Research on Lower-Order Body Matrix Method and the Configuration Transformation of Planar Metamorphic Mechanism

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The lower-order body matrix method is proposed as to topological configuration issue of planar metamorphic mechanism. Through combining lower-order operator and type code of kinematic pair, the lower-order body matrix is built to describe the information of adjacent body and kinematic pair. In the research on configuration transformation of planar metamorphic mechanism, step-description method is put forward which adapts to the analysis of various planar metamorphic ways. Step mathematical equation is established based on the generalized operational rule of lower-order body matrix. Application example shows that the lower-order matrix built with lower-order body matrix method is simpler and more informative, which has many advantages over the adjacency matrix and the correlation matrix that cannot be combined with the kinematics and dynamics equations, and solve the issue that the low-order sequences can only describe the open chain metamorphic mechanism. Step-description method can describe various planar metamorphic configuration transformation process comprehensively, which the EU matrix method cannot complete, providing a new method on the research of planar metamorphic mechanism.

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Periodical:

Edited by:

Abdel Hamid Ismail Mourad and József Kázmér Tar

Pages:

332-338

Citation:

S. H. Hu et al., "Research on Lower-Order Body Matrix Method and the Configuration Transformation of Planar Metamorphic Mechanism", Applied Mechanics and Materials, Vol. 527, pp. 332-338, 2014

Online since:

February 2014

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$41.00

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[1] Jian-sheng Dai, Rees J J. Mobility in metamorphic mechanisms of foldable/erectable kinds[J]. Transaction of the ASME, Journal of Mechanical Design, 1999, 121(3): 375-385.

DOI: https://doi.org/10.1115/1.2829470

[2] Jian-sheng Dai, Qi-xian Zhang. Metamorphic mechanisms and their configuration models[J]. Chinese Journal of Mechanical Engineering, 2000, 13(3): 212-218.

[3] Jian-sheng Dai, Rees J J. Configuration transformations in metamorphic mechanisms of foldable/erectable kinds[C]. The 10th World Congress on the Theory of Machines and Mechanisms. Oulu, 1999, 21(9): 542-547.

DOI: https://doi.org/10.1115/1.2829470

[4] De-Lun Wang, Jian-sheng Dai. Theoretical foundation of metamorphic mechanism and its synthesis[J]. Chinese Journal of Mechanical Engineering, 2007, 43(8): 32-42.

[5] Zhong-hai Zhang. Research and application of structure theory of metamorphic mechanism[D]. Beijing: Beijing University of Posts and Telecommunications, (2009).

[6] Hong-Sen Yan, Chin-Hsing Kuo. Topological Representations and Characteristics of Variable Kinematic Joints[J]. ASME Transaction Journal of Mechanical Design, 2006, 128(2): 384-391.

DOI: https://doi.org/10.1115/1.2166854

[7] Jiang-nan Liu, De-jie Yu. Metamorphic equation of variable topology mechanisms based on the constraint function[J]. Chinese Journal of Mechanical Engineering, 2012, 48(9): 1-9.

[8] Xing-wang Tao. Analysis and application research of combination characteristics about the principles of metamorphic mechanisms[D]. Shaanxi: Shaanxi University of Science and Technology, (2010).

[9] You-wu Liu. Multi body dynamics of the Houston method and its development[J]. China Mechanical Engineering, 2000, 11(6): 601-607.

[10] Li-ping Zhang, Jian-sheng Dai. Metamorphic techniques and geometric reconfiguration principles[C]. ASME/IFToMM. International Conference on Reconfigurable Mechanisms and Robots, London, United Kingdom, 2009: 32-40.