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Discrete kinematic synthesis of discretely actuated hyper-redundant manipulators

Published online by Cambridge University Press:  14 May 2013

Alireza Motahari*
Affiliation:
Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Hassan Zohoor
Affiliation:
Center of Excellence in Design, Robotics and Automation, Sharif University of Technology, and The Academy of Sciences, Tehran, Iran
M. Habibnejad Korayem
Affiliation:
Center of Excellence in Experimental Solid Mechanics and Dynamics, Iran University of Science and Technology, Tehran, Iran
*
*Corresponding author. E-mail: a.motahari@srbiau.ac.ir

Summary

Discrete kinematic synthesis of discretely actuated hyper-redundant manipulators is a new practical problem in robotics. The problem concerns with determining the type of each manipulator module from among several specific types, so that the manipulator could reach several specified target frames with the lowest error. This paper suggests using a breadth-first search method and a workspace mean frame to solve this problem. To reduce errors, two heuristic ideas are proposed: two-by-two searching method and iteration. The effectiveness of the proposed method is verified through several numerical problems.

Type
Articles
Copyright
Copyright © Cambridge University Press 2013 

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References

1.Pieper, D. L., The Kinematics of Manipulators Under Computer ControlPh.D. Dissertation (Stanford, CA: Stanford University, Oct. 1968).Google Scholar
2.Chirikjian, G. S., “A Binary Paradigm for Robotic Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, California (May 8–13, 1994) pp. 30633070.Google Scholar
3.Ebert-Uphoff, I., On the Development of Discretely-Actuated Hybrid-Serial-Parallel ManipulatorsPh.D. Dissertation (Johns Hopkins University, 1997).Google Scholar
4.Suthakorn, J. and Chirikjian, G. S., “Design and implementation of a new discretely-actuated manipulator,” Exp. Robot. VII, Springer Series: Lecture Notes in Control and Information Sciences 271, 151158 (2001).Google Scholar
5.Sujan, V. A., Lichter, M. D. and Dubowsky, S., “Lightweight Hyper-Redundant Binary Elements for Planetary Exploration Robots,” Proceedings of the IEEE/ASME International Conferences Advanced Intelligent Mechatronics, Como, Italy (2001) pp. 12731278.Google Scholar
6.Chirikjian, G. S., “Kinematic synthesis of mechanisms and robotic manipulators with binary actuators,” ASME J. Mech. Des. 117, 573580 (1995).CrossRefGoogle Scholar
7.Miyahara, K. and Chirikjian, G. S., “General Kinematic Synthesis Method for a Discretely Actuated Robotic Manipulator (D-Arm),” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Beijing, China, (2006) pp. 58895894.Google Scholar
8.Kyatkin, A. B. and Chirikjian, G. S., “Synthesis of binary manipulators using the Fourier transform on the Euclidean group,” ASME J. Mech. Des. 121, 914 (1999).CrossRefGoogle Scholar
9.Kim, P. T., Liu, Y., Luo, Z. and Wang, Y., “Deconvolution on the Euclidean motion group and planar robotic manipulator design,” Robotica 27, 861872 (2009).CrossRefGoogle Scholar
10.Hang, G.-W., Nam, D. J. and Kim, Y. Y., “Sub-workspace design of binary manipulators using active and passive joints,” J. Mech. Sci. Technol. 22, 17071715 (2008).Google Scholar
11.Ebert-Uphoff, I. and Chirikjian, G. S., “Efficient workspace generation for binary manipulators with many actuators,” J. Robot. Syst. 12 (6), 383400 (1995).CrossRefGoogle Scholar
12.Ebert-Uphoff, I. and Chirikjian, G. S., “Inverse Kinematics of Discretely Actuated Hyper Redundant Manipulators Using Workspace Densities,” Proceedings of the IEEE International Conference on Robotics and Automation, Minneapolis (1996) pp. 139145.CrossRefGoogle Scholar
13.Suthakorn, J. and Chirikjian, G. S., “A new inverse kinematics algorithm for binary manipulators with many actuators,” Adv. Robotics 15 (2), 225244 (2001).CrossRefGoogle Scholar
14.Wang, Y. F. and Chirikjian, G. S., “Workspace generation of hyper-redundant manipulators as a diffusion process on SE(N),” IEEE Trans. Robot. Autom. 20 (3), 399408 (2004).CrossRefGoogle Scholar
15.Kim, Y. Y., Jang, G. W. and Nam, S. J., “Inverse kinematics of binary manipulators by using the continuous-variable-base optimization method,” IEEE Trans. Robot. 22 (1), 3342 (2006).Google Scholar
16.Mohan Rao, N. and Rao, K. Mallikarjuna, “Dimensional synthesis of a spatial 3-RPS parallel manipulator for a prescribed range of motion of spherical joints,” J. Mech. Mach. Theory 44, 477486 (2009).CrossRefGoogle Scholar
17.Park, F. C., “Distance metrics on the rigid-body motions with applications to mechanism design,” Trans. ASME 117, 4854 (1995).CrossRefGoogle Scholar
18.Kyatkin, A. B. and Chirikjian, G. S., Engineering Applications of Noncommutative Harmonic Analysis, Chapter 6. (CRC Press, 2000).Google Scholar