[论文解读] Shuttlecock velocity decay after smash and slice shots in badminton
论文通过高速视频分析羽毛球发扣与切击后羽球速度衰减,显示速度呈指数衰减、飞行时间随距离增长符合高阻力模型,并识别羽毛与塑料羽轴的差异以及旋转的影响。
This paper reports on the decay in shuttlecock velocity after smash and slice shots performed by elite and international players, based on the analysis of videos captured on a badminton court with high-speed cameras. The trajectories of feather shuttlecocks show an exponential decay in velocity and an exponential increase in time-of-flight with distance, in accordance with the equation of motion of a shuttlecock subjected to high drag. The initial speed, which can exceed 500 km/h, is reduced by half every 3.35 m, depending on the physical parameters of the shuttlecock characterized by a speed index. The videos show that plastic shuttlecocks, which are more resistant than feather shuttlecocks, deform at high speeds. The resulting decay of their drag coefficient with increasing speed makes them unsuitable for high-level play. The study also shows that the spin induced by the slice shots of left-handed players or the reverse slice shots of right-handed players slows the shuttlecock down.
研究动机与目标
- Investigate how shuttlecock velocity decays after smash and slice shots in elite badminton play.
- Characterize the drag-driven motion of shuttlecocks and its relation to flight time.
- Assess differences between feather and plastic shuttlecocks under high-speed impacts.
- Examine how spin from slice shots influences deceleration of the shuttlecock.
提出的方法
- Analyze video data captured on a badminton court with high-speed cameras of elite and international players.
- Model shuttlecock motion as a drag-dominated system with exponential decay in velocity.
- Estimate a speed index to characterize shuttlecock dynamics and quantify decay intervals.
- Compare behaviors of feather versus plastic shuttlecocks under high-speed conditions.
- Identify spin effects from slice shots on deceleration of the shuttlecock.
实验结果
研究问题
- RQ1What is the form of shuttlecock velocity decay after smash and slice shots in high-level badminton?
- RQ2How does shuttlecock type (feather vs plastic) affect drag coefficients and decay rate?
- RQ3How does spin induced by slice shots influence shuttlecock deceleration?
- RQ4What initial speeds are observed and how quickly do they reduce over distance?
- RQ5How does the travel time (time-of-flight) evolve with distance for decelerating shuttlecocks?
主要发现
- Shuttlecock velocity decays exponentially with distance after smash and slice shots.
- Time-of-flight increases exponentially with distance.
- Initial speeds can exceed 500 km/h and halve roughly every 3.35 m.
- Plastic shuttlecocks deform at high speeds and show drag coefficient changes that reduce usefulness for high-level play.
- Slice-induced spin, especially from left-handed or reverse slice shots, slows the shuttlecock.
- Decay behavior aligns with a drag-dominated motion model for high-speed shuttlecocks.
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