基于加权Kendall相关系数和序贯代理模型的有限元模型修正

为了提高桥梁结构有限元模型修正的效率和效果,提出基于加权Kendall相关系数和序贯代理模型的有限元模型修正方法.首先,建立基于目标响应误差和待修正设计参数灵敏度的加权Kendall相关系数指标,并采用凝聚层次聚类算法,合理确定待修正设计参数的数量和位置,保证待修正设计参数对目标响应具有合适的解耦能力;其次,为解决传统...

FEM Updating Based on Weighted Kendall Correlation Coefficient and Sequential Surrogate Model

To improve the efficiency and effect of the finite-element-model updating of bridge structures, a new method based on the weighted Kendall correlation coefficient and sequential surrogate model is proposed. Firstly, a weighted Kendall correlation coefficient index based on the target response error and the sensitivity of the design parameters to be modified was established, based on which the number and location of the design parameters were reasonably determined using the hierarchical clustering algorithm, ensuring that the selected parameters have proper decoupling ability to the target response. Secondly, the sequential surrogate model method based on the FLOLA-Voronoi general sequential design strategy was adopted to solve the problem of under sampling or oversampling in the process of constructing the surrogate model, which improves the utilization of experimental samples and the efficiency of model updating. Finally, the feasibility of the proposed method was validated through the model updating of a cable-stayed bridge. The results indicate that the sequential surrogate model based on the FLOLA-Voronoi algorithm can reasonably determine the number and location of samples, and the sequential surrogate model obtains slightly more precise result than the one-time surrogate model. With introducing the weighted Kendall correlation coefficient and hierarchical clustering algorithm, more proper updating parameters with appropriate decoupling capabilities can be obtained, thereby significantly decreasing the large error target response and maintaining the small error target response in a reasonable range, based on which the overall error of the target response are effectively reduced. For the utilized bridge, the average differences of the theoretical and measured static and dynamic responses between finite element model and real bridge decrease from 5.56% and 8.43% to 2.08% and 3.26%, respectively. Compared with the traditional method, the proposed method obtains better model updating results, indicating that the proposed method can be used to update the finite element model of the bridge structure and obtain an accurate numerical model.