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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Wan-Yong Zhou,Wu-Yi Chen,Xian-Guo Han,Fang Zou.The Kinematics Algorithm of 3RPS Mechanism with Compound Sphere Joint[J].Journal of Harbin Institute Of Technology(New Series),2013,20(6):91-96.DOI:10.11916/j.issn.1005-9113.2013.06.013.
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The Kinematics Algorithm of 3RPS Mechanism with Compound Sphere Joint
Author NameAffiliation
Wan-Yong Zhou School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China 
Wu-Yi Chen School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China 
Xian-Guo Han School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China 
Fang Zou Beijing Aeronautical Manufacturing Technology Research Institute, Beijing 100024, China 
Abstract:
The new schemes for the kinematics algorithm of traditional 3RPS and 3RPS with compound sphere joint were presented. The kinematics algorithm of traditional 3RPS was established by Quaternion, and the constraint equation of compound sphere joint was established by DH method based on Dual quaternion, and then the kinematics algorithm of 3RPS with compound sphere joint was gotten by replacing the constraint equation of spherical hinge with compound sphere joint. Compound sphere joint was determined by three revolving joints. The proposed method is applicable to any position and orientation of three revolving joints and can analyze systematic errors during manufacturing and calculating process. Examples were used to verify that this method can calculate fast with good reliability.
Key words:  3RPS mechanism  Compound sphere joint  Quaternion  Dual quaternion  DH method
DOI:10.11916/j.issn.1005-9113.2013.06.013
Clc Number:TH112
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