基于机理分析的同心鼓最佳协作策略模型

The Best Collaboration Strategy Model of Concentric Drum Based on Mechanism Analysis

  • 摘要: 该文针对鼓与球的碰撞过程进行动力学分析,建立了以颠球高度和发力大小为优化目标,以动力学方程为约束条件的最优化模型,并讨论了团队的最优协作策略。在理想状态下,团队的最优协作策略为:团队成员先控制鼓位于同一高度,球下落0.06 s后以44.19 N的力向上提鼓。之后每次当球下落0.004 s时,所有团队成员均以40.01 N的力向上提鼓,相撞后使鼓回到初始位置。在实际情况中,由于发力大小和发力时刻的不确定性,鼓面会发生倾斜,通过对倾斜鼓面受力情况和运动趋势进行分析,发现确保同心鼓尽可能保持水平而不发生倾斜,团队成员的发力时机是更为重要的因素。

     

    Abstract: In this paper, the dynamic analysis of the drum and ball collision process is carried out, the optimization model is established with the height and force of the bouncing ball as the optimization objective and the dynamic equation as the constraint condition, and the best collaboration strategy of the team is discussed. Under ideal conditions, the best collaboration strategy of the team is as follows: first, the team members control the drum to be located at the same definite height, and then the ball drops 0.06 s before the drum is lifted with 44.19 N force. After that, each time the ball falls 0.004 s, all members lift the drum with a force of 40.01 N, and the drum may return to its original position after collision. In practice, the drumhead may tilt due to the uncertainty of performance intensity and when to lift. By analyzing the forces and movement trend of the tilting drum, it is found that the performance timing of the team members is a more important factor to ensure that the “concentric drum” stays level as far as possible without tilting.

     

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