自锚式悬索桥的主缆线形计算方法研究

介绍了基于分段悬链线法和抛物线法的自锚式悬索桥主缆线形计算的原理和步骤，合理考虑弯矩对加劲梁轴向刚度的影响，并创造性提出了采用非线性规划方法进行迭代计算，计算结果与传统的影响矩阵法吻合一致。典型跨度自锚式悬索桥主缆线形的计算结果表明，抛物线法对成桥恒载状态的计算误差很小，一般可满足工程设计和施工的精度要求，但空缆吊点坐标和索鞍预偏量的结果误差很大。针对不同矢跨比、跨度、边中跨比和主缆应力安全系数的自锚式悬索桥，采用抛物线法进行了主缆线形的误差分析，得出了一些有益的规律和结论。

Calculation and Error Analysis of Configuration of Main Cable for Self-Anchored Suspension Bridge

Based on method of segmental catenaries and parabola, theory and process of main cable’s configuration calculation for self-anchored suspension bridge are introduced. During the progress, flexural effect on beam’s axial rigidity was considered and iteration method of non-linear programming was put forward. Study shows that results of non-linear programming method and influence matrix method are uniform. It can be deduced from the calculation results of self-anchored suspension bridge with typical span that calculation error of cable configuration of completed bridge, by means of parabola, are small and can satisfy with the need of engineering design and construction, but those of free cable configuration are prodigious. Furthermore, according to those self-anchored suspension bridges with different ratio of rise to span, main span, ratio of side span to midspan and stress safe coefficient of main cable, error analysis of main cable’s configuration are proceeded by means of parabola and some useful rules and conclusions are obtained.