“同心协力”策略研究  

The Strategy of "Play Volleyball on a Drum"

作　　者：毛紫阳 王丹[1] 吴孟达[1] MAO Ziyang;WANG Dan;WU Mengda(College of Liberal Arts and Science,National University of Defense Technology Changsha,Hunan 410073,China)

机构地区：[1]国防科技大学文理学院,湖南长沙410073

出　　处：《数学建模及其应用》2020年第1期40-48,共9页Mathematical Modeling and Its Applications

基　　金：国防科技大学数学建模创新实践基地资助项目。

摘　　要：针对"同心协力"拓展项目中队员的协同控制问题,建立了在理想条件下的最优策略模型,以及在非精确控制条件下的鼓面倾斜模型,讨论了稳定性要求对最优策略的影响,给出当球跳动方向偏离竖直方向后,鼓的控制方法及效果.最后对2019年"高教社杯"全国大学生数学建模竞赛B题的参赛论文予以简要评述.In this paper,the optimal collaboration strategy of the"Play volleyball on a drum"team under ideal conditions is built.The model of drum inclination is established under imprecise control.Then,the impact of stability on the optimal strategy under realistic conditions is discussed.And the method of controlling the drum when the ball′s jumping direction deviates from the vertical direction is provided.Finally,a brief review of the students′papers submitted for Problem B in CUMCM 2019 is given.

关 键 词：刚体运动 牛顿第二定律 常微分方程 牛顿-欧拉运动方程 

分 类 号：O29[理学—应用数学]