Moxnes John F, Sandbakk Oyvind, Hausken Kjell
Department for Protection, Norwegian Defence Research Establishment, Kjeller, Norway.
Center for Elite Sports Research, Department of Neuroscience, Norwegian University of Science and Technology, Trondheim, Norway.
Open Access J Sports Med. 2014 May 7;5:89-98. doi: 10.2147/OAJSM.S53503. eCollection 2014.
The current study adapts the power balance model to simulate cross-country skiing on varying terrain. We assumed that the skier's locomotive power at a self-chosen pace is a function of speed, which is impacted by friction, incline, air drag, and mass. An elite male skier's position along the track during ski skating was simulated and compared with his experimental data. As input values in the model, air drag and friction were estimated from the literature based on the skier's mass, snow conditions, and speed. We regard the fit as good, since the difference in racing time between simulations and measurements was 2 seconds of the 815 seconds racing time, with acceptable fit both in uphill and downhill terrain. Using this model, we estimated the influence of changes in various factors such as air drag, friction, and body mass on performance. In conclusion, the power balance model with locomotive power as a function of speed was found to be a valid tool for analyzing performance in cross-country skiing.
本研究采用功率平衡模型来模拟在不同地形上的越野滑雪。我们假设滑雪者以自选速度前进时的机车功率是速度的函数，而速度会受到摩擦力、坡度、空气阻力和质量的影响。模拟了一名精英男性滑雪者在自由式滑雪时沿赛道的位置，并将其与实验数据进行了比较。作为模型的输入值，根据文献，基于滑雪者的质量、雪况和速度估算了空气阻力和摩擦力。我们认为拟合效果良好，因为在815秒的比赛时间中，模拟和测量之间的比赛时间差异为2秒，在上坡和下坡地形中拟合效果均可接受。使用该模型，我们估算了空气阻力、摩擦力和体重等各种因素变化对成绩的影响。总之，以机车功率作为速度函数的功率平衡模型被发现是分析越野滑雪成绩的有效工具。
