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Title: Characterisation of football trajectories for assessing flight performance
Authors: Ward, Matthew
Passmore, Martin A.
Spencer, Adrian
Tuplin, Simon
Harland, Andy R.
Keywords: Football
Soccer ball
Aerodynamics
Ball performance
Flight characterisation
Orientation sensitivity
Issue Date: 2018
Publisher: SAGE Institution of Mechanical Engineers
Citation: WARD, M ... et al., 2018. Characterisation of football trajectories for assessing flight performance. Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology, 233 (1), pp.16-26.
Abstract: Much discussion surrounds the flight of association footballs (soccer balls), particularly where the flight may be perceived as irregular. This is particularly prevalent in high profile competitions due to increased camera coverage and public scrutiny. Footballs do not all perform in an identical manner in-flight. This paper develops methods to characterise the important features of flight, enabling direct, quantitative comparisons between ball designs. The system used to generate the flight paths included collection of aerodynamic force coefficient data in a wind tunnel, which were input into a flight model across a wide range of realistic conditions. Parameters were derived from these trajectories to characterise the in-flight deviations across the range of flights from which the aerodynamic performance of different balls were statistically compared. The amount of lateral movement in-flight was determined by calculating the final lateral deviation from the initial shot vector. To quantify the overall shape of the flight, increasing orders of polynomial functions were fitted to the flight path until a good fit was obtained with a high order polynomial indicating a less consistent flight. The number of inflection points in each flight was also recorded to further define the flight path. The orientation dependency of a ball was assessed by comparing the true shot to a second flight path without considering orientation dependent forces. The difference between these flights isolated the effect of orientation dependent aerodynamic forces. The paper provides the means of quantitatively describing a ball’s aerodynamic behaviour in a defined and robust mathematical process. Conclusions were not drawn regarding which balls are good and bad; these are subjective terms and can only be analysed through comprehensive player perception studies.
Description: This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://www.creativecommons.org/licenses/by/4.0/) which permits any use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage).
Sponsor: This work was supported by the Engineering and Physical Sciences Research Council.
Version: Published
DOI: 10.1177/1754337118774414
URI: https://dspace.lboro.ac.uk/2134/33347
Publisher Link: https://doi.org/10.1177/1754337118774414
ISSN: 1754-3371
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)
Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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