TWO-ORBIT SWITCH-PITCH STRUCTURES
TWO-ORBIT SWITCH-PITCH STRUCTURES
复制标题
DOI：
--
复制
发表时间：
2012-09
期刊：
影响因子：
--
通讯作者：
Y. Chen;S. Guest;P. Fowler;J. Feng
中科院分区：
文献类型：
--
作者：
Y. Chen;S. Guest;P. Fowler;J. Feng
Hoberman的“开关球”是一种可变形的结构，具有单一的折叠和展开路径。底层的立方体结构具有一种新颖的机制，在折叠过程中保持四面体对称。在这里，我们提出了一个广义的一类结构的类似类型，保持其完整的对称性折叠过程中。关键的思想是，我们需要两个轨道的节点的结构：在每个轨道内，任何节点都可以复制到任何其他节点的对称操作。每个构件通过转动关节连接到两个节点，这两个节点可以在不同的轨道上。我们将描述对称性分析，揭示了开关间距结构的内部机制模式的对称性。为了跟踪结构的完整折叠路径，采用了基于牛顿法的非线性迭代预测校正算法。首先，一个简单的四面体的例子的类的两个轨道结构。图中显示了沿着折叠路径的典型配置。还介绍了这类结构中较大的成员，它们都具有立方对称性。这些开关间距结构可以作为可展开结构具有有用的应用。
The Hoberman ‘switch-pitch’ ball is a transformable structure with a single folding and unfolding path. The underlying cubic structure has a novel mechanism that retains tetrahedral symmetry during folding. Here, we propose a generalized class of structures of a similar type that retain their full symmetry during folding. The key idea is that we require two orbits of nodes for the structure: within each orbit, any node can be copied to any other node by a symmetry operation. Each member is connected to two nodes, which may be in different orbits, by revolute joints. We will describe the symmetry analysis that reveals the symmetry of the internal mechanism modes for a switch-pitch structure. To follow the complete folding path of the structure, a nonlinear iterative predictor-corrector algorithm based on the Newton method is adopted. First, a simple tetrahedral example of the class of two-orbit structures is presented. Typical configurations along the folding path are shown. Larger members of the class of structures are also presented, all with cubic symmetry. These switch-pitch structures could have useful applications as deployable structures.