Dynamical Model with Application to the Analysis of the Sweet Spot on a Baseball Bat

DOI: 10.4236/ajcm.2015.54040   PDF   HTML   XML   4,260 Downloads   4,786 Views   Citations


In this paper, we analyze the effect on the ball-bat model of corking the bat, and investigate the relationship between the sweet spot and different materials. First and foremost, we develop a simple but effective theoretical model to give a rough estimate for the sweet spot of the bat. Second, we give a simplified abstract form of bat which facilitates the description and modeling study. Last but not least, according to different material caused rotary inertia and different recovery coefficient, researches on the different material hitting effect were made.

Share and Cite:

Cheng, L. and Ku, Z. (2015) Dynamical Model with Application to the Analysis of the Sweet Spot on a Baseball Bat. American Journal of Computational Mathematics, 5, 458-467. doi: 10.4236/ajcm.2015.54040.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Adair, R.K. (1994) The Physics of Baseball. HarperCollins, New York.
[2] Brody, H. (1990) Models of Baseball Bats. American Journal of Physics, 58, 756-758.
[3] Bower, R.G. (2012) The Sweet Spot of a Cricket Bat for Low Speed Impacts. Sports Engineering, 15, 53-60.
[4] Bower, R.G. and Sinclair, P. (2007) Tennis Racket Stiffness, String Tension and Impact Velocity Effects on Post-Impact Ball Angularvelocity. Sports Engineering, 10, 111-122.
[5] Broe, M., Sherwood, J. and Drane, P. (2010) Experimental Study of the Evolution of Composite Baseball Bat Performance. Procedia Engineering, 2, 2653-2658.
[6] Choppin, S. (2013) An Investigation into the Power Point in Tennis. Sports Engineering, 16, 173-180.
[7] Cross, R. (1998) The Sweet Spot of a Baseball Bat. American Journal of Physics, 66, 772-779.
[8] Cross, R. (2011) Physics of Baseball and Softball. Springer, New York.
[9] Cross, R. (2014) Impact of Sports Balls with Striking Implements. Sports Engineering, 17, 3-22.
[10] Cross, R. and Nathan, A. (2009) Performance versus Moment of Inertia of Sporting Implements. Sports Technology, 2, 7-15.
[11] Greenwald, R.M., Penna, L.H. and Crisco, J.J. (2001) Differences in Batted Ball Speed with Wood and Aluminum Baseball Bats: A Batting Cage Study. Journal of Applied Biomechanics, 17, 241-252.
[12] Handee, S.P., Greenwald, R.M. and Crisco, J.J. (1998) Static and Dynamic Properties of Various Baseballs. Journal of Applied Biomechanics, 14, 390-400.
[13] King, K., Hough, J., McGinnis, R. and Perkins, N.C. (2012) A New Technology for Resolving the Dynamics of a Swinging Bat. Sports Engineering, 15, 41-52.
[14] Miller, S. (2006) Modern Tennis Rackets, Balls and Surfaces. British Journal of Sports Medicine, 40, 401-405.
[15] Mustone, T.J. (1996) A Method to Evaluate and Predict the Performance of Baseball Bats Using Finite Elements. University of Massachusetts, Lowell.
[16] Nathan, A.M. (2000) Dynamics of the Baseball-Bat Collision. American Journal of Physics, 68, 979-990.
[17] Nicholls, R.L., Miller, K. and Elliott, B.C. (2006) Numerical Analysis of Maximal Bat Performance in Baseball. Journal of Biomechanics, 39, 1001-1009.
[18] Russell, D.A. (2004) Physics and Acoustics of Baseball & Softball Bats. PhD Thesis, Science & Mathematics Department, Kettering University, Flint.
[19] Smith, L.V. (2014) Hygrothermal Effects of Baseballs and Softballs. Sports Engineering, 17, 123-130.
[20] Stretch, R., Brink, A. and Hugo, J. (2005) A Comparison of the Ball Rebound Characteristics of Wooden and Composite Cricket Bats at Three Approach Speeds. Sports Biomechanics, 4, 37-45.
[21] Van, Z.L. (1992) The Dynamical Theory of the Baseball Bat. American Journal of Physics, 60, 172-181.
[22] William, F. and Leroy, D. (1993) Engineering Mechanics: Dynamics. John Wiley and Sons, New York.
[23] Yee, J., Sherwood, J.A. and Fitzgerald, S. (2014) Batted-Ball Performance of a Composite Softball Bat as a Function of Ball Type. Procedia Engineering, 72, 465-470.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.