基于碰撞模型的罚篮过程分析  

ANALYSIS OF THE FREE THROW PROCESS BASED ON A COLLISION MODEL

作　　者：姜洪舟 张雄[1] JIANG Hongzhou;ZHANG Xiong(School of Aerospace Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《力学与实践》2024年第4期836-843,共8页Mechanics in Engineering

摘　　要：罚篮是篮球比赛中重要的得分手段,分析罚篮最优出手参数能对提高命中率提供指导。本文建立了考虑重力、空气浮力、空气阻力的篮球自由飞行模型和基于恢复系数与Whittaker假定的摩擦斜碰撞模型,利用Matlab编程代入具体参数进行计算,得出了给定出手高度下罚篮总进球域和空心进球域,发现并解释了总进球域对出手速度不连续、增加出手高度有利于进球的现象,并给出最优出手角度为62.5°左右。Free throw is an important way to get points in the basketball match.Analysis of the optimal release parameters provides guidance to enhance the hit rate in the free throw process.In this study,a free flight model considering gravity,air buoyancy and air resistance as well as a friction oblique collision model based on the recovery coefficient and Whittaker’s assumption is proposed.The total shot ranges and swish shot ranges are obtained,and the discontinuity of the total shot ranges against the release speed is explained as well.We also interprete the advantages of increasing release height and obtain an optimal releasing angle of 62.5°.

关 键 词：篮球 罚篮 碰撞模型 最优出手角度 

分 类 号：O313.4[理学—一般力学与力学基础]