钢混组合连续梁桥频率与影响线双目标模型修正试验研究

Experimental investigation on the correction of the dual-objective model for frequency and influence lines in steel-concrete composite continuous beam bridge

  • 摘要: 为突破静力或动力单指标参数对模型修正研究的局限性,提出一种基于频率与影响线双目标优化的桥梁模型修正方法,通过钢混组合连续梁桥试验进行了方法可行性与实用性验证。首先对桥梁在环境激励下进行模态测试,采用增强频域分解方法获取前三阶频率,再利用单辆重车怠速移动加载激励,测得中跨跨中截面挠度时程响应,结合变分模态分解与Tikhonov正则化剥离车致响应动力成分与车辆多轴效应,得到桥梁挠度影响线。利用频率与挠度影响线构造联合目标函数,选择合理待修参数构建PSO-BP代理模型并结合带精英策略的快速非支配排序遗传算法对有限元模型进行双目标修正,得到双目标优化问题下的 Pareto 协调最优解,并通过现场实测数据对修正后的模型进行精度验证。结果表明:修正后模型基频相对误差由17.6%降低至3.27%;挠度影响线整体相对误差由39.7%降低至16%,控制截面处峰值相对误差由41.1%降低至3.55%,故面向频率与影响线双目标优化的模型修正方法可以大幅提升修正后模型精度,更加贴近实际桥梁状态,为进一步开展精细模拟奠定基础。

     

    Abstract: To overcome the limitations of static or dynamic single-index parameter-based model updating methods, this study proposes a dual-objective optimization approach for bridge model updating based on frequency and influence line compatibility. The feasibility and practicality of the proposed method were validated through experiments on a steel-concrete composite continuous girder bridge. First, modal testing under ambient excitation was conducted, and the first three natural frequencies were obtained using the Enhanced Frequency Domain Decomposition method. Subsequently, a single heavy truck was employed for idle-speed moving load testing to measure the time-history response of mid-span deflection. The vehicle-induced dynamic components and multi-axle effects were separated from the static deflection influence line using Variational Mode Decomposition and Tikhonov regularization. A joint objective function was constructed using frequencies and deflection influence lines, and key updating parameters were selected to establish a PSO-BP surrogate model. The finite element model was then updated through dual-objective optimization using the Fast Non-Dominated Sorting Genetic Algorithm with elite strategy, yielding Pareto-optimal solutions. The updated model's accuracy was verified against field-measured data. Results demonstrate that the relative error of the fundamental frequency decreased from 17.6% to 3.27%, while the overall relative error of deflection influence lines reduced from 39.7% to 16%. Notably, the peak relative error at control sections improved from 41.1% to 3.55%. The proposed dual-objective optimization method significantly enhances model accuracy, better reflecting the actual bridge state and providing a reliable foundation for refined numerical simulations.

     

/

返回文章
返回