斜拉索无应力索长的快速算法

在确定斜拉索的无应力索长时,悬链线理论虽然可以精确地考虑斜拉索的非线性力学效应,但迭代计算繁琐,不便于工程应用;基于简化假设的E rnst等效弹性模量理论虽然计算简单,但对于长柔索的计算精度有所不足。本文基于悬链线理论,通过近似求解索张力的水平分力,避免多次迭代计算,即可高精度地快速确定无应力索长,可供工程设计和施工中使用。

Quick Calculation for Determination of Unstressed Cable Length of Inclined Stressed Cable

In determination of the unstressed cable length of inclined stressed cable,two methods are usually used.The first one,catenary method,can explicitly take the nonlinear property of cable into account and then obtain an accurate unstressed length.But essential iterative computation blocks it from wide engineering application.The second one,Ernst method recommended in Standards,can obtain an approximate result through easy computation.But large errors may arise in the case of long flexible cable.In this paper,a new non-iterative quick method with high accuracy is presented.On the basis of catenary method,it can directly calculate an approximate value of the horizontal component of cable force through reasonable simplification.Then the unstressed cable length can be quickly determined without iterations.Numerical results of all three methods show good engineering prospect of the new method.