Silverberg, L. and J. R. Gardiner, Simulation of the mechanics of water-skier motion, Mathematics and Computers in Simulation 34 (1992) 163 -- 181.
Abstract
This paper focuses on the modeling and simulation of a planar serial five-link system resembling a headless water-skier. The water-skier is taught to water-ski by an informal gradient method. The informal gradient method determines the parameters associated with control moments applied at the joints. As an illustrative simulation, the water-skier is shown to traverse waves of varying magnitude and frequency, stand up, and compensate for varying tension in the tow line.
Movies
The movies show a planar serial five link system resembling a water-skier. The water-skier was taught to ski by an informal gradient method. This method determines the parameters associated with control moments applied at the joints. The water-skier is shown below to traverse waves of varying magnitude and frequency, standup, and compensate for varying tension in the tow line.
small
waves increasing in amplitude
large
waves increasing in frequency