悬索桥加劲梁吊装期主缆的多刚度效应研究

RESEARCH ON MAIN CABLE MULTI-STIFFNESS EFFECT OF SUSPENSION BRIDGES DURING STIFFENING GIRDER HOISTING CONSTRUCTION

  • 摘要: 为研究悬索桥加劲梁吊装期由主缆弹性、柔性、二次弯曲、索夹约束等引起的非线性多重耦合刚度效应,以主缆构造上的精确割线几何线形为分析对象,在已有各单一特性的研究基础上,提出一种能够联合施工物理机制和经典解析理论考虑多重耦合刚度效应的组合弹簧解析模型。以主跨1038 m的某单跨悬索桥实例为背景,采用传统悬链线、梁有限单元法和本文解析法分别模拟吊装期主缆行为,研究多刚度效应对主缆内力和线形的影响规律,及其在不同二次弯曲刚度特征系数及加劲梁吊装顺序下的变化特点。结果表明:在吊装早期,由多刚度效应引起的主缆线形、轴力误差较为明显且变化剧烈,在中后期随施工进行逐渐减小并趋于平稳;在分布上,多刚度效应的各阶段最大值均出现在新加载点位处,引起的吊装期线形最大正差和最大负差分别近似位于1/4跨和1/2跨度处;常规梁单元和索单元有限元法的最大相对误差均发生在吊装施工的前、后期。多刚度效应随二次弯曲刚度特征系数的增加而增大,且在采用从塔侧朝跨中的吊装顺序时更为显著。该方法和结论可为悬索桥施工设计及监控提供参考。

     

    Abstract: To study the nonlinear multi-coupling stiffness effect introduced from the elasticity, flexibility, secondary bending, and clamp constraint of the main cable of suspension bridges during the stiffening girder hoisting construction, taking the precise secant geometry shape of the main cable structure as the analysis object, this paper establishes a composite spring analytical model considering the multi-coupling stiffness effect, based on the constructional physical mechanism and classic analytical theories, which are based on the existing research on each single characteristic. A suspension bridge example with the single main span of 1038 m is introduced as a case. The traditional catenary, beam finite element methods and the proposed method are used to simulate the main cable behaviors during hoisting construction, respectively, in order to investigate the influence laws of the multi-stiffness effect on the main cable internal force and shape, and its variation characteristics under different secondary bending feature coefficients and stiffening girder hoisting sequences. The results show that, in the early hoisting stage, the main cable shape and axial force errors induced by the multi-stiffness effect are more obvious and vary dramatically, and are gradually reduced until being stable in the middle-later stage as the hoisting goes on. For the distribution, the maximal multi-stiffness effect of each stage occurs right at the new loading points, and the maximal positive and negative shape errors during the hoisting construction are basically located at 1/4 span and 1/2 span of the main cable, respectively. The maximum relative error from the conventional beam element and cable element finite element methods both occur at the earlier and later stages of the hoisting construction. The effect increases as the secondary bending feature coefficient increases, and can be more evident when adopting the stiffening girder hoisting sequence from pylon to mid-span. This method and results can provide references for the construction design and monitoring of suspension bridges.

     

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