跳台跳水的物理模型分析和体型修正

Physical Model Analysis and Body Shape Modification of Platform Diving

通过建立Euler-Poinsot刚体运动模型,模拟人体在跳台跳水时的运动情况.并且在此基础上建立左右非对称和前后非对称的运动模型,用于模拟复杂的转体跳水和屈体抱膝跳水.运动刚体模型详述了旋运动的动力学原理并导出各物理参数之间定量关系,能够求解模型得出运动员完成各个跳水动作的时间,进而得出该时间与运动员体型(身高,体重)之间的关系.随后设置了体型扰动因子,解析与身高、体重及体型扰动因子有关的体型校正系数,求解了体型校正公式用于所有跳水动作难度系数的修正.通过与现有的难度系数打分规则对比,模型不仅真实有效,还在部分动作上更具有公平性.

In this paper,Euler-Poinsot rigid body motion model is established to simulate the movement of human body in platform diving.On the basis of this,the left-right asymmetric and the forward-backward asymmetric motion models are also established,which can be used to simulate the complex twisting diving and tuck position diving.Our rigid body model details the dynamic principle of rotational motion and derives the quantitative relationship between each physical parameter.It can solve the model to obtain the time when athletes complete each diving action,and then obtain the relationship between this time and athletes’body shape(height,weight).Furthermore,the body shape disturbance factor was set up to analyze the body shape correction coefficient related to the height,weight and body shape disturbance factor,and the body shape correction formula was solved for correcting the difficulty coefficient of all diving actions.Compared with the existing scoring rules of diving difficulty coefficient,our model is not only credible and effective,but also more fair in some actions.