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．
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 the parameter plane,the general behavior of jumping motion is discussed qualitatively. The dependance of themaximal height after take-off on various faIctors is presented and phenomena observed inpractice of human jumping can be explained theoretically.
出处
《力学学报》
EI
CSCD
北大核心
1994年第4期477-482,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家教委博士学科点专项科研基金
关键词
生物力学
多体动力学
跳跃运动
biomechanics,multibody dynamics,inequality constraint, qualitativetheory,phase plane method
