桌球不同弧圈球軌跡數值模擬與分析.

To comply with the government's sports policy, schools at all levels and localities have systematically and actively promoted the game of table tennis, which has become one of the most popular sports in Taiwan. Loop ball is a current table tennis practice method that can improve table tennis skills. Players who master the techniques associated with loop ball can improve their fine scoring skills in table tennis. Therefore, the main purpose of this study was to establish a model for quantifying the flight speed and trajectory of the looping ball. Methods: A closed-form set of sixvariable nonlinear control equations was established to estimate the movement of a table tennis ball. Numerical calculations were conducted using the high-precision Runge-Kutta-Feiberg method, and differences between trajectories and key kinematic properties were discussed. Results: The results of the study found that side-spin drive generates more lateral Magnus force due to the lateral rotation rate than the other two loops. The lateral deviation of the landing point can reach 0.21 meters, with an offset angle of approximately 8.07°. A ball with a faster initial rotation of the sphere that was hit from a more outside contact point will fall faster with a drop point closer to the end of the table, increasing the amount of side deviation. Conclusion: This study quantitatively compared the degree of lateral deviation and drop in response to various angular side-spin rates relative to the initial position of the ball at the point of contact. In the future, this model can also be applied to calculations of table tennis ball movement characteristics under various conditions or circumstances. [ABSTRACT FROM AUTHOR]