跳台跳水体型校正系数的建模分析

Model and Analysis for Body Shape Correction Coefficient of Platform Diving

针对运动员的体型对跳台跳水动作完成时间的影响,在原有跳水难度系数计算规则的基础上,提出一种新的体型校正系数的计算方法.首先分析了影响跳水难度系数的主要因素,建立了难度系数与影响因素之间的多元线性回归模型.其次基于动量矩定理和角动量守恒原理,对跳水动作进行分类并分别进行分析,建立人体在空中绕旋转轴运动的动力学方程,得到完成各跳水动作的时间与运动员体型之间的关系.最后建立体型校正系数计算模型,对原难度系数进行修正.修正后的难度系数在保证一定合理性的情况下,能够更加准确地反应不同体型运动员完成跳水动作的真实难度.

Aiming at the influence of athletes’body shape on the completion time of platform diving,a new calculation method of body shape correction coefficient was proposed based on the original calculation rules of diving difficulty coefficient.Firstly,the main factors affecting the difficulty coefficient were analyzed,and the multivariate linear regression model between the difficulty coefficient and the influencing factors was established.Then,based on the moment of momentum theorem and conservation principle of angular momentum,diving actions were classified and analyzed respectively,and the dynamic equation of the human body moving around the rotation axis was established.The relationship between the time to complete each diving action and the athlete’s body shape was obtained.Finally,a model for calculating the body shape correction coefficient was established to correct the original difficulty coefficient.The corrected difficulty coefficient can reflect the true difficulty of diving action of athletes with different body types more accurately under the condition of certain rationality.