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A calculation method of the reaction force and moment for a Delta-type parallel link robot fixed with a frame

Published online by Cambridge University Press:  01 July 2009

Jangho Hong*
Affiliation:
Department of Intelligent Machinery and Systems, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan.
Motoji Yamamoto
Affiliation:
Department of Intelligent Machinery and Systems, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan.
*
*Corresponding author. E-mail: hong@mint.mech.kyushu-u.ac.jp

Summary

The paper presents a method of reaction force and moment calculation for a 3-RSS pure translational parallel link robot (Delta-type parallel robot), in which the inverse and forward kinematics of the parallel link robot are directly analyzed according to kinematic structure of the parallel robot. For dynamic analysis, the parallel robot is imaginarily parted into three serial ones, and their actual joint torques are determined by the virtual work principle. To obtain the reaction force and moment of the parallel robot acting on the base, which is the composition of the reaction forces and moments of the three serial robots, the Newton–Euler Method is adopted. To show the validity of the presented method, the simulation analysis and experimental results are given, the experimental results tally with the calculation value.

Type
Article
Copyright
Copyright © Cambridge University Press 2008

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References

1.Gao, Feng, Li, Weimin, Zhao, Xianchao, Jin, Zhenlin and Zhao, Hui, “New kinematic structure for 2-, 3-, 4-, and 5-DOF parallel manipulator designs,” Mech. Mach. Theory 37, 13951411 (2002).CrossRefGoogle Scholar
2.Li, Qinchuan and Huang, Zhen, “Type Synthesis of 4-DOF Parallel Manipulators,” IEEE International Conference on Robotics and Automation, Taipei, Taiwan (2003) pp. 755760.Google Scholar
3.Li, Qinchuan and Huang, Zhen, “Mobility Analysis of a 3-5R Parallel Mechanism Family,” IEEE International Conference on Robotics and Automation, Taipei, Taiwan (2003) pp. 18871892.Google Scholar
4.Lu, Yi, “Using CAD functionalities for the kinematics analysis of spatial parallel manipulators with 3-, 4-, 5-, 6-linearly driven limbs,” Mech. Mach. Theory 39, 4160 (2004).CrossRefGoogle Scholar
5.Wang, Yunfeng, “A direct numerical solution to forward kinematics of general Stewart-Gough platforms,” Robotica 25, 121128 (2007).CrossRefGoogle Scholar
6.Craig, John J., Introduction to Robotics—Mechanics and Control (PEARSON Prentica Hall, New Jersey, USA, 2005) pp. 241244.Google Scholar
7.Nguyen, Charles C., Antrazi, Sami C., Zhou, Zhen-lei and Campbell, Charles E. Jr., “Analysis and implementation of a 6 DOF Stewart platform-based robotic wrist,” Comput. Elect. Eng. 17 (3), 191203 (1991).Google Scholar
8.Uchiyama, Masaru, “Mechanism and Characteristic of Parallel Manipulator,” Jpn. Soc. Precision Eng. 71 (11), 13631368 (2005).Google Scholar
9.Takeda, Yukio, “Parallel Mechanism,” Jpn. Soc. Precision Eng. 71 (11), 13631368 (2005).CrossRefGoogle Scholar
10.Nakamura, Yoshihiko, “Dynamics of parallel mechanism,” J. Rob. Soc. Jpn. 10 (6), 709714 (1992).Google Scholar
11.Cravel, R., “DELTA Ca Fast Robot With Parallel Geometry,” International Symposium on Industrial Robots C, Lausanne, Switzerland (1988) pp. 91100.Google Scholar
12.Cai, G. Q., Wamg, Q. M., Hu, M., Kang, M. C. and Kim, N. K., “A study on the kinematic and dynamic of a 3-DOF parallel machine tool,” J. Mat. Process. Technol. 111, 269272 (2001).Google Scholar
13.Li, Yangmin and Xu, Qingsong, “Dynamics Analysis of Modified DELTA Parallel Robot for Cardiopulmonary Resuscitation,” IEEE/RSJ International Conference on Intelligent Robotics and Systems, Center Edmont, Alberta Canada (2005) pp. 33713376.Google Scholar
14.Sato, Daisuke, Kobayashi, Ryosuke, Kobayashi, Akira and Uchiyama, Masaru, “Task Teaching System for a Force-Controlled Parallel Robot Using Multiple Teaching Modes with Human Demonstration Data,” IEEE Internation11al Conference on Robotics and Automation, Orlando, Florida (2006) pp. 39603965.Google Scholar
15.Laribi, M. A., Romdhane, L. and Zeghloul, S., “Analysis and dimensional synthesis of the DELTA robot for a prescribed workspace,” Mech. Mach. Theory 42, 859870 (2007).CrossRefGoogle Scholar
16.Tsai, Lung-Wen and Joshi, Sameer, “Comparison Study of Architectures of Four 3 Degree-Of-Freedom Translational Parallel Manipulators,” IEEE International Conference on Robotics and Automation, Seoul, Korea (2001) pp. 12831288.Google Scholar
17.Han, Chanhee, Kim, Jinwook, Kim, Jongwon and Park, Frank Chongwoo, “Kinematic sensitivity analysis of the 3-UPU parallel mechanism,” Mech. Mach. Theory 37, 787798 (2002).CrossRefGoogle Scholar
18.Ji, Ping and Wu, Hongtao, “Kinematics analysis of an offset 3-UPU translational parallel robotic manipulator,” Rob. Autonom. Syst. 42, 117123 (2003).CrossRefGoogle Scholar
19.Li, Jianfeng, Wang, Jinsong, Chou, Wusheng, Zhang, Yuru, Wang, Tianmiao and Zhang, Qixian, “Inverse Kinematics and Dynamics of the 3-RRS Parallel Platform,” IEEE International Conference on Robotics and Automation, Seoul, Korea (2001) pp. 10061012.Google Scholar
20.Huang, Z., Wang, J. and Fang, Y. F., “Analysis of instantaneous motions of deficient-rank 3-RPS parallel manipulators,” Mech. Mach. Theory 37, 229240 (2002).Google Scholar
21.Sokolov, Alexei and Xirouchakis, Aul, “Dynamics analysis of a 3-DOF parallel manipulator with R-P-S joint structure,” Mech. Mach. Theory 42, 541557 (2007).Google Scholar
22.Ceccarelli, Marco and Carbone, Giuseppe, “A stiffness analysis for CaPaMan (Cassino Parallel Manipulator),” Mech. Mach. Theory 37, 427439 (2002).Google Scholar
23.Ceccarelli, Marco, Fino, Pietro Maurizio Decio and Jimenez, Jose Manuel, “Dynamic performance of CaPaMan by numerical simulations,” Mech. Mach. Theory 37, 241266 (2002).CrossRefGoogle Scholar
24.Tsai, Meng-Shiun, Shiau, Ting-Nung, Tsai, Yi-Jeng and Chang, Tsann-Huei, “Direct kinematic analysis of a 3-PRS parallel mechanism,” Mech. Mach. Theory 38, 7183 (2003).Google Scholar
25.Daniali, H. R. Mohammadi, Zsombor-Murryand, P. J.Angeles, J., “Singularity analysis of planar parallel manipulators,” Mech. Mach. Theory 30, 665678 (1995).CrossRefGoogle Scholar