基于贝叶斯后验估计的桥梁动态称重算法理论与试验研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (1) : 20-27.

论文

张龙威1，2，原璐琪1，陈宁1，袁帅华1，张龙1

作者信息 +

Bridge weighing-in-motion algorithm theory based on Bayesian posterior estimation and tests

ZHANG Longwei1,2, YUAN Luqi1, CHEN Ning1, YUAN Shuaihua1, ZHANG Long1

Author information +

文章历史 +

摘要

桥梁动态称重（BWIM）利用过桥车辆对桥梁产生的动力响应快速识别车辆轴重。由于实测的动力响应包含测量误差，在一定程度降低了传统BWIM算法的轴重识别精度。为了解决这一问题，本文提出基于贝叶斯后验估计的桥梁动态称重算法。该算法考虑了测量误差对轴重识别精度的影响，假设测量误差和轴重服从高斯分布，利用测量误差的标准差和轴重标准差得到能抑制测量误差的约束因子，推导出新的轴重求解方程。基于数值仿真和实桥试验，分别得到传统BWIM算法和贝叶斯算法的轴重识别精度，并进行对比分析。试验结果表明：相比于传统BWIM算法，贝叶斯算法能够有效抑制测量误差的影响，明显改善轴重识别精度。

Abstract

The bridge weigh-in-motion (BWIM) can find axle weights from the measured response of the bridge acting by passing vehicles. However, since the measured response contains measurement errors, the accuracy of the traditional BWIM algorithm is reduced to a certain extent. To solve this problem, this paper proposes a novel BWIM algorithm based on Bayesian posterior estimation. The proposed algorithm considers the negative influence of measurement error on axle weight identification. Firstly, assume measurement error and axle weights both follow Gaussian distribution; Then, use the standard deviation of measurement error and axle weight standard deviation to obtain constraint factor which can restrain measurement error; Finally, the new solution equation of BWIM can be derived. In this paper, Bayesian algorithm is validated by numerical vehicle-bridge interaction model and in-situ test. The accuracy of Bayesian algorithm is compared to the results by the traditional BWIM algorithm. Results show that Bayesian algorithm can effectively suppress the effect of measurement error and improve the axle weight identification accuracy significantly.

导出引用

张龙威1，2，原璐琪1，陈宁1，袁帅华1，张龙1. 基于贝叶斯后验估计的桥梁动态称重算法理论与试验研究[J]. 振动与冲击, 2024, 43(1): 20-27

ZHANG Longwei1,2, YUAN Luqi1, CHEN Ning1, YUAN Shuaihua1, ZHANG Long1. Bridge weighing-in-motion algorithm theory based on Bayesian posterior estimation and tests[J]. Journal of Vibration and Shock, 2024, 43(1): 20-27

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