proposed method can reduce the sampling point range while ensuring the accuracy of calculation, effectively improve the efficiency of the reliability index, and provide a reasonable and effective method for the reliability analysis of the implicit limit state.