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拉索的静力状态由索形、索张力和无应力索长等多个参数共同表示。在结构分析和实际施工中,经常需要在已知索张力或无应力索长等部分参数时,完全确定拉索的静力状态。对比讨论了拉索静力计算的三种常用理论(悬链线索形理论、抛物线索形理论和Ernst简化理论),归纳总结了后两者相对于悬链线索形理论的近似前提。由基于悬链线理论的精确解出发,通过引入高阶近似,推导得到两种不同情况下的高精度的水平分力无迭代计算公式,继而直接确定拉索静力状态的所有参数。以珠江黄埔大桥斜拉桥工程为例,对比了不同方法的计算结果,验证了该文方法的优越性。
The static state of the cable is represented by multiple parameters such as cable shape, cable tension and stress-free cable length. In structural analysis and actual construction, it is often necessary to completely determine the static state of the cable when it is known that there are some parameters such as cable tension or cable length without stress. Three commonly used theories of cofferdam calculation (catenary clump theory, parabolic clunk theory and Ernst simplification theory) are compared and the approximate preconditions of the latter two relative to catenary clumping theory are summarized. Based on the exact solution based on the catenary theory, by introducing high-order approximation, we derive the non-iterative formula of high-precision horizontal component under two different conditions, and then directly determine all the parameters of the static state of the cable. Taking Zhujiang Huangpu Bridge cable-stayed bridge project as an example, the calculation results of different methods are compared and the superiority of the method is verified.