带弹性支撑杆张拉结构整体找形分析的动力松弛法

Dynamic Relaxation for Integer Form-Finding Analysis of Tension Structures with Elastic Supporting Bars

张拉结构与传统的钢、砼等刚性结构不同,是一种柔性的张力体系,其设计计算过程一般分为初始形状的确定(找形)—荷载分析—裁剪分析.传统的带弹性支撑杆的张拉结构如索网、索膜结构,在找形中往往忽略索网、索膜与弹性支撑杆的相互作用,本文在M ichael R.Barnes找形理论的基础上推导了张拉结构找形分析的动力松弛法的基本公式,同时充分考虑两者的相互作用,应用动力松弛法对这种结构进行整体找形分析,并通过算例验证了所提出方法的可靠性与适用性.

Tension structures, different from traditional rigid structures such as steel and concrete, are flexible tension systems, whose design and calculation process usually includes form-finding analysis, loading analysis and cutting pattern generation analysis. In the form-finding process of traditional tension structures supported by elastic bars, such as the cable-web structure and the cable-membrane structure, the interaction between the structure and the elastic supports is usually neglected. In the present study, basic form-finding formulae of dynamic relaxation method for the form-finding analysis of tension structures are deduced based on the form-finding theory proposed by Michael R. Barnes. Furthermore, considering the interaction of elastic supports and tension structures, a formfinding method for tension structures with elastic supports is developed. An example is finally presented to verify the reliability and applicability of the proposed method.