Sports Engineering

, Volume 9, Issue 1, pp 39–47 | Cite as

A dynamic model of the head acceleration associated with heading a soccer ball



This study develops a dynamic model of head acceleration, which incorporates physiologically related neck muscle contributions, to further the understanding of the mechanical behaviour of the head-neck system during soccer heading. An inverted pendulum is combined with a linear visco-elastic element to model the head-neck system following a half-sine input force. Model parameter values were varied to obtain agreement with previously published experimental data (Naunheimet al., 2003), and were subsequently compared to literature values. The model predicted the same mechanical angular kinematics as observed experimentally both during and post impact. The greatest acceleration was in the anterior direction at the instant the ball left the head, attributed to the elastic stiffness of the neck musculature. The head-neck stiffness and damping coefficients determined from the model (350 N m rad-1 and 4 N m s rad-1, respectively) were similar to those reported elsewhere when subjects were asked to resist maximally. The model may be subsequently used to investigate differences in technique and ability with respect to the salient model parameters to further our biomechanical understanding of soccer heading.


biomechanics acceleration modelling soccer heading 


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  1. Bauer, J.A., Thomas, T.S., Cauraugh, J.H., Kaminski, T.W. & Haas, C.J. (2001) Impact forces and neck muscle activity in heading by collegiate female soccer players.Journal of Sports Sciences,19, 171–179.CrossRefGoogle Scholar
  2. Bogduk, N. & Mercer, S. (2000) Biomechanics of the cervical spine. I: Normal kinematics.Clinical Biomechanics,15, 633–648.CrossRefGoogle Scholar
  3. Burslem, I. & Lees, A. (1988) Quantification of impact accelerations of the head during the heading of a football. In:Science and Football (eds T. Reilly, A. Lees, K. Davids & W.J. Murphy), pp. 243–248. E & FN Spon, London, UK.Google Scholar
  4. Chandler, R. F., Clauser, C. E., McConville, J. T., Reynolds, H. M. & Young, J. W. (1975) Investigation of inertial properties of the human body. AMRL-TR-74-137, AD-A016-485. DOT-HS-801-430. Aerospace Medical Research Laboratories, Wright-Patterson Air Force Base, Ohio, USA.Google Scholar
  5. De Ruiter, C.J., Didden, W.J.M., Jones, D.A. & De Haan, A. (2000) The force-velocity relationship of human adductor pollicis muscle during stretch and the effects of fatigue.Journal of Physiology, 526.3, 671–681.CrossRefGoogle Scholar
  6. Edman, K.A.P., Elzinga, G. & Noble, M.I.M. (1978) Enhancement of mechanical perfomance by stretch during tetanic contractions of vertebrate skeletal muscle fibres.Journal of Physiology,281, 139–155.Google Scholar
  7. Goldsmith, W. & Plunkett, J. (2004) A biomechanical analysis of the causes of traumatic brain injury in infants and children.The American Journal of Forensic Medicine & Pathology,25, 2, 89–100.CrossRefGoogle Scholar
  8. Kartal, A., Yildiran, I., Senköylu, A & Korkusuz, F. (2004) Soccer causes degenerative changes in the cervical spine.European Spine Journal,13, 76–82.CrossRefGoogle Scholar
  9. Kirkendall, D.T., Jordan, S.E. & Garrett, W.E. (2001) Heading and head injuries in soccer.Sports Medicine,31, 369–386.CrossRefGoogle Scholar
  10. Levendusky, T.A., Armstrong, C.W., Eck, J.S., Jeziorowski, J. & Kugler, L. (1988) Impact characteristics of two types of soccer balls. In:Science and Football (eds T. Reilly, A. Lees, K. Davids and W.J. Murphy), pp. 385–393. E & FN Spon, London, UK.Google Scholar
  11. Matser, J.T., Kessels, A.G.H., Lezak, M.D., Jordan, B.D. & Troost, J. (1999) Neuropsychological impairment in amateur soccer players.Journal of the American Medical Association,282, 971–973.CrossRefGoogle Scholar
  12. McCrory, P. (2003) Brain injury and heading in soccer.British Medical Journal,327, 351–352.CrossRefGoogle Scholar
  13. Naunheim, R.S., Bayly, P.V., Staneven, J., Neubauer, J.S., Lewis, L.M. & Genin, G.M. (2003) Linear and angular head accelerations during heading of a soccer ball.Medicine & Science in Sports & Exercise,35, 1406–1412.CrossRefGoogle Scholar
  14. Noble, M.I.M. (1992) Enhancement of mechanical performance of striated muscle by stretch during contraction.Experimental Physiology,77, 539–552.Google Scholar
  15. Queen, R.M., Weinhold, P.S., Kirkendall, D.T. & Yu, B. (2003) Theoretical study of the effect of ball properties on impact force in soccer heading.Medicine & Science in Sports & Exercise,35, 2069–2076.CrossRefGoogle Scholar
  16. Reid, S.E., Raviv, G., & Reid, S.E. Jr (1981) Neck muscle resistance to head impact.Aviation, Space & Environmental Medicine,52, 2, 78–84.Google Scholar
  17. Schneider, K. & Zernicke, R.F. (1988) Computer simulation of head impact: Estimation of head-injury risk during soccer heading.International Journal of Sports Biomechanics,4 358–371.Google Scholar
  18. Stålnacke, B.-M., Tegner, Y & Sojka, P. (2004) Playing soccer increases serum concentrations of the biochemical markers of brain damage S-100B and neuron specific enolase in elite players: a pilot study.Brain Injury,18, 899–909.CrossRefGoogle Scholar
  19. Tierney, R.T., Sitler, M.R., Buz Swanik, C., Swanik, K.A., Higgins, M. & Torg, J. (2005) Gender differences in head-neck segment dynamic stabilization during head acceleration.Medicine & Science in Sports & Exercise,37, 272–279.CrossRefGoogle Scholar
  20. Tysvaer, A.T. & Storli, O. (1981) Association football injuries to the brain: a preliminary report.British Journal of Sports Medicine,15, 163–166.CrossRefGoogle Scholar
  21. Tysvaer, A.T. & Lochen, E.A. (1991) Soccer injuries to the brain. A neuropsychological study of former soccer players.American Journal of Sports Medicine,19, 56–60.CrossRefGoogle Scholar
  22. Webbe, F.M. & Ochs, S.R. (2003) Recency and frequency of soccer heading interact to decrease neurocognitive performance.Applied Neuropsychology,10, 31–41.CrossRefGoogle Scholar
  23. Woltring, H.J., Long, K., Osterbauer, P.J. & Fuhr, A.W. (1994) Instantaneous helical axis estimation from 3D video data in neck kinematics for whiplash diagnostics.Journal of Biomechanics,27, 1415–1432.CrossRefGoogle Scholar

Copyright information

© isea 2006

Authors and Affiliations

  1. 1.Department of Applied PhysiologyUniversity of StrathclydeUK

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