We propose a practical and fast finite element (FE) model updating method in which the response surface method and fmincon algorithm (FA) are used to modify the FE model of a new, improved box girder bridge with corrugated steel webs. Two three-dimensional FE bridge design models were compared to develop a reasonable initial FE model for updating this bridge. The response surface method (RSM) was used in our method for the optimal experimental design of the updated parameters, which were used as the basis of the numerical analyses performed to obtain the explicit relationships between the structural responses from the FE results and the parameters themselves. A comparison of the two optimisation methods — genetic algorithm and FA — revealed that FA provides more stable optimised results with higher efficiency. Using FA, parameters can be updated by minimising an objective function, which is constructed from residuals between measured and predicted structural responses using the expressed relationships. A numerical example of a simply supported composite girder was discussed to illustrate the effectiveness of our procedure. The method was applied to the FE model updating of the Jingzhong Bridge using in situ static and dynamic results; satisfactory agreement was observed between measured and predicted bridge responses.

我们提出了一种实用且快速的有限元（FE）模型更新方法，其中使用响应面方法和fmincon算法（FA）来修改新型改进的波纹钢腹板箱梁桥的有限元模型。比较了两个三维有限元桥梁设计模型，以开发合理的初始有限元模型来更新此桥梁。在我们的方法中，使用响应面法（RSM）进行了更新参数的最佳实验设计，这被用作进行数值分析的基础，从而获得了有限元结果与参数本身之间的显式关系。 。两种优化方法（遗传算法和FA）的比较表明，FA提供了更稳定，效率更高的优化结果。使用FA，可以通过最小化目标函数来更新参数，该目标函数是使用表示的关系从测量的和预测的结构响应之间的残差构造的。讨论了一个简单支撑的组合梁的数值示例，以说明我们程序的有效性。将该方法应用于静中桥静力和动力结果的有限元模型更新。在实测和预测的桥梁响应之间观察到令人满意的一致性。将该方法应用于静中桥静力和动力结果的有限元模型更新。在实测和预测的桥梁响应之间观察到令人满意的一致性。将该方法应用于静中桥静力和动力结果的有限元模型更新。在实测和预测的桥梁响应之间观察到令人满意的一致性。