不规则三杆张拉整体结构的找形

Form-finding of irregular three-bar tensegrity structures

为了获得不规则形态的张拉整体结构,本文提出了一种确定稳定构型的思路,即基于规则张拉整体结构在大部分构件长度不变的条件下,在一定范围内改变其个别构件长度,稳定状态时这些构件的长度最小。通过规则张拉整体结构单元稳定条件分析、非规则三杆张拉整体结构的稳定构型分析、求解思路分析几个方面的研究,获得了具体的构型方法,并通过具体数值求解、仿真分析和搭建实物模型等手段对此方法的正确性进行了验证,证明此方法求得的结构稳态数值的精度较高。为张拉整体结构基于构件变化的找形及机构化分析提供了一种思路。

To get a tensegrity structure with irregular form,we propose a new idea to determine the stable configuration.It is based on a regular tensegrity structure,under the condition that most of the members’length is unchanged,with the length of few members changing in a certain range and the length of these members minimized in the stable state.By analyses of stability conditions of regular tensegrity structure elements,stable configuration of irregular three-bar tensegrity structure,and solution ideas,a specific configuration method is obtained,and the correctness of the method is verified by numerical solution,simulation analysis and building a real model.It is proved that the steady-state value obtained by this method has higher precision,providing a new idea for shape finding and mechanism analysis of tensegrity structures based on component changes.