A spatial parallel kinematic mechanism (PKM) with five degrees of freedom (DoFs) and three limbs is proposed in this paper. To investigate the characteristics of the proposed mechanism's DoFs, mobility analysis based on a line graph method and Grassmann line geometry is carried out. The results show that the mobile platform can rotate about a fixed point at the base and translate in a specific plane (i.e., three rotations and two translations). Therefore, the mobile platform can be located at an arbitrary point in the space and has flexible orientational capability. The orientation of the mobile platform is described by using tilt-and-torsion (T&T) angles, and the kinematics model is established with this precondition. Within the process of kinematics modeling, parasitic motion of the mobile platform is analyzed, and singularity configurations are also disclosed. On this basis, four working modes with different configurations are identified, and one of them is focused on and investigated in detail. The proposed PKM has good potential to be used in the development of movable machine centers. The kinematic analysis is very helpful for the understanding of the concept and the potential applications.
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December 2016
Research-Article
Mobility, Singularity, and Kinematics Analyses of a Novel Spatial Parallel Mechanism
Fugui Xie,
Fugui Xie
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Beijing Key Laboratory of
Precision/Ultra-Precision
Manufacturing Equipments and Control,
Tsinghua University,
Beijing 100084, China;
Precision/Ultra-Precision
Manufacturing Equipments and Control,
Tsinghua University,
Beijing 100084, China;
Fraunhofer-Institut fuer Werkzeugmaschinen und
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
e-mail: xiefg@mail.tsinghua.edu.cn
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
e-mail: xiefg@mail.tsinghua.edu.cn
Search for other works by this author on:
Xin-Jun Liu,
Xin-Jun Liu
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Beijing Key Laboratory of
Precision/Ultra-Precision Manufacturing
Equipments and Control,
Tsinghua University,
Beijing 100084, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
Precision/Ultra-Precision Manufacturing
Equipments and Control,
Tsinghua University,
Beijing 100084, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
Search for other works by this author on:
Xuan Luo,
Xuan Luo
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China
Search for other works by this author on:
Markus Wabner
Markus Wabner
Fraunhofer-Institut fuer Werkzeugmaschinen und
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
Search for other works by this author on:
Fugui Xie
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Beijing Key Laboratory of
Precision/Ultra-Precision
Manufacturing Equipments and Control,
Tsinghua University,
Beijing 100084, China;
Precision/Ultra-Precision
Manufacturing Equipments and Control,
Tsinghua University,
Beijing 100084, China;
Fraunhofer-Institut fuer Werkzeugmaschinen und
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
e-mail: xiefg@mail.tsinghua.edu.cn
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
e-mail: xiefg@mail.tsinghua.edu.cn
Xin-Jun Liu
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China;
Beijing Key Laboratory of
Precision/Ultra-Precision Manufacturing
Equipments and Control,
Tsinghua University,
Beijing 100084, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
Precision/Ultra-Precision Manufacturing
Equipments and Control,
Tsinghua University,
Beijing 100084, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
Xuan Luo
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University,
Beijing 100084, China
Markus Wabner
Fraunhofer-Institut fuer Werkzeugmaschinen und
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
Umformtechnik (IWU),
Reichenhainer Str. 88,
Chemnitz D-09126, Germany
1Corresponding authors.
Manuscript received June 13, 2016; final manuscript received September 25, 2016; published online October 27, 2016. Assoc. Editor: Marc Gouttefarde.
J. Mechanisms Robotics. Dec 2016, 8(6): 061022 (10 pages)
Published Online: October 27, 2016
Article history
Received:
June 13, 2016
Revised:
September 25, 2016
Citation
Xie, F., Liu, X., Luo, X., and Wabner, M. (October 27, 2016). "Mobility, Singularity, and Kinematics Analyses of a Novel Spatial Parallel Mechanism." ASME. J. Mechanisms Robotics. December 2016; 8(6): 061022. https://doi.org/10.1115/1.4034886
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