桥梁车辆荷载识别的贝叶斯方法研究
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U441+.2

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国家自然科学基金资助项目(51978155,52108274);住房和城乡建设部科学技术计划项目(2020-K-125);高速铁路建造技术国家工程实验室开放基金资助项目(HSR202003)


Research on Bayesian method for identifying the vehicle loads on the bridge
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    摘要:

    基于贝叶斯推理提出了一种可实现误差模式选择的桥梁车辆荷载识别方法。该方法通过静力影响线构建车辆荷载与实测响应的关系表达式,并建立修正曲面以消除动力效应造成的识别误差。引入与结构响应大小和车速相关的五种误差模式。根据假设的先验分布推导车辆轴重参数的后验分布,以获得车辆荷载的最优估计值和置信区间,并计算各误差模式的后验概率。分别采用简支梁数值算例和某连续梁桥动载试验,对该方法在不同车速工况下的识别精度和可靠性进行了验证。结果表明,修正曲面可以有效消除车辆动力冲击的影响,提高了荷载识别精度;荷载识别结果以置信区间形式呈现,可量化荷载识别结果的不确定性;贝叶斯方法能够识别出最佳误差模式,进一步提升了荷载识别的鲁棒性。

    Abstract:

    A novel method is proposed for identifying vehicle loads on bridges and selecting the error pattern based on Bayesian inference. Initially, the expression of the relationship between the vehicle loads and the measured responses is constructed using the static influence line. The modified coefficient surface is then established to eliminate the identification error caused by the dynamic effects. Afterwards, five error modes related to the structural responses and vehicle speed are introduced. According to the assumed prior distribution, the posterior distribution of vehicle axle loads is derived. On that basis, the optimal estimated value and confidence interval of vehicle loads can be obtained. Furthermore, the posterior probability of each error mode is calculated. Finally, the identification accuracy and reliability of the proposed method for scenarios under different vehicle speeds are validated by the numerical example of simply supported beam and the dynamic load test of a continuous beam bridge. The results show that the modified coefficient surface can effectively eliminate the vehicle dynamic impact and improve the accuracy of vehicle load identification. The result of vehicle load identification is presented in the form of confidence interval to quantify the uncertainty. Bayesian method can identify the optimal error pattern, which further improves the robustness of load identification.

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茅建校,庞振浩,王 浩,王飞球.桥梁车辆荷载识别的贝叶斯方法研究[J].振动工程学报,2023,36(2):467~476.[MAO Jian?xiao, PANG Zhen?hao, WANG Hao, WANG Fei?qiu. Research on Bayesian method for identifying the vehicle loads on the bridge[J]. Journal of Vibration Engineering,2023,36(2):467~476.]

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  • 在线发布日期: 2023-05-11
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