摘要
为探究运动员跳水完成动作时间与体型的关系,根据角动量守恒原理建立了跳台跳水的运动学模型.首先利用欧拉角描述人体的姿态参数,随后结合旋转矩阵推导各姿态角速度之间的关系;将人体分为9部分,分别计算各动作下的转动惯量;利用微元分析法求解人体姿态参数进而得到运动员完成翻腾转体等动作的完成时间.该运动学模型的建立与分析为跳水动作难度系数的设置提供了参考,为具有腾空类体育动作的运动学参数计算提供了方法.
The kinematic model of athletes for diving platform is established according to the conservation of angular momentum in order to explore the relationship between diving time and body shape.Firstly,the Euler angle is used to describe the posture parameters of the athlete,and the angular velocities are deduced with rotation matrix.The athlete body is divided into nine parts to calculate the moment of inertia.Then,analytic way of differential element is used to calculate the posture parameters of the human body and the completion time of somersault and twist.The kinematics model provides both a reference for setting the difficulty coefficient of diving action and a method for calculating the kinematics parameters of aerial movements.
作者
陈淼
聂飞龙
刘嘉辉
张氢
秦仙蓉
孙远韬
CHEN Miao;NIE Fei-long;LIU Jia-hui;ZHANG Qing;QIN Xian-rong;SUN Yuan-tao(School of Mechanical and Energy Engineering,Tongji University,Shanghai 201804,China)
出处
《数学的实践与认识》
北大核心
2019年第16期26-34,共9页
Mathematics in Practice and Theory
关键词
运动学模型
角动量守恒
微元分析法
体型参数
kinematic model
conservation of angular momentum
analytic way of differential element
body shape parameter
