索结构形状确定的逆迭代法
- 摘 要
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(同济大学土木工程学院 上海 200092)
【提要】 阐述了逆迭代法的基本过程与原理,并将其运用于预应力索结构的一类形状确定问题。逆迭
代法不仅能确定索结构预应力初始态的预应力分布,而且能确定索结构零状态的几何。通过算例可看出此方法的精确性与广泛适用性。
【关键词】 逆迭代法 形状确定 索结构
Inverse Iteration Method in Formfinding of Cable Structures/Li Guoqiang,Shen Liyuan,Luo Yongfeng(College of Civil Engineering,Tongji University,Shanghai 200092,China)
Abstract:The principle of the inverse iteration method is stated and the method is applied to one kind of formfinding process.The method can determinate not only the stress distribution in prestress state but also the initial geometry of structure in initial state.Numerical examples show the high accuracy and the universality of this method.
Keywords:inverse iteration method; formfinding; cable structures