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中文核心期刊

跳跃运动的定性理论

A QUALITATIVE THEORY OF JUMPING MOTION

  • 摘要: 本文利用四刚体人体模型讨论垂直跳跃运动.以下肢转角为广义坐标,地面支承力对足底作用位置的变化规律为控制函数,将动力学方程化作自治的一阶非线性方程.利用由下肢转动角速度和角加速度组成的相平面内的相轨迹曲线与参数平面内的控制函数曲线定性地讨论起跳运动的一般规律,分析离地后的腾空高度与各种因素之间的关系,从而对跳跃运动的实验现象作出理论解释.

     

    Abstract: A four-seginent model of human body is proposed in this paper for thediscussion of vertical jumping motion. Assuming the rotating angle of legs as the gelleralizedcoordinate, and the variation of the position of the ground reaction force on feet as the controlfunction, the dynanucal equations are deduced to be an autonomous nonlinear equation oflst order. Analysing the phase trajectories in phase planes of angular vefocity and angularacceleration of the leg’s rotation and the curves of control functions in ...

     

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