The autoderivation of valid topological graph (TGs) of planar 3DOF parallel mechanisms is studied systematically based on topology embryonic graphs (TEGs) and arrays. First, some TEGs without any binary links are constructed, some paths with only binary links are distributed over the TEGs, and some valid TGs of the planar 3DOF PMs are derived. Second, a complicated derivation of the TG is transformed into an easy derivation of array. Third, some programs are compiled in VB, all valid arrays corresponding to nonisomorphic TGs are derived automatically, and some invalid arrays corresponding to the isomorphic TGs and invalid TGs are determined by compiled programs. Finally, many valid TGs of planar 3DOF PMs with various basic links are derived from valid arrays.
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February 2010
Research Papers
Autoderivation of Topological Graphs for Type Synthesis of Planar 3DOF Parallel Mechanisms
Yi Lu,
Yi Lu
College of Mechanical Engineering,
e-mail: luyi@ysu.edu.cn
Yanshan University
, Qinhuangdao, Hebei, 066004, P. R. China
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Ling Ding,
Ling Ding
College of Information Science and Engineering,
e-mail: dl197139@yahoo.com.cn
Yanshan University
, Qinhuangdao, Hebei, 066004, P. R. China
Search for other works by this author on:
Jianping Yu
Jianping Yu
College of Foreign Studies,
e-mail: yjp@ysu.edu.cn
Yanshan University
, Qinhuangdao, Hebei, 066004, P. R. China
Search for other works by this author on:
Yi Lu
College of Mechanical Engineering,
Yanshan University
, Qinhuangdao, Hebei, 066004, P. R. Chinae-mail: luyi@ysu.edu.cn
Ling Ding
College of Information Science and Engineering,
Yanshan University
, Qinhuangdao, Hebei, 066004, P. R. Chinae-mail: dl197139@yahoo.com.cn
Jianping Yu
College of Foreign Studies,
Yanshan University
, Qinhuangdao, Hebei, 066004, P. R. Chinae-mail: yjp@ysu.edu.cn
J. Mechanisms Robotics. Feb 2010, 2(1): 011002 (8 pages)
Published Online: November 12, 2009
Article history
Received:
December 10, 2008
Revised:
July 23, 2009
Published:
November 12, 2009
Citation
Lu, Y., Ding, L., and Yu, J. (November 12, 2009). "Autoderivation of Topological Graphs for Type Synthesis of Planar 3DOF Parallel Mechanisms." ASME. J. Mechanisms Robotics. February 2010; 2(1): 011002. https://doi.org/10.1115/1.4000521
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