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Dynamic rolling analysis of triangular-bipyramid robot

Published online by Cambridge University Press:  19 March 2014

Yaobin Tian
Affiliation:
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
Yan-An Yao*
Affiliation:
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
*
*Corresponding author. E-mail: yayao@center.njtu.edu.cn

Summary

In this paper a rolling robot resembling the shape of a triangular-bipyramid is proposed. The robot has three degrees of freedom and is formed by connecting two tripod mechanisms with three spherical joints. By kinematic analysis, the robot can be viewed as a planar four-bar linkage. Further, its dynamic rolling ability is discussed by Zero Moment Point (ZMP) analysis. We show that the robot has the capability to roll, adjust its step length, and switch rolling directions. These functions are verified by a series of simulations with a CAD (computer-aided design) model and experiments with a prototype.

Type
Articles
Copyright
Copyright © Cambridge University Press 2014 

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References

1. Ylikorpi, T. and Suomela, J., “Ball shaped robots: An historical overview and recent development at TKK,” Field Serv. Rob. 25 (6), 343354 (2006).Google Scholar
2. Armour, R. H. and Vincent, J. F., “Rolling in nature and robotics: A review,” J. Bionic. Eng. 3 (4), 195208 (2006).Google Scholar
3. Halme, A., Schönberg, T. and Wang, Y., “Motion Control of a Spherical Mobile Robot,” Proceedings of IEEE International Workshop on Advanced Motion Control, Mie, Japan (May. 18–21, 1996) pp. 259264.Google Scholar
4. Bicchi, A., Balluchi, A., Prattichizzo, D. and Gorelli, A., “Introducing the Sphericle: An Experimental Testbed for Research and Teaching in Non-Holonomy,” Proceedings of IEEE International Conference on Robotics and Automation, Albuquerque, USA (Apr. 20–25, 1997) pp. 26202625.CrossRefGoogle Scholar
5. Otani, T., Urakuboi, T., Maekawa, S., Tamaki, H. and Tada, Y., “Position and Attitude Control of a Spherical Rolling Robot Equipped with a Gyro,” 9th IEEE International Workshop on Advanced Motion Control, Istanbul, Turkey (Mar. 27–29, 2006) pp. 416421.Google Scholar
6. Mukherjee, R., Minor, M. A. and Pukrushpan, J. T., “Simple Motion Planning Strategies for Spherobot: A Spherical Mobile Robot,” Proceedings of IEEE International Conference on Decision and Control, Phoenix, USA (Dec. 7–10, 1999) pp. 21322137.Google Scholar
7. Mukherjee, R., Minor, M. A. and Pukrushpan, J. T., “Motion planning for a spherical mobile robot: Revisiting the classical ball-plate problem,” ASME J. Dyn. Syst.-T. 124, 502511 (2002).Google Scholar
8. Javadi, A. H. and Mojabi, P., “Introducing glory: A novel strategy for an omnidirectional spherical rolling robot,” ASME J. Dyn. Syst.-T. 126 (3), 678683 (2004).Google Scholar
9. Joshi, V. A. and Banavar, R. N., “Motion analysis of a spherical mobile robot,” Robotics 27, 343353 (2009).Google Scholar
10. Joshi, V. A., Banavar, R. N. and Hippalgaonkar, R., “Design and analysis of a spherical mobile robot,” Mech. Mach. Theory 45, 130136 (2010).Google Scholar
11. Wait, K. W., Jackson, P. J. and Smoot, L. S., “Self Locomotion of a Spherical Rolling Robot Using a Novel Deformable Pneumatic Method,” IEEE International Conference on Robotics and Automation, Anchorage, USA (May. 3–8, 2010) pp. 37573762.Google Scholar
12. Phipps, C. C. and Minor, M. A., “Introducing the hex-a-ball, a hybrid locomotion terrain adaptive walking and rolling robot,” Proceedings of Climbing and Walking Robots (CLAWAR), London, UK (Sept. 13–15, 2005) pp. 525532.Google Scholar
13. Sugiyama, Y. and Hiral, S., “Crawling and jumping by a deform robot,” Int. J. Robot. Res. 25 (5–6), 603620 (2006).Google Scholar
14. Shibata, M. and Hiral, S., “Rolling Locomotion of Deformable Tensegrity Structure,” 12th International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, Istanbul, Turkey (Sep. 9–11, 2009) pp. 18.Google Scholar
15. Calladine, C. R., “Buckminster fuller's “Tensegrity” structures and Clerk Maxwell's rules for the construction of stiff frames,” Int. J. Solids Struct. 14, 161172 (1978).Google Scholar
16. Sastra, J., Chitta, S. and Yim, M., “Dynamic rolling for a modular loop robot,” Int. J. Robot. Res. 28 (6), 758773 (2009).Google Scholar
17. Yim, M., Duff, D. G. and Roufas, K. D., “PolyBot: A Modular Reconfigurable Robot,” Proceeding of the 2000 IEEE International Conference on Robotics and Automation, San Francisco, USA (Apr. 24–28, 2000) pp. 514520.Google Scholar
18. Lee, W. H. and Sanderson, A. C., “Dynamic rolling locomotion and control of modular robots,” IEEE T. Robotic. Autom. 18 (1), 3241 (2002).Google Scholar
19. Clark, P. E., Rilee, M. L., Curtis, S. A., Truszkowski, W., Marr, G., Cheung, C. and Rudisill, M., “BEES for ANTS: Space Mission Applications for the Autonomous Nanotechnology Swarm,” Proceedings of the 1st AIAA Intelligent Systems Technical Conference, Chicago, USA (Sep. 20–22, 2004), Session 29-IS-13, pp. 112.Google Scholar
20. Lyder, A., Franco, R., Garcia, M. and Stoy, K., “Mechanism Design of Odin, an Extendable Heterogeneous Deformable Modular Robot,” Proceeding of the 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems, Nice, France (Sept. 22–26, 2008) pp. 883888.Google Scholar
21. Liu, C. H., Yao, Y. A., Li, R. M., Tian, Y. B., Zhang, N., Ji, Y. Y. and Kong, F. Z., “Rolling 4R linkages,” Mech. Mach. Theory 48, 114 (2012).Google Scholar
22. Liu, C. H., Li, R. M. and Yao, Y. A., “An omnidirectional rolling 8U parallel mechanism,” ASME J. Mech. Robot. 4 (3), 034501-16 (2012).Google Scholar
23. Tian, Y. B. and Yao, Y. A., “Constructing Rolling Mechanisms Based on Tetrahedron Units,” Proceedings of the International Conference on Reconfigurable Mechanisms and Robots (ReMAR 2012), Tianjin, China (Jul. 9–11, 2012) pp. 221232.Google Scholar
24. Dunlop, D. R. and Jones, T. P., “Position analysis of a 3-DOF parallel manipulator,” Mech. Mach. Theory 32 (8), 903920 (1997).Google Scholar
25. Karouia, M. and Hervé, J. M., “Asymmetrical 3-dof spherical parallel mechanisms,” Eur. J. Mech. A-Solid 24 (1), 4757 (2007).Google Scholar
26. Vukobratović, M., Frank, A. A. and Juricic, D., “On the stability of biped locomotion,” IEEE T. Bio-Med. Eng. 17 (1), 2536 (1970).CrossRefGoogle ScholarPubMed
27. Takanishi, A., Tochizawa, M., Takeya, T., Karaki, H. and Kato, I., “Realization of Dynamic Biped Walking Stabilized with Trunk Motion Under Known External Force,” Proceedings of the 4th International Conference on Advanced Robotics, Columbus, USA (Jun. 13–15, 1989) pp. 299310.Google Scholar