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Stiffness and singularity analysis of foldable parallel mechanism for ship-based stabilized platform

Published online by Cambridge University Press:  17 July 2014

Tie-shi Zhao ,
Chang Wang ,
Xiao Liu ,
Hui Bian  and
Yan-zhi Zhao
Tie-shi Zhao*
Affiliation:
Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao 066004, China Key Laboratory of Advanced Forging & Stamping Technology and Science (Yanshan University), Ministry of Education of China, Qinhuangdao 066004, China
Chang Wang
Affiliation:
Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao 066004, China Key Laboratory of Advanced Forging & Stamping Technology and Science (Yanshan University), Ministry of Education of China, Qinhuangdao 066004, China
Xiao Liu
Affiliation:
Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao 066004, China Key Laboratory of Advanced Forging & Stamping Technology and Science (Yanshan University), Ministry of Education of China, Qinhuangdao 066004, China
Hui Bian
Affiliation:
Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao 066004, China Key Laboratory of Advanced Forging & Stamping Technology and Science (Yanshan University), Ministry of Education of China, Qinhuangdao 066004, China
Yan-zhi Zhao
Affiliation:
Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System, Yanshan University, Qinhuangdao 066004, China Key Laboratory of Advanced Forging & Stamping Technology and Science (Yanshan University), Ministry of Education of China, Qinhuangdao 066004, China
*
*Corresponding author. E-mail: [email protected]
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Summary

This paper investigates a 6-degree-of-freedom foldable parallel mechanism for the ship-based stabilized platform, which is driven by closed chain linkages. The velocity and acceleration mappings between the moving platform and inputs of the closed chain linkages are deduced in the form of the first- and second-order influence coefficient matrices. The continuous stiffness matrix is deduced; furthermore, the translation and rotational stiffness along any direction are also deduced. With directional stiffness, the singularity of the mechanism is analyzed, and the explanation of the singularity is given from the viewpoint of stiffness. The directions the platform cannot move or lose its constraints are got from directional stiffness.

Keywords

Foldable parallel mechanismClosed chain linkagesStiffnessSingularityInfluence matrix
Type
Articles
Information
Robotica , Volume 34 , Issue 4 , April 2016 , pp. 913 - 924
Copyright
Copyright © Cambridge University Press 2014 

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References

1.Keller, J. A. and Smith, E. C., “Experiment and theoretical correlation of helicopter rotor blade-droop stop impacts,” J. Aircr. 36 (2), 443–450 (1999).CrossRefGoogle Scholar
2.Ma, J., Yang, P. and Li, G., “Simulation study of ship's movement regularity and anti-rolling technology under high-wave-level environment,” Ship Eng. 28 (2), 24–29 (2006).Google Scholar
3.Kamel, M. M., “Bifurcation analysis of a nonlinear coupled pitch-roll ship,” Math. Comput. Simul. 73 (5), 300–308 (2007).Google Scholar
4.Huang, Z., Zhao, Y. S. and Zhao, T. S., Advanced Spatial Mechanism (Higher Education Press, Beijing, China, 2006) pp. 169–212, 239–276.Google Scholar
5.Huang, Z., Kong, L. F. and Fang, Y. F., “Mechanism Theory and Control of Parallel Robot” (China Machine Press, Beijing, China, 1997).Google Scholar
6.Dasgupta, B. and Mruthyunjaya, T. S., “Closed-form dynamic equations of the general Stewart platform through the Newton–Euler approach,” Mech. Mach. Theory 33 (7), 993–1012 (1998).CrossRefGoogle Scholar
7.Langbecker, T. and Albermani, F., “Kinematic and non-linear analysis of foldable barrel vaults,” Eng. Struct. 23, 158–171 (2001).CrossRefGoogle Scholar
8.Gosselin, C. M. and Angeles, J., “Singularity analysis of closed-loop kinematic chains,” IEEE Trans. Robot. Autom. 6 (3), 281–290 (1990).Google Scholar
9.Zhao, J. S., Wang, J. Y., Chu, F. L. and Dai, J. S., “Structure synthesis and statics analysis of a foldable stair,” Mech. Mach. Theory 46 (7), 998–1015 (2011).Google Scholar
10.Zlatanov, D., Fenton, R. G. and Benhabib, B., “A unifying framework for classification and interpretation of mechanism singularities,” Trans. ASME J. Mech. Des. 117, 566–572 (1995).CrossRefGoogle Scholar
11.Zlatanov, D., Fenton, R. G. and Benhabib, B., “Identification and classification of the singular configurations of mechanisms,” Mech. Mach. Theory 33 (6), 743–760 (1998).CrossRefGoogle Scholar
12.Chung, J., Jong, T. S., Byung, J. Y., Whee, K. K. and Sang, H. L., “Implementation of a Foldable 3-DOF Master Device to Handle a Large Glass Plate,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, St. Louis, MO (2009) pp. 741–747.Google Scholar
13.Chung, J., Byung, J. Y. and Sung, O., “A foldable 3-DOF parallel mechanism with application to a flat-panel TV mounting device,” IEEE Trans. Robot. 25 (5), 1214–1221 (2009).Google Scholar
14.Joshi, S. and Tsai, L. W., “A comparison study of two 3-DOF parallel manipulators: One with three and the other with four supporting legs,” IEEE Trans. Robot. Autom. 19 (2), 200–209 (2003).CrossRefGoogle Scholar
15.Shin, H., Kim, S., Jeong, J. and Kim, J., “Stiffness enhancement of a redundantly actuated parallel machine tool by dual support rims,” Int. J. Precis. Eng. Manuf. 13 (9), 1539–1547 (2012).Google Scholar
16.Dai, J. S. and Zhao, T. S., “Stiffness characteristics and kinematics analysis of two-link elastic underactuated manipulators,” J. Robot. Syst. 19 (4), 169–176 (2002).Google Scholar