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Technical Briefs

On Kinematic Mechanism of a Two-Wheel Skateboard: The Essboard

[+] Author and Article Information
Tianmiao Wang

Professor
e-mail: wtm_itm@263.net

Baiquan Su

e-mail: subaiquan@gmail.com

Shaolong Kuang

e-mail: kuangshaolong@gmail.com
Robotics Institute,
School of Mechanical Engineering and Automation,
Beihang University,
Beijing 100191, China

Junchen Wang

Research Professor
School of Engineering,
University of Tokyo,
Tokyo 113-8656, Japan
e-mail: wangjunchen@gmail.com

1Corresponding author.

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received November 3, 2012; final manuscript received March 6, 2013; published online June 10, 2013. Assoc. Editor: Yuefa Fang.

J. Mechanisms Robotics 5(3), 034503 (Jun 24, 2013) (7 pages) Paper No: JMR-12-1185; doi: 10.1115/1.4024240 History: Received November 03, 2012; Revised March 06, 2013

In this paper, we investigate the kinematic mechanism and path planning of a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboards. Different from the most studied Snakeboard, the Essboard consists of a torsion bar and two platforms, each of which contains a pedal and a caster. We study the relationship between the tilt angle of the pedal and the wheel direction of the caster. This relationship clarifies how to control the wheel direction by adjusting the tilt angle. Furthermore, the rotational radius of the Essboard is derived for a given pair of tilt angles of both pedals. The rotational radius of the Essboard is much different to that of other skateboards. Two experiments are conducted to verify the results. These results clarify the kinematic mechanism and lay a solid foundation for further investigation of the Essboard.

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References

Bloch, A. M., 2003, Nonholonomic Mechanics and Control, Vol. 24, Springer, New York.
Koon, W. S., and Marsden, J. E., 1997, “Optimal Control for Holonomic and Nonholonomic Mechanical Systems With Symmetry and Lagrangian Reduction,” SIAM J. Control Optim., 35(3), pp. 901–929. [CrossRef]
Ostrowski, J., Lewis, A., Murray, R., and Burdick, J., 1994, “Nonholonomic Mechanics and Locomotion: The Snakeboard Example,” Proceedings of IEEE International Conference on Robotics and Automation, San Diego, May 8–13, pp. 2391–2397.
Kremnev, A., and Kuleshov, A., 2010, “Nonlinear Dynamics and Stability of the Skateboard,” Discrete Contin. Dyn. Syst., 3(1), pp. 85–103. [CrossRef]
Bullo, F., and Lewis, A., 2003, “Kinematic Controllability and Motion Planning for the Snakeboard,” IEEE Trans. Rob. Autom., 19(3), pp. 494–498. [CrossRef]
Iannitti, S., and Lynch, K., 2004, “Minimum Control-Switch Motions for the Snakeboard: A Case Study in Kinematically Controllable Underactuated Systems,” IEEE Trans. Rob., 20(6), pp. 994–1006. [CrossRef]
Shammas, E. A., Choset, H., and Rizzi, A. A., 2007, “Towards a Unified Approach to Motion Planning for Dynamic Underactuated Mechanical Systems With Non-Holonomic Constraints,” Int. J. Robot. Res., 26(10), pp. 1075–1124. [CrossRef]
Ito, S., Takeuchi, S., and Sasaki, M., 2012, “Motion Measurement of a Two-Wheeled Skateboard and Its Dynamical Simulation,” Appl. Math. Model., 36(5), pp. 2178–2191. [CrossRef]
Shammas, E., and de Oliveira, M., 2011, “An Analytic Motion Planning Solution for the Snakeboard,” Proceedings of Robotics: Science and Systems VII, University of Southern California, Los Angeles, CA, June 27–30.
Shammas, E., and de Oliveira, M., 2012, “Motion Planning for the Snakeboard,” Int. J. Robot. Res., 31(7), pp. 872–885. [CrossRef]
Iannitti, S., and Lynch, K., 2003, “Exact Minimum Control Switch Motion Planning for the Snakeboard,” Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems(IROS), Las Vegas, Oct. 27–Nov. 1, pp. 1437–1443.
Ispolov, Y. G., and Smolnikov, B. A., 1996, “Skateboard Dynamics,” Comput. Methods Appl. Mech. Eng., 131(3–4), pp. 327–333. [CrossRef]
Ostrowski, J., and Burdick, J., 1998, “The Geometric Mechanics of Undulatory Robotic Locomotion,” Int. J. Robot. Res., 17(7), pp. 683–701. [CrossRef]
Golubev, Y. F., 2006, “A Method for Controlling the Motion of a Robot Snakeboarder,” J. Appl. Math. Mech., 70(3), pp. 319–333. [CrossRef]
Kuleshov, A. S., 2008, “Nonlinear Dynamics of a Simplified Skateboard Model,” Eng. Sport 7, 1, pp. 135–142. Available at: http://link.springer.com/chapter/10.1007%2F978-2-287-99054-0_16#

Figures

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Fig. 1

The Essboard configuration

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Fig. 2

Height of the rotation center Of

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Fig. 3

Schematic diagram of motion analysis for the Essboard

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Fig. 4

Effects of the angles δf and ε on the angle ηf

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Fig. 5

Angle Δ between V' fV' r and O' fO' r with respect to the angles δf and δr with the parametric set P

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Fig. 6

Rotational radius r (i.e., |C¯J'|) with respect to the tilt angles of the front and rear pedals of the Essboard

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Fig. 7

Experimental configuration

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