关于跳台跳水体型系数设置的建模分析

Modeling Analysis on the Setting of Shape Coefficient of Platform Diving

针对第十五届中国研究生数学建模竞赛A题跳水体型系数设置问题展开研究.建立球铰链连接的人体模型分析跳水过程,对经典的kick模型进行改进,建立描述运动员完成跳水动作的时间与运动员体型之间的关系的数学模型,发现完成翻腾或转体的时间与人的体型紧密相关,故有必要设置体型校正系数.结合经验性统计特征,提出体型校正系数的设置方法.实验结果表明,经过校正的难度系数能较好地表现出体型对于完成动作难度的影响.

The authors investigated the problem of setting of shape coefficient of the 15 th China Graduate Mathematical Modeling Contest.The human body model of the ball hinge connection is established to analyze the diving process,the classic kick model is improved,and a mathematical model is established to describe the relationship between the time when the.athlete completes the diving action and the body shape of the athlete.It is found that the time to complete the churning or turning is closely related to the body shape of the person,so it is necessary to set the body shape correction coefficient.Combining with the empirical statistical characteristics,the method of setting the shape correction coefficient is proposed.The experimental results show that the corrected difficulty coefficient can better show the influence of the body shape on the difficulty of completing the action.