一种自锚式悬索桥主缆线形的解析法

在传统的地锚式悬索桥主缆线形方程的基础上，引入了自锚式悬索桥主缆、加劲梁和索塔的变形协调方程，得到一种自锚式悬索桥主缆线形的解析方法：该方法可以在不进行有限元分析的情况下，仅给出自锚式悬索桥的跨度、矢跨比以及主缆、加劲梁和索塔的截面属性，通过求解主缆线形方程和变形协调方程所组成的方程组，就能够求出主缆的初始线形和成桥线形、主缆的无应力长度、索鞍偏移量。该方法简单、准确、高效，已经成功地应用在金华康济桥的施工监控中，建成后主缆的成桥线形与设计线形非常接近，最大误差只有27mm，由于该方法能方便而快速地计算出索鞍的偏移量和主缆线形，对优化自锚式悬索桥边跨与主跨的比例提供了一种高效的算法。

An Analytical Method for Main Cable Configuration of Self-anchored Suspension Bridges

Based on cable configuration equations of traditional earth-anchored suspension bridges, deformation compatible equations of main cables, of stiffening girders and pylons were presnted, which brought about an analytical method for main cable configuration of self anchored suspension bridges. In this method, finite element method analysis was not necessary, with predefining spans, sags, properties of cables, characters of stiffening girders and pylons, cable configuration equations and deformation compatible equations of stiffening girders and pylons formed solvable equations. Initial and final configuration of the cables, unstressed cable length, saddle displacement could be. obtained by solving these equations.This method is elegant, accurate and efficient, and it was successfully used in the construction control of Jinhua Kangji Bridge.The final configuration of the bridge is very close to the design, namely the maximum error is no more than 27 tara. For its high accuracy and efficiency in solving saddle displacement and cable configuration etc., an effective method was provided to optimize, structures of self-anchored suspension bridges, especially to optimize the ratio of side spans to main spans.