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索和撑杆组成的张拉集成体系，膜结构及悬索体系，一般都要施加预应力使其成为能承受荷载的几何不变体系，整体受力表现为几何非线性。本文将其受力状态分解为两部分，一是几何稳定平衡状态，二是弹性稳定平衡状态。文中提出几何稳定平衡状态的分析计算方法，证明增量迭代法的收敛性。结果表明，所提出的方法收敛快，精度高。
The tension and tension system consisting of cables and struts, the membrane structure and the suspension cable system, generally have to be prestressed to make them geometrically invariable systems capable of withstanding loads, and the overall force acting as a geometric nonlinearity. This paper decomposes its stress state into two parts: one is the geometrically stable equilibrium state, and the other is the elastic stable equilibrium state. In this paper, the analysis and calculation method of geometrically stable equilibrium state is presented, and the convergence of incremental iteration method is proved. The results show that the proposed method converges quickly and has high precision.