Ski control model for parallel turn using multibody system

摘要

Now, it is possible to discuss qualitatively the effects of skis, skier's ski control and slope on a ski turn by simulation. The reliability of a simulation depends on the accuracy of the models used in the simulation. In the present study, we attempt to develop a new ski control model for a "parallel turn" using a computer graphics technique. The "ski control" necessary for the simulation is the relative motion of the skier's center of gravity to the ski and the force acting on the ski from the skier. The developed procedure is as follows. First, the skier is modeled using a multibody system consisting of body parts. Second, various postures of the skier during the "parallel turn" are drawn using a 3D-CAD (three dimensional computer aided design) system referring to the pictures videotaped on a slope. The position of the skier's center of gravity is estimated from the produced posture. Third, the skier's ski control is obtained by arranging these postures in a time schedule. One can watch the ski control on a TV. Last, the three types of forces acting on the ski from the skier are estimated from the gravity force and the three relative types of inertia forces acting on the skier. Consequently, one can obtain accurate ski control for the simulation of the "parallel turn", that is, the relative motion of the skier's center of gravity to the ski and the force acting on the ski from the skier. Furthermore, it follows that one can numerically estimate the edging angle from the ski control model.