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大跨悬索桥主缆非对称热位移比例律研究

Proportional Law of Asymmetric Thermal Displacement of Main Cables in Long-Span Suspension Bridges

  • 摘要: 为揭示大跨度悬索桥主缆热位移的空间分布特征,并提高四分跨等非对称监测截面热响应提取的可靠性,本文依托某1688 m级地锚式悬索桥结构健康监测系统,建立了主缆热位移解析模型,并结合长期实测数据进行验证。针对日间温度梯度和随机荷载对热响应分析的干扰,选取日出前4:00~6:00准静稳态监测数据,建立主缆竖向位移与有效温度之间的线性映射关系,回归判定系数为0.93。基于主缆近似二次抛物线构型,推导得到四分跨与跨中竖向热位移的理论比值为0.75;实测拟合比值为0.73,与理论值较为接近。实测热响应灵敏度较理论值偏小约10%,但两截面的等效折减系数接近,说明桥塔、加劲梁及吊索等约束刚度主要影响热位移绝对幅值,而归一化空间分布在本文桥梁及监测条件下仍主要受几何线形控制。进一步分析表明,在50 °C温差算例下,主缆纵向热伸缩引起的测点偏移对竖向位移提取的影响较小,一阶线性投影误差率约为0.04%。研究结果可为类似大跨度地锚式悬索桥主缆热位移估算、非对称截面线形监测及环境效应分离提供参考。

     

    Abstract: To reveal the spatial distribution characteristics of main-cable thermal deformation in long-span suspension bridges and to improve the reliability of thermal-response extraction at asymmetric monitoring sections, this study establishes an analytical model of main-cable thermal displacement based on the structural health monitoring system of a 1688 m-class anchored suspension bridge and validates it using long-term measurements. To reduce the interference of daytime temperature gradients and random traffic loads, quasi-static data collected before sunrise from 4:00 to 6:00 were selected, and a linear mapping between vertical displacement and effective temperature was obtained with a coefficient of determination of 0.93. Based on the parabolic configuration of the main cable, the theoretical vertical-displacement ratio between the quarter-span and mid-span sections is derived as 0.75; the measured ratio is 0.73, which is close to the theoretical value. Although the measured thermal sensitivity is about 10% lower than the analytical prediction, the equivalent reduction coefficients at the two sections are similar, indicating that tower, stiffening-girder and hanger constraints mainly reduce the absolute displacement amplitude, whereas the normalized spatial distribution is still governed primarily by the cable geometry under the examined conditions. A projection analysis further shows that, for a 50 °C temperature-difference case, the first-order linear projection error caused by longitudinal thermal movement is approximately 0.04%, and therefore has little influence on vertical-displacement extraction. The results provide a reference for thermal-displacement estimation, asymmetric-section shape monitoring and environmental-effect separation in similar long-span anchored suspension bridges.

     

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