机械科学与技术2025，Vol.44Issue(6)：947-955,9.DOI:10.13433/j.cnki.1003-8728.20230256
结合对称KL距离的区间模型修正
Interval Model Updating Combining Symmetric KL Divergence
摘要
Abstract
To solve the problem of model updating error caused by the uncertainty of structural parameters and test data,and considering the influence of boundary conditions on structural response,an interval model updating method combining the symmetric Kullback-Leibler(KL)divergence is proposed.Firstly,the coefficients of Kriging model are optimized by the Latin hypercube sampling method and particle swarm optimization algorithm to construct the Kriging model.Then,the symmetric KL divergence is introduced to construct the objective function,and the midpoint and radius of the interval of structural parameters are updated synchronously by the optimization algorithm.The grey mathematics method is used to estimate response interval that the Kriging model predicted in iterative process.Finally,the cylinder flange connection model and the rocker arm link rod structure are used respectively to verify the proposed method.The results show that the finite element model updated by the proposed method is in better agreement with the actual structure than that updated by the method of solving the midpoint and radius of the parameter interval in steps.关键词
不确定性模型修正/区间分析/对称KL距离/Kriging模型/边界条件Key words
uncertainty model updating/interval analysis/symmetric KL divergence/Kriging model/boundary condition分类
数理科学引用本文复制引用
王一航,彭珍瑞..结合对称KL距离的区间模型修正[J].机械科学与技术,2025,44(6):947-955,9.基金项目
国家自然科学基金项目(51768035) （51768035）
