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Novel mathematical model to estimate ball impact force in soccer
Authors:Takahito Iga  Hiroyuki Nunome  Shinya Sano  Nahoko Sato  Yasuo Ikegami
Institution:1. Faculty of Sports and Health Science, Fukuoka University, Fukuoka, Japan;2. Department of Cross Cultural Studies, Gifu City Women’s College, Gifu, Japan;3. Faculty of Rehabilitation Science, Department of Physical Therapy, Nagoya Gakuin University, Seto, Japan;4. Faculty of Health and Medical Sciences, Aichi Shukutoku University, Nagakute, Japan
Abstract:To assess ball impact force during soccer kicking is important to quantify from both performance and chronic injury prevention perspectives. We aimed to verify the appropriateness of previous models used to estimate ball impact force and to propose an improved model to better capture the time history of ball impact force. A soccer ball was fired directly onto a force platform (10 kHz) at five realistic kicking ball velocities and ball behaviour was captured by a high-speed camera (5,000 Hz). The time history of ball impact force was estimated using three existing models and two new models. A new mathematical model that took into account a rapid change in ball surface area and heterogeneous ball deformation showed a distinctive advantage to estimate the peak forces and its occurrence times and to reproduce time history of ball impact forces more precisely, thereby reinforcing the possible mechanics of ‘footballer’s ankle’. Ball impact time was also systematically shortened when ball velocity increases in contrast to practical understanding for producing faster ball velocity, however, the aspect of ball contact time must be considered carefully from practical point of view.
Keywords:Football  kicking  ball reaction force  collision  validation check
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