2022年美国大学生数学建模竞赛题目A--自行车运动员的力量曲线优秀论文五篇(含Matlab源码).pdf

2022年美国大学生数学建模竞赛题目A--自行车运动员的力量曲线优秀论文五篇(含Matlab源码).pdf

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2022年美国大学生数学建模竞赛题目A-自行车运 动员的力量曲线优秀论文五篇(含Matlab源码) 问题A:自行车运动员的力量曲线2 骑自行车的游戏理论 5 最佳功率分配-骑行未来 30 电力规划模型:骑自行车者的魔法武器55 骑自行车者的最佳功率分布85 基于生理学的最佳骑自行车解决方案, 顿力学和动态编程 105 2022 MCM Problem A: Power Profile of a Cyclist Oave_Z^bfbkie_-_USA_Pfo_Trne_Tfialj0g Background There are many types of bicycle road races including a criterium, a team time trial, and an individual time trial. A riders chance of success can vary for these contests depending on the type of event, the course, and the riders abilities. In an individual time trial, each individual cyclist is expected to ride a fixed course alone, and the winner is the rider who does so in the least amount of time. An individual rider can produce diflerent levels of power fbr different lengths of time, and the amount of power and how long a given amount of power a rider can produce varies greatly between riders. A ridefs power curve indicates how long a rider can produce a given amount of power. In other words, fbr a particular length of time the power curve provides the maximum power a rider can maintain fbr that given time. Generally, the more power a rider produces, the less time the rider can maintain that power before having to reduce the amount of power and recover. A rider may choose to briefly exceed the limits on their power curve, but the rider then requires extra time at a lower power level to recover. Moreover, a riders power output in the past matters, and riders are increasingly fatigued as a race progresses. iders are always looking to minimize the time required to cover a given distance. Given a particular riders capability according to that riders power curve, how should that rider apply power while traversing a given time trial course? Additionally, many types

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