Study of Frisbee Flight and Rebound Dynamics Based on Frame Conversion and Vector Transformation
DOI:
https://doi.org/10.54097/stfszt82Keywords:
Frisbee, Rebound, Rigid body dynamics, Attitude dynamics.Abstract
Frisbee is a kind of sports equipment in an airfoil shape that can glide in the air for throw and catch. The Frisbee-like unmanned aerial vehicles have potential as the next generation aircraft. This paper is the first one to investigate the touchdown dynamics of the Frisbee to the best of the author’s knowledge. The numerical simulation of Frisbee is developed based on rigid body dynamics and aerodynamic database from existing experiments. The moment of inertia of Frisbee is determined using the three-wire pendulum method. The Frisbee is launched by a launcher and the motion is recorded by two cameras. A frame-by-frame analysis of recorded flight video using the software tracker provides the linear velocities, position, and other dynamic parameters before and after touchdown. A comparison between experimental measurement and numerical simulation results is done. The results demonstrate that the established model captures the influence of aerodynamic forces and self-spinning of Frisbee during flight and rebound. The future directions that this research might be extended and applied are discussed.
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References
Bloomfield L A. The flight of the frisbee. Scientific American, 280(4):132–132, 1999.
Wie B. Space vehicle dynamics and control. Aiaa, 1998.
Stilley G D Carstens D L. Adaptation of the frisbee flight principle to delivery of special ordnance. In 2nd Atmospheric Flight Mechanics Conference, page 982, 1972.
Potts J R Crowther W J. Frisbee (TM) aerodynamics. In 20th AIAA applied aerodynamics conference, page 3150, 2002.
Lorenz R D. Spinning Flight: Dynamics of Frisbees, Boomerangs, Samaras, and Skipping Stones. Springer, 2006.
Miller I A Giancoli D C. Physics: principles with applications. Prentice Hall Upper Saddle River, NJ, USA:, 1998.
Nagahiro S Hayakawa Y. Theoretical and numerical approach to “magic angle” of stone skipping. Physical review letters, 94(17):174501, 2005.
Clanet C Hersen F, Bocquet L. Secrets of successful stone-skipping. Nature, 427(6969):29–29, 2004.
Hubbard M Hummel S. Identification of Frisbee aerodynamic coefficients using flight data. volume 20, 2002.
Hubbard M Hummel S A. Simulation of Frisbee flight. 5th Conference on Mathematics and Computers in Sport, University of Technology, Sydney, pages 124–134, 2000.
Baumback K. The aerodynamics of frisbee flight. Undergraduate Journal of Mathematical Modeling, 2010.
Yasuda K. Flight and aerodynamic characteristics of a flying disk. Japanese Soc. Aero. Space Sci, 47(547):16–22, 1999.
Kamaruddin N M. Dynamics and performance of flying discs. The University of Manchester (United Kingdom), 2011.
Landell-Mills N. Newtons laws explain how Frisbees fly. European Journal of Applied Physics, 2(4), 2020.
Crowther W J Potts J R. Simulation of a spinstabilised sports disc. Sports Engineering, 10(1):3–21, 2007.
Morrison V R. The physics of Frisbees. Electronic Journal of Classical Mechanics and Relativity, 8(48), 2005.
Sharma S Siddiqui Y, et. al. Design and manufacturing of Frisbee launching robot. International Journal of Current Engineering and Technology, 2017.
Weizman Y Tan A M. Measurement of flight dynamics of a frisbee using a triaxial mems gyroscope. 49(1): 66, 2020.
Mosca G Tipler P A. Physics for scientists and engineers. Macmillan, 2007.
Beard R W. Quadrotor dynamics and control. Brigham Young University, 19(3): 46–56, 2008.
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