On mobile assemblies of Bennett linkages
On mobile assemblies of Bennett linkages
复制标题
DOI：
10.1098/rspa.2007.0188
复制
发表时间：
2008-05
期刊：
影响因子：
--
通讯作者：
Yan Chen;Zhong You
中科院分区：
文献类型：
--
作者：
Yan Chen;Zhong You
本文研究了由互连班尼特机构组成的可展结构。通过考虑可能包含具有负长度的部分的链接，已经发现了允许班尼特连杆的移动的组件被构建的总共八种情况。在这八个集合体中，有四个是不同的集合体，包括我们之前报道的集合体，其余的集合体可以通过修改这四种情况来获得。所有这些组件都由嵌套的班尼特连杆网格组成。组件的布局可以重复以形成大型可展开结构。当班尼特连杆是等边的时，组件扩展以形成拱。对于不等边的情况，组件展开成具有圆柱形轮廓的螺旋形状。它们在几何上受到过约束，只有一个自由度。新发现的组件为可展结构的设计提供了更多的选择。
This paper deals with deployable structures formed by interconnected Bennett linkages. A total of eight cases that allow mobile assemblies of Bennett linkages being built have been found by considering the links that may contain sections with negative length. Among the eight assemblies, four are distinct ones, including the one that we reported previously, and the remaining can be obtained by modifying the four cases. All these assemblies consist of a grid of nested Bennett linkages. The layout of the assemblies can be repeated to form a large deployable structure. When the Bennett linkages are equilateral, the assemblies expand to form arches. For a non-equilateral case, the assemblies deploy into a helical shape with a cylindrical profile. They are geometrically overconstrained with a single degree of mobility. The newly found assemblies provide more choices in the design of deployable structures.