羽毛球运动稳定性判据

具有动态稳定性的羽毛球是保证羽毛球稳定飞行旋转以及控制好飞行落点的重要条件之一,但实际中的羽毛球运动是比较复杂的。为了揭示羽毛球运动的物理现象。通过建立所有刻画羽毛球运动时变参数的羽毛球飞行旋转运动数学模型,并结合李雅普诺夫运动稳定性定义,给出羽毛球运动稳定性的数学定义;同时对影响羽毛球运动稳定性的原因进行研究。通过分析得到羽毛球组成要素对其稳定性影响的关系式、羽毛球运动稳定性的判定条件以及判定条件的适应范围。经计算,判断结果与实验测试结果一致。

Criteria for the dynamic stability of badminton

Dynamic stability of badminton is one of the important conditions to ensure stable rotation and control the landing point, but in practice the badminton motion is more complex. In order to reveal the physical phenomenon of badminton sport, this article establishes a mathematical model for badminton flight rotational about all time-varying parameters of badminton movement, and combined with the stability definition of Lyapunov motion, the mathematical definition for the stability of badminton movement is given; and further research the reasons which influence the stability of badminton movement. By analyzing, it can be derived the relationship of badminton composition factors influence on the stability of badminton, criterion of badminton movement stability, and also point out the criterion range. Through calculation, the judgement results are consistent with the experiment results.