International Journal of New Developments in Engineering and Society, 2019, 3(4); doi: 10.25236/IJNDES.030413.

## Modeling and Simulating Algorithms for Track of Direct Free-kick in Football Arc

Author(s)

Yueqi Dou, Masato Maeda

Corresponding Author:
Yueqi Dou
Affiliation(s)

School of Human Development and Environment , KOBE University ,Japan

### Abstract

The description of the sports state of soccer in sports is complicated. We analyze the force on the soccer's motion process from two angles of plane and curved surface respectively, and describe its motion track, especially the causes of soccer's arc motion, so as to explain the motion state of balls such as soccer. Football curve ball is also called “banana ball”. In football matches, it can make it difficult for the defending side to make a correct judgment. Therefore, it has a fascinating overall effect in the competition and is a very popular technology in contemporary football technology. On the basis of literature review, the factors such as ejection angle, rotation and air resistance of arc ball are analyzed, and the stress process of football in flight is decomposed.A scientific model was established without considering other secondary factors, and the “hot zone” that can shoot the arc ball was analyzed, and the best shot area of the arc ball was given. At the same time, the football trajectory is simulated. The flight path of the curved ball is reproduced by input parameters to objectively determine whether the soccer ball hits the goal.

### Keywords

Football Curve; Direct Free-kick; Motion Trajectory; Modeling

### Cite This Paper

Yueqi Dou, Masato Maeda. Modeling and Simulating Algorithms for Track of Direct Free-kick in Football Arc. International Journal of New Developments in Engineering and Society (2019) Vol.3, Issue 4: 86-93. https://doi.org/10.25236/IJNDES.030413.

### References

[1] Slota,Adam(2014).Bezier Curve Based Programmed Trajectory for Coordinated Motion of Two Robots in Cartesian Space. Applied Mechanics and Materials, no.555, pp.192-198.
[2] Beh.J, Han.D, Ko.H(2014).Rule-based trajectory segmentation for modeling hand motion trajectory. Pattern Recognition, vol.47,no.4,pp.1586-1601.
[3] Shao.Z, Li.Y(2016).On Integral Invariants for Effective 3-D Motion Trajectory Matching and Recognition.IEEE Transactions on Cybernetics,vol.46, no.2, pp.511-523.
[4] Choi.Y,Kim.D,Hwang.S, et al(2017).Dual-arm robot motion planning for collision avoidance using B-spline curve. International Journal of Precision Engineering and Manufacturing, vol.18, no.6, pp.835-843.
[5] Z.Shao,Y.Li(2015).Integral invariants for space motion trajectory matching and recognition. Pattern Recognition,vol.48, no. 8, pp.2418-2432.
[6] Y. Zhang, H. Xu, W. Ru(2015).A deployment trajectory design method based on the Bezier curves. Journal of Computational and Theoretical Nanoscience, vol. 12, pp. 5288-5296.
[7] C.J. Li, C.L.Liu, G.C.Wang, et al(2014).A Fast Trajectory Planning Algorithm Research for Point-to-Point Motion. Advanced Materials Research, no.940, pp.526-530.
[8] J.Yuan, W.Yao, P.Zhao,et al(2015).Kinematics and trajectory of both-sides cylindrical lapping process in planetary motion type. International Journal of Machine Tools and Manufacture, no.92, pp.60-71.
[9] X.Yang,M. Li(2017).Study on the curvature of the particle motion trajectory in ultra-precision lapping and polishing.Optical Technique,vol.43, no.4, pp.289-293.
[10] Z.Sun,Z.Wang,S.J.Phee(2015).Modeling and motion compensation of a bidirectional tendon-sheath actuated system for robotic endoscopic surgery. Computer Methods and Programs in Biomedicine, vol.119, no.2, pp.77-87.