蒙特卡罗方法模拟公路自行车运动员的功率及速度分布  

MONTE CARLO SIMULATION OF POWER AND SPEED DISTRIBUTION OF ROAD CYCLISTS

作　　者：王照清 余雨蔓 代汶均 景鹏飞 WANG Zhaoqing;YU Yuman;DAI Wenjun;JING Pengfei(Department of Physics,Beijing Normal university,Beijing 100875)

机构地区：[1]北京师范大学物理学系,北京100875

出　　处：《物理与工程》2024年第2期127-135,145,共10页Physics and Engineering

摘　　要：近些年来,公路自行车赛引起众多关注,如何使运动员在比赛中获得更好的成绩成为众多研究的目标。为给出自行车运动员在比赛过程中功率分配方案,本文首先建立了公路自行车赛车手的功率曲线模型,然后分析对比了不同赛车选手的特点;再通过分析赛车手的在不同性质路段的动力学模型,获得运动员经过具体赛段的时间和速度随功率的变化。我们运用蒙特卡罗方法得到了不同赛车手在不同路段最佳的功率和速度分配曲线,并将模型应用于2021公路自行车UCI世锦赛,得到不同类型运动员具体功率和速度曲线在路程中的分布。通过这一模型我们可以得知,赛车手在赛程中尽力保持匀速状态并在擅长的路段进行一定的加速可以得到最佳的比赛结果。最后我们分析了该方法得到的结果的稳定性。In recent years,the road cycling race has attracted a lot of attention.How to make athletes get better results in the race has become the goal of many studies.In order to provide a power distribution plan for cyclists in the competition,we establish the power curve model of road cyclists firstly,then analyze and compare the characteristics of different cyclists.By analyzing the dynamic model of the racer in different sections,the time and speed changes with power of the athlete through specific sections can be obtained through this model.We use Monte Carlo method to get the optimal power and speed distribution curves of different racers in different sections,and apply the model to 2021 UCI World Road Cycling Championships to get the distribution of specific power and speed curves of different types of athletes over the distance.Through this model,we know that racing cyclists can get the best results by trying to maintain a uniform speed during the race and accelerating at the sections they are good at.Finally,we analyze the stability of the results obtained by this method.

关 键 词：蒙特卡罗方法 自行车公路赛 自行车运动员功率模型 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术] G872.3[自动化与计算机技术—计算机科学与技术]