Yimin Yang and  Di Hu.  Numerical calculation of tennis racket tension and trajectory parameters based on motion differential equation.  Dynamic Systems and Applications 29 (2020) No. 3, 803-811

https://doi.org/10.46719/dsa202029332

ABSTRACT.
The form of the second order differential equation satisfied by the displacement of harmonic motion and its general solution function are deduced and concluded. At the same time, the basic properties of the tennis racket are the basis of the study of tennis, which affect the recovery coefficient of the tennis ball, the deformation of the racket surface and the energy storage. In tennis, the racquet is an extension of the arm. When the racquet is hit, it is transferred to the arm to cause sports injury. In recent years, extensive studies have been carried out on the properties of tennis racket and tennis sport injury, and remarkable progress has been made. However, the existing research methods still have shortcomings, which are mainly shown as follows :(1) the research on the surface stiffness of tennis racket is mainly aimed at specific tennis racket, and does not have universal applicability; (2) there are few studies on the dynamic characteristics of the tennis racket surface. The racket surface is mainly simplified into a spring-damping system. Meanwhile, the experimental equipment has a single function. (3) studies on arm sports injuries focus on biology and medicine, and it is difficult to conduct quantitative analysis on sports injuries in these studies.

Keywords:  Numerical calculation; A tennis racket; Wire tension; Serve trajectory