基于变分法的运动员短跑模型

Athlete Sprint Model Based on Variation Method

变分法是研究泛函极值的一种有效方法,在很多方面都有广泛应用.本文主要讨论了变分法在运动员短跑模型中的应用.在模型中按照运动速度与冲力的不同把短跑过程分为两个阶段.在对一些变量做出假设的基础上,利用变分法具体讨论运动员在两个阶段的短跑速度和跑步距离,得出模型的结果.

The variation method is an effective method to study the functional extreme value. It is widely used in many fields. The main discussion here is the application of the variation method in the sprinters sprint model. First,make a statement about the athlete sprint problem. Secondly,the main mathematical methods involved in the establishment of the model are analyzed. Then,according to the speed and momentum,the dash process is divided into two stages. On the basis of the assumption of some variables,the variation method is used to discuss the sprint speed and running distance of the athletes in two stages,and the results of the model are obtained.