Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes
Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes
复制标题
基于展开轴构造广义霍伯曼球机构的新方法
DOI：
10.1007/s11465-019-0567-5
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发表时间：
2020-03-01
影响因子：
4.5
通讯作者：
Li, Ruiming
中科院分区：
文献类型：
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作者：
Sun, Xuemin;Yao, Yan-An;Li, Ruiming
本研究提出了一种基于在一点相交的部署轴构建 II 型广义角元件 (GAEs II) 霍伯曼球机构的方法。首先，给出了将nGAEs II插入到n部署轴中形成循环的约束条件。通过一系列线性方程得到展开轴的角度约束条件。其次，讨论共享公共可部署中心的两个 GAE II 环路的连接条件。第三，给出了基于展开轴构造广义霍伯曼球机构的流程图。最后，根据给定的满足约束条件的展开轴布置，构造了四种基于全封闭正六面体、算术序列轴、正交算术序列轴和螺旋轴的广义霍伯曼球机构，验证了该方法的可行性。
This study proposes a method of constructing type II generalized angulated elements (GAEs II) Hoberman sphere mechanisms on the basis of deployment axes that intersect at one point. First, the constraint conditions for insertingnGAEs II intondeployment axes to form a loop are given. The angle constraint conditions of the deployment axes are obtained through a series of linear equations. Second, the connection conditions of two GAEs II loops that share a common deployable center are discussed. Third, a flowchart of constructing the generalized Hoberman sphere mechanism on the basis of deployment axes is provided. Finally, four generalized Hoberman sphere mechanisms based on a fully enclosed regular hexahedron, arithmetic sequence axes, orthonormal arithmetic sequence axes, and spiral-like axes are constructed in accordance with the given arrangement of deployment axes that satisfy the constraint conditions to verify the feasibility of the proposed method.