This paper proposes a study of the kinetics and dynamics of slalom waterskiing. The discipline of slalom waterskiing is first described. Then the forces applied on a “static” skier, i.e. just pulled behind a boat, are expressed as a function of water drag coefficients, speed and pitch angle. A slalom point model is finally proposed, made of three major contributions: water friction, water lift and an additional water drag contribution on the slalom skier, creating the traverse motions. Assumptions are made in order to quantify the three angles characterizing the ski position during the slalom traverses. The model is simulated on an EXCEL worksheet, for a large range of conditions (boat speed between 52 and 58 km/h, rope length between 18.25 and 13 m, and three skier masses of 60, 80 and 100 kg). The water friction coefficient was fitted to a value allowing to simulate successful slalom courses. The simulations provide a significant set of kinematics and dynamics parameters (skier velocity, acceleration, tangential force and rope tension). The model duly renders the variations of the skier velocity, and it reflects the increasing difficulty for the skier to complete the slalom at higher boat speed and shorter rope length.

本文提出了回转滑水动力学和动力学的研究。首先描述了回转滑水的规则。然后，施加在“静态”滑雪者上的力，即刚刚被拉到船​​后面的力，被表示为水阻力系数、速度和俯仰角的函数。最终提出了回转点模型，该模型由三个主要贡献组成：水摩擦、水升力和对回转滑雪者产生横向运动的附加水阻力贡献。进行假设是为了量化表征回转穿越过程中滑雪板位置的三个角度。该模型在 EXCEL 工作表上进行模拟，适用于多种条件（船速在 52 至 58 km/h 之间，绳索长度在 18.25 至 13 m 之间，以及三个滑雪者质量分别为 60、80 和 100 kg）。水摩擦系数被拟合到一个可以模拟成功的回转赛道的值。模拟提供了一组重要的运动学和动力学参数（滑雪者速度、加速度、切向力和绳索张力）。该模型恰当地呈现了滑雪者速度的变化，反映了滑雪者在较高的船速和较短的绳索长度下完成回转的难度越来越大。