Novel method of constructing generalized Hoberman sphere mechanisms based on deployment axes
作者机构：School of MechanicalElectronic and Control EngineeringBeijing Jiaotong UniversityBeijing 100044China Robotics InstituteBeihang UniversityBeijing 100191China
出 版 物：《Frontiers of Mechanical Engineering》 (机械工程前沿（英文版）)
年 卷 期：2020年第15卷第1期
页 面：89-99页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：This work was supported by the National Natural Science Foundation of China(Grant No.51905015) China Postdoctoral Science Foundation(Grant No.2018M631300)
主 题：deployable mechanism typeⅡgeneralized angulated elements Hoberman sphere mechanism deployment axes constraint conditions
摘 要：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 ***,the constraint conditions for inserting n GAEs II into n deployment axes to form a loop are *** angle constraint conditions of the deployment axes are obtained through a series of linear ***,the connection conditions of two GAEs Ⅱ loops that share a common deployable center are ***,a flowchart of constructing the generalized Hoberman sphere mechanism on the basis of deployment axes is ***,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.
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