Transformation of polyhedrons

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:138

Article

Chen, Yan^1,2  Yang, Fufu¹  You, Zhong^1,3 

[1] Tianjin Univ, Sch Mech Engn, Tianjin 300072, Peoples R China

[2] Tianjin Univ, Minist Educ, Key Lab Mech Theory & Equipment Design, Tianjin 300072, Peoples R China

[3] Univ Oxford, Dept Engn Sci, Parks Rd, Oxford OX1 3PJ, England

关键词: Platonic solid;    Archimedean solid;    Polyhedral transformation;    1-DOF kinematic motion;    Spatial linkage;   

DOI  :  10.1016/j.ijsolstr.2018.01.012

来源: Elsevier

【 摘 要 】

Polyhedral transformation enables large volumetric change amongst Platonic and Archimedean solids. It has great potential in applications where transportability and protection of payload are critical design features, e.g., small or micro satellites, space habitats or planetary rovers. However, existing designs introduce many degrees of freedoms, making the control of transformation process extremely difficult and cumbersome, and thus the practical applicability of the mechanisms is restricted. This paper develops a kinematic method to enable polyhedral transformation with a single degree of freedom. The approach has been implemented for the transformation between truncated octahedron and cube. Motion analysis indicates that transformation path is unique without singularity, which is further demonstrated with physical validation models. We envisage that our method could be suitable for extension to other paired polyhedron sets. (C) 2018 Elsevier Ltd. All rights reserved.

【 授权许可】

Free