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A curve fitting methodology to determine impact location, timing, and instantaneous post-impact ball velocity in cricket batting

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posted on 28.07.2017, 12:31 by Chris Peploe, Stuart A. McErlain-Naylor, Andy Harland, Fred Yeadon, Mark King
This study aimed to develop a methodology for accurate determination of the impact location of a cricket ball on the bat face, as well as the identification of bat-ball contact timing and post-impact instantaneous ball velocity in a whole body kinematic data collection environment. Three-dimensional kinematic data of bat and ball were recorded during fourteen batting strokes; eight hitting a static ball and six against a bowling machine. Curves were fitted separately to the pre- and post-impact phases of the ball position data against time in three axes according to logarithmic equations determined from mechanical principles. Separate Fourier series models were similarly fitted to the four corners of the bat face against time during the downswing prior to ball impact. Time of impact for the dynamic ball trials was determined based upon the intersection of pre- and post-impact curves, with impact location calculated from ball and bat face curves at this time. R2 values for the goodness of fit of the ball and bat curves averaged 0.99 ± 0.04 and 1.00 ± 0.00 with root mean square errors of 7.5 ± 2.6 and 0.8 ± 0.2 mm, respectively. Calculated impact locations were assessed against measured impact locations derived from the impression imparted to a fine powder coating on the bat face, finding absolute differences of 6.4 ± 4.2 and 7.1 ± 4.4 mm in the transverse and longitudinal axes of the bat, respectively. Thus, an automated curve fitting methodology enables the accurate determination of cricket bat-ball impact characteristics for use in experimental investigations.

Funding

This project was part-funded by the England and Wales Cricket Board (ECB).

History

School

  • Sport, Exercise and Health Sciences

Published in

Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology

Citation

PEPLOE, C. ...et al., 2018. A curve fitting methodology to determine impact location, timing, and instantaneous post-impact ball velocity in cricket batting. Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology, 232(3), pp. 185-196.

Publisher

SAGE Journals (© IMechE)

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

16/06/2017

Publication date

2017-08-10

Notes

This paper was accepted for publication in the journal Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology and the definitive published version is available at https://doi.org/10.1177/1754337117723275.

ISSN

1754-3371

Language

en

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