关于跳台跳水体型系数设置的建模分析

Modeling Analysis on the Coefficient Setting of Body Shapes for Diving 10m Platform Movement

主要研究了运动员的体型对跳水动作难度系数影响的问题.首先,根据附件1的信息,建立四种分析模型,得到受体型影响的主要跳水动作是翻腾和转体,它们的难度系数需要分段进行体型系数校正;其次,根据斜抛运动、机械能守恒定律、平行轴定理和角动量定理等相关物理知识,分别建立了基于身高、体重的完成跳水动作的两个时间模型,得到入水时间限制,以及体型限制每一个运动员入水前可进行翻腾转体动作的最大半周数;然后,确定校正系数设置的必要性,并利用多元非线性回归方法,及采集到的运动员身高、体重和成绩等数据,构建了体型校正系数确定方法的模型,得到与每一位运动员体型匹配的校正系数;最后,基于问题二约束条件、问题三所建立的模型,计算运动员的动作难度系数校正结果.建立的关于跳台跳水体型系数设置的模型,有效避免了体型对跳水动作难度系数的影响,使得难度系数的设置更加合理.

The thesis mainly studies the influence of athletes’body types on the difficulty coefficients of the diving motions.At First,in accordance with the information in Attachment1,four kinds of analytical models are established to obtain the main diving motions that are affected by different body types are the tuck dive and the turning motion,the difficulty coefficients of which need to be segmented for its body-type corrections;And then,in line with some relevant knowledge of physics including the oblique projectile motion,conservation law of mechanical energy,parallel-axis theorem and angular momentum theorem and others,the two time models are established respectively which is based on heights and weights to complete the diving motions to acquire the time limit of diving and the body-type limit to the half-cycle maximum of tuck dive and turn motion performed by each athlete before they enter the water;After that,it is necessary to substantiate the setting importance of coefficient corrections and the model of determining method of body-type coefficient corrections is established to acquire the corrected coefficients matched with different body types of each athlete;At last,in line with the constraint conditions in the question 2 and the established model in the question 3,the correction results of difficulty coefficients for athletes’movements shall be calculated.The established model,in the thesis,which is related to the setting of body-type coefficients for diving,avoids effectively the unfavorable influence of the body types on the difficulty coefficients of diving motions,making the setting more reasonable.