a Graduate Program in Acoustics , The Pennsylvania State University , University Park , PA , USA.
J Sports Sci. 2018 Dec;36(23):2644-2652. doi: 10.1080/02640414.2018.1462578. Epub 2018 Apr 11.
The sound resulting from the impact of a table tennis racket and ball can influence a player's perception of equipment quality in addition to providing clues to personal performance. This study explores the vibrational modes of both racket and ball and how those modes contribute to the impact sound. Experimental modal analysis reveals that the racket exhibits a large number of structural vibration modes typical of elliptical plates. Acoustic analysis reveals that two of those structural modes dominate the sound produced by the ball-paddle impact. The rubber padding provides some damping and a significant mass loading to the racket vibrations. The hollow cellulose nitrate balls exhibit vibrational modes typical of a hollow spherical shell, starting with frequencies around 5920 Hz. Experimental frequencies confirm theoretical and computational models. However, the contact time between racket and ball is long enough that the lowest acoustic modes of the ball do not contribute to the radiated sound. Instead, acoustic analysis suggests that the ball appears to radiate sound at a much higher frequency sound (8.5-12 kHz) most likely due to snap-through after buckling common to spherical shells undergoing deformation while impacting a rigid surface at high speeds.
乒乓球拍和球撞击产生的声音除了为个人表现提供线索外，还会影响运动员对器材质量的感知。本研究探讨了球拍和球的振动模式，以及这些模式如何对撞击声产生影响。实验模态分析表明，球拍表现出大量典型的椭圆形板的结构振动模式。声学分析表明，其中两个结构模式主导着球与球拍撞击产生的声音。橡胶衬垫为球拍振动提供了一些阻尼和显著的质量负载。空心硝酸纤维素球表现出典型的空心球形壳的振动模式，起始频率约为 5920Hz。实验频率证实了理论和计算模型。然而，球拍和球之间的接触时间足够长，以至于球的最低声学模式不会对辐射声产生贡献。相反，声学分析表明，球似乎以更高的频率（8.5-12kHz）辐射声音，这很可能是由于在高速撞击刚性表面时，常见于球形壳的屈曲后屈曲导致的。
