基于EF-U混合学习函数的自适应克里金蒙特卡罗方法OA
Improved AK-MCS method based on EF-U hybrid learning function
在结构可靠性分析中,代理模型方法一直致力于减少函数或数值模型调用次数和提升计算效率,以降低计算成本,因此高效的学习函数具有重要意义.基于失效概率误差和函数值符号精度,本文提出一种EF-U混合学习函数方法.在模型更新点选择阶段,初始采用EF学习函数以保证失效概率的总体预测精度,当满足特定转换准则时,转为U学习函数进行局部优化,以提高收敛速度.进一步地,将混合学习函数与数论抽样方法、基于误差的终止准则相结合,构建改进的自适应克里金蒙特卡罗方法.最后通过对4个算例的分析,结果表明,该算法相比于其他方法,实际函数调用次数减少比例为2.85%至16.60%,失效误差最高降低30.17%,并且具有更好的稳健性.本文研究结果可提升多失效域、非线性及中等维度等问题的求解效率,同时保证计算精度.
In structural reliability analysis,surrogate model methods aim to reduce the number of function or nu-merical model calls and lower computational cost.Effective learning functions play a crucial role in the active learn-ing process.Based on failure probability error and the sign accuracy of function values,a hybrid EF-U learning function method was proposed.During the model updating phase,the EF learning function was initially used to en-sure the overall prediction accuracy of the failure probability.When a specific transformation criterion was satis-fied,the learning function was switched to the U learning function for local refinement to improve convergence speed.Furthermore,by combining the hybrid learning function with the good lattice point sampling method and error-based stopping criteria,an improved adaptive Kriging-Monte Carlo simulation method was constructed for structural reliability analysis.Finally,the performance of the proposed method was validated through four ex-amples.The results indicate that compared with other methods,the proposed algorithm reduces the number of ac-tual function calls by 2.85%to 16.60%,decreases the failure probability error by up to 30.17%,and demon-strates better robustness.For problems with multiple failure domains,nonlinearity,and moderate dimensions,the method delivers improved computational efficiency without compromising accuracy.
肖遂连;李洪双;李维
南京航空航天大学 航空学院,江苏 南京 210016南京航空航天大学 航空学院,江苏 南京 210016南京航空航天大学 航空学院,江苏 南京 210016
通用工业技术
结构可靠性分析Kriging模型自适应Kriging主动学习晶格点抽样方法U学习函数EF学习函数收敛准则
structural reliability analysisKriging modeladaptive Krigingactive learninggood lattice point methodU learning functionEF learning functionconvergence criterion
《哈尔滨工程大学学报》 2026 (6)
1183-1192,1224,11
国家自然科学基金项目(52372429).
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