On the wave propagations of football game ball after contacting with the player foot
Lei Sun,Cancan Wei,Fei Liu,Lijun Wang,Bo Ren
Abstract
Wave propagation with high transverse deflection could affect the stability of the ball in its trajectory. For low stiffness balls similar to soccer and volleyball balls, the waves are more noticeable in comparison to other balls like ping-pong ball. On the other hand, the soccer balls are under heavy impact loads from shoots and contacting different objects in the field. The maximum recorded speed of a soccer ball after kicking is the 211 km/hr and the average maximum speed is around 112 km/hr. Therefore, in such speeds the aerodynamic forces become important which are directly related to geometrical shape of the ball. In this regard, the wave propagation in soccer ball is examined in the current study using large deformation shear deformable formulations. Classical relations of stress-strain components are taken into consideration along with minimum total energy principle. The final derived relations were solved by using harmonic differential quadrature method. The results are generally presented ion term of phase velocity as function of different influencing parameters of the materials, geometry and mass of the ball.
Key Words
analytical analysis; contact; football game ball; vibration; wave propagation
Address
Lei Sun and Cancan Wei — Physical Education College of Jilin University, Changchun 130000, Jilin, China
Fei Liu — Department of Public Physical, Changchun Humanities and Sciences College, Changchun 130117, Jilin, China
Lijun Wang — International College, krirk university, Bangkok 10220, Thailand; Wuchang University of Technology, Wuhan 430000, Hubei, China
Bo Ren — School of Economics and Management Shanghai University of Sport, Shanghai 200438, China
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