Department of Materials Science and Engineering, Ghent University, Ghent, Belgium.
J Sports Sci. 2011 Aug;29(11):1201-13. doi: 10.1080/02640414.2011.587443. Epub 2011 Jul 22.
In this study, we develop a finite element model to examine the oblique soccer ball bounce. A careful simulation of the interaction between the ball membrane and air pressure in the ball makes the model more realistic than analytical models, and helps us to conduct an accurate study on the effect of different parameters on a bouncing ball. This finite element model includes a surface-based fluid cavity to model the mechanical response between the ball carcass and the internal air of the ball. An experimental set-up was devised to study the bounce of the ball in game-relevant impact conditions. Ball speed, angle, and spin were measured before and after the bounce, as well as ball deformation and the forces during the impact. The finite element model has been validated with three different sets of data, and the results demonstrate that the finite element model reported here is a valuable tool for the study of ball bounce. After validation of the model, the effect of the friction coefficient on soccer ball bounce was studied numerically. Simulation results show that increasing the friction coefficient may result in reversal of the horizontal impact force.
在这项研究中,我们开发了一个有限元模型来研究斜向足球反弹。仔细模拟球膜与球内气压之间的相互作用使模型比解析模型更逼真,并帮助我们对不同参数对反弹球的影响进行准确研究。这个有限元模型包括一个基于表面的流腔,以模拟球皮和球内空气之间的力学响应。设计了一个实验装置来研究球在与比赛相关的冲击条件下的反弹。在反弹前后测量了球的速度、角度和旋转,以及球的变形和冲击过程中的力。该有限元模型已经通过三组不同的数据进行了验证,结果表明,这里报告的有限元模型是研究球反弹的有价值的工具。在模型验证之后,数值研究了摩擦系数对足球反弹的影响。模拟结果表明,增加摩擦系数可能导致水平冲击力的反转。