基于Kriging模型梯度解析解的改进一次二阶矩方法

doi:10.7527/S1000-6893.2018.22629

Abstract

Abstract: The Advanced First Order and Second Moment (AFOSM) method is a structural reliability analysis method based on the gradient information of performance function. Since the gradient information of the implicit function is difficult to solve, an AFOSM method based on the gradient analytical solution of Kriging surrogate model is proposed, using the analytical expression of Kriging surrogate model to obtain gradient information of the performance function with respect to input variables, and providing a high-precision gradient information for the computation of the design point in the AFOSM method. By combining Kriging and AFOSM, the problem of gradient calculation and reliability analysis in the implicit situation based on the finite element model can be better solved. Numerical and engineering examples are introduced to verify the high precision of the proposed gradient solution based on Kriging; besides, the accuracy and precision of the proposed Kriging analytical solution based AFOSM reliability analysis method are also verified.

Key words: structural reliability, Kriging surrogate model, gradient analytical solution, advanced first order and second moment, probability density

CLC Number:

V19
TB114.3

LI Baoyu, ZHANG Leigang, QIU Qunhai, YU Xiongqing. An advanced first order and second moment method based on gradient analytical solution of Kriging surrogate model[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(5): 222629-222629.

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An advanced first order and second moment method based on gradient analytical solution of Kriging surrogate model

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