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Frontiers of Mechanical Engineering

Front. Mech. Eng.    2013, Vol. 8 Issue (1) : 3-9     https://doi.org/10.1007/s11465-013-0363-6
RESEARCH ARTICLE
Polyhedral linkages obtained as assemblies of planar link groups
GÖkhan KİPER1(), Eres SÖYLEMEZ2
1. Department of Mechanical Engineering, Izmir Institute of Technology, Izmir 35430, Turkey; 2. Department of Mechanical Engineering, Middle East Technical University, Ankara 06531, Turkey
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Abstract

The study aims to devise means of obtaining polyhedral linkages for homothetic deployment of polyhedral shapes by embedding planar link groups in faces of the polyhedral shape of interest. The questions of which polyhedral shapes may be suitable for such a purpose and what are the compatibility conditions for spatially assembling planar link groups are addressed. Homohedral and tangential polyhedral shapes are found to be suitable for the task and some examples of linkages are worked out.

Keywords polyhedral linkages      homothety      homohedra      tangential polyhedra     
Corresponding Author(s): KİPER GÖkhan,Email:gokhankiper@iyte.edu.tr   
Issue Date: 05 March 2013
 Cite this article:   
GÖ,khan Kİ,PER, et al. Polyhedral linkages obtained as assemblies of planar link groups[J]. Front. Mech. Eng., 2013, 8(1): 3-9.
 URL:  
http://journal.hep.com.cn/fme/EN/10.1007/s11465-013-0363-6
http://journal.hep.com.cn/fme/EN/Y2013/V8/I1/3
Fig.1  Polygonal kinematic chain
Fig.2  (a) Variable+ fixed length example; (b) fixed+ variable length example;(c) variable+ variable length example
Fig.3  Octahedral linkage in compact, deployed and further actuated forms
Fig.4  Octahedral linkage with different dimensioning in compact and deployed forms
Fig.5  Adjacent faces of a tangential polyhedron
Fig.6  Tetrahedral linkage in compact and deployed forms
Fig.7  Hexahedral linkage in compact and deployed forms
Fig.8  Cubic linkage in compact and deployed forms
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