Application of mechanical analysis in table tennis flight simulation based on the differential model

被引:0
作者
Du, Ping [1 ]
机构
[1] Xi'an Physical Education University
关键词
Differential equation model; Magnus force; Matlab trajectory simulation;
D O I
10.3923/itj.2013.2990.2994
中图分类号
学科分类号
摘要
In order to push table tennis into more cutting-edge area, we need to conduct sound research and simulation for the flying condition of table tennis in the air. This study analyzes the force characteristic of objects moving in the air and establishes differential equation model of three force conditions for the characteristics of table tennis, namely the flight model of table tennis only by gravity, the flight model of table tennis only by gravity and air resistance, as well as the flight model of table tennis only by gravity and air resistance and Magnus force. The research results: For the table tennis flight condition of the first model and the third model it conducts Matlab trajectory situation and achieves good simulation results. The model and simulation methods established in this study provide a theoretical basis for the flight conditions of table tennis in the air and provide a model-based simulation for the movement. © 2013 Asian Network for Scientific Information.
引用
收藏
页码:2990 / 2994
页数:4
相关论文
共 8 条
[1]  
Chen L., Mechanic principle of backhand inside twists technique in table tennis, J. Shandong Inst. Phys. Educ. Sports, 2, pp. 95-96, (2007)
[2]  
Fan Y., Statistical analysis based on gray system theory basketball team scores its technical indicators associated, Int. J. Applied Math. Stat., 44, pp. 185-192, (2013)
[3]  
Liu Y., The establishment of hierarchical model for basketball defensive quality, Int. J. Applied Math. Stat, 44, pp. 245-252, (2013)
[4]  
Sun Z., Aerodynamic principles of table tennis loop and numerical analysis of its flying route, China Sport Sei., 28, pp. 69-71, (2008)
[5]  
Wang H., Yang S., An analysis of hurdle performance prediction based on mechanical analysis and gray prediction model, Int. J. Applied Math. Stat, 39, pp. 243-250, (2013)
[6]  
Yang H., Guan Z.M., Simulation of ping-pong trajectory based on ODE, Comput. Simulât., 28, pp. 230-232, (2011)
[7]  
Yang H., Evaluation model of physical fitness of young tennis athletes based on AHP-TOPSIS comprehensive evaluation, Int. J. Applied Math. Stat, 39, pp. 188-195, (2013)
[8]  
Zhang B., Dynamics mathematical model and prediction of long jump athletes in Olympics, Int. J. Applied Math. Stat, 44, pp. 422-430, (2013)