Dynamics of a waveboard simplified-Reference-Cited by-同舟云学术

Dynamics of a waveboard simplified

Published:2020-12 Issue:2244 Volume:476 Page:20200486
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

DasGupta Anirvan¹^ORCID

Affiliation:

1. Department of Mechanical Engineering, and Center for Theoretical Studies, IIT Kharagpur, 721302, India

Abstract

A study of dynamics of a waveboard is presented. The equations of motion are derived and analysed to understand the intriguing propulsion mechanism. A reduced order model is obtained, and the contributions of different terms are clearly brought out. The geometry of the castor wheels is found to play a key role in the conversion of the twisting oscillatory motion of the rider to the forward translational motion. The process of periodic gain in potential energy and its subsequent conversion to kinetic energy aids the propulsion. Interestingly, the dynamic analysis reveals that the efficacy of this propulsion mechanism tapers off as the speed increases. Rolling resistance in the wheels ultimately limits the speed of the device. The effect of various geometric and dynamic parameters on the motion and forces are studied, and optimality of design is indicated.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2020.0486

Reference24 articles.

1. Nonholonomic motion planning: steering using sinusoids

2. Bloch AM. 2003 Nonholonomic mechanics and control . Interdisciplinary Applied Mathematics (IAM) vol. 24. New York NY: Springer-Verlag.

3. Ostrowski JP Lewis AD Murray RM Burdick JW. 1994 Nonholonomic mechanics and locomotion: the snakeboard example. In Proc. of the IEEE Int. Conf. on Robotics and Automation San Diego CA 8–13 May pp. 2391–2397. Piscataway NJ: IEEE.

4. Ostrowski JP Burdick JW Lewis AD Murray RM. 1995 The mechanics of undulatory locomotion: the mixed kinematic and dynamic case. In Proc. of the IEEE Int. Conf. on Robotics and Automation Nagoya Japan 21–27 May pp. 1945–1951. Piscataway NJ: IEEE.

5. Ostrowski JP Desai JP Vijay Kumar. 1997 Optimal gait selection for nonholonomic locomotion systems. In Proc. of the IEEE Int. Conf. on Robotics and Automation Albuquerque NM 25 April pp. 786–791. Piscataway NJ: IEEE.

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