带短外伸跨悬索桥待合龙状态主梁位姿解析计算

ANALYTICAL ANALYSIS OF MAIN BEAM POSITIONING AND POSTURE FOR SUSPESION BRIDGES WITH SHORT EXTENDED SPANS IN THE SPLICING COSTRUCTION STATE

  • 摘要: 针对带外伸跨悬索桥加劲梁的待合龙施工状态,提出了一种考虑多铰接点影响的主梁线形与内力解析方法。该方法以成桥状态设计参数为基础,对主缆、主梁和吊杆进行力学与变形分析,基于无应力长度守恒原理及力–变形协调条件建立控制方程组,并采用非线性GRG方法进行求解,可精确获得待合龙状态主跨主梁线形以及外伸跨合龙口的坐标与倾角。进一步开展参数敏感性分析,系统研究了主梁弹性模量、惯性矩及延米自重参数变化对合龙口位姿的影响规律。结果表明:在所考虑的参数变化范围内,合龙口位姿随参数变化呈近似线性关系,其中倾角对单位长度自重最为敏感,而惯性矩对应力水平具有显著影响。研究成果可为悬索桥施工阶段合龙口位姿的精细化计算与高精度施工控制提供理论依据和技术支撑。

     

    Abstract: An analytical method is proposed to evaluate the girder profile and internal forces in the splicing construction state of suspension bridges with short extended spans, explicitly accounting for the effects of hinged joints. Based on the design parameters of the completed bridge, mechanical and deformation analyses of the main cable, girder, and hanger are performed, and governing equations are established from unstrained length conservation and force–deformation compatibility. The equations are solved using the nonlinear GRG algorithm to obtain the main-span girder profile and the coordinates and inclination angle at the closure segment in the splicing construction state. Parametric sensitivity analyses are further conducted to examine the effects of variations in the girder elastic modulus, moment of inertia, and unit self-weight. The results show that the positioning and posture vary approximately linearly with parameters, with the inclination angle being most sensitive to unit self-weight and the moment of inertia having a significant influence on stress. The proposed method provides an efficient tool for refined closure-segment calculation and high-precision construction control of suspension bridges.

     

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