Abstract This paper presents a form-finding method for cable-strut structures with given cable forces and strut lengths. The topology of the structure, the internal force distribution of cables and the rest length of struts are given in advance. A total potential energy function in terms of nodal coordinates is derived according to the initial conditions. The equilibrium configuration satisfying the given initial conditions is essentially a stationary point of the energy function. An intermediate function is proposed and used to solve the stationary point problem. A configuration expected by the designer can be obtained when proper initial nodal coordinates are used. The effectiveness and practicability of the proposed method are verified by two typical examples.

中文翻译：

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给定索力和支柱长度的索-支柱结构找形

摘要 本文提出了一种给定索力和支柱长度的索-支柱结构找形方法。预先给出了结构的拓扑结构、索的内力分布和支柱的剩余长度。根据初始条件导出在节点坐标方面的总势能函数。满足给定初始条件的平衡构型本质上是能量函数的一个驻点。提出了一个中间函数并用于解决驻点问题。当使用适当的初始节点坐标时，可以获得设计者期望的配置。通过两个典型实例验证了所提方法的有效性和实用性。