Structural analysis of variable topology mechanisms (VTMs) is the leading task when studying the topological variability of mechanisms. Of several major concerns, structure decomposition and homomorphism identification are two dominating issues for the structural analysis of VTMs. This paper presents a systematic computational approach for the structure decomposition and homomorphism identification of planar VTMs. Along with the proposed method, a constraint matrix representation, that records the potential motion constraints and the topological structures of a VTM, is introduced for serving as the basis of the approach. In addition, a new index, namely, degrees of homomorphism (DOHs), is suggested for quantifying the topological similarity among VTMs. For illustration, an automatic steel clamping and sawing mechanism and a group of mechanisms with similar topologies are adopted, from which their structure decomposition and homomorphism identification are carried out. As shown, the method is both symbolically readable and computationally considerable. The result is helpful for the automated structural analysis and synthesis of variable topology mechanisms.
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Research-Article
Structure Decomposition and Homomorphism Identification of Planar Variable Topology Mechanisms
Chin-Hsing Kuo,
Chin-Hsing Kuo
1
Assistant Professor
Department of Mechanical Engineering,
43, Sec. 4, Keelung Road,
Taipei 106,
e-mail: chkuo717@mail.ntust.edu.tw
Department of Mechanical Engineering,
National Taiwan University of Science and Technology
,43, Sec. 4, Keelung Road,
Taipei 106,
Taiwan
e-mail: chkuo717@mail.ntust.edu.tw
1Corresponding author.
Search for other works by this author on:
Lung-Yu Chang
Lung-Yu Chang
Department of Mechanical Engineering,
43, Sec. 4, Keelung Road,
Taipei 106,
National Taiwan University of Science and Technology
,43, Sec. 4, Keelung Road,
Taipei 106,
Taiwan
Search for other works by this author on:
Chin-Hsing Kuo
Assistant Professor
Department of Mechanical Engineering,
43, Sec. 4, Keelung Road,
Taipei 106,
e-mail: chkuo717@mail.ntust.edu.tw
Department of Mechanical Engineering,
National Taiwan University of Science and Technology
,43, Sec. 4, Keelung Road,
Taipei 106,
Taiwan
e-mail: chkuo717@mail.ntust.edu.tw
Lung-Yu Chang
Department of Mechanical Engineering,
43, Sec. 4, Keelung Road,
Taipei 106,
National Taiwan University of Science and Technology
,43, Sec. 4, Keelung Road,
Taipei 106,
Taiwan
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received September 16, 2012; final manuscript received October 24, 2013; published online January 3, 2014. Assoc. Editor: Jian S. Dai.
J. Mechanisms Robotics. May 2014, 6(2): 021002 (11 pages)
Published Online: January 3, 2014
Article history
Received:
September 16, 2012
Revision Received:
October 24, 2013
Citation
Kuo, C., and Chang, L. (January 3, 2014). "Structure Decomposition and Homomorphism Identification of Planar Variable Topology Mechanisms." ASME. J. Mechanisms Robotics. May 2014; 6(2): 021002. https://doi.org/10.1115/1.4026336
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