索穹顶结构分析中 ,由于自重影响 ,常用单元已不能满足工程精度要求。本文考虑应变高阶量的影响 ,给出考虑自重作用下有初始垂度的多结点 (4结点以上 )非线性空间曲线元的形函数和大位移非线性几何方程。编制了相应计算程序。数值算例验证了公式、方法的正确性 ,且数值解精度高 Cable dome analysis, due to self-weight, commonly used units can not meet the requirements of engineering accuracy. In this paper, we consider the influence of high-order strain and give the shape function and large displacement nonlinear geometric equation of multi-node (above 4-node) nonlinear space curve with initial dip under self-weight. Compiled the corresponding calculation procedures. Numerical examples verify the correctness of the formulas and methods, and the numerical solution has high precision