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A Simple Multibody Dynamic Model of Cross-Country Ski-Skating

[+] Author Affiliations
John Bruzzo, Aki Mikkola

Lappeenranta University of Technology, Lappeenranta, Finland

A. L. Schwab

Delft University of Technology, Delft, The Netherlands

Olli Ohtonen, Vesa Linnamo

University of Jyväskylä, Vuokatti, Finland

Paper No. DETC2013-12859, pp. V07AT10A005; 10 pages
  • ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7A: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Portland, Oregon, USA, August 4–7, 2013
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5596-6
  • Copyright © 2013 by ASME


The purpose of this paper is to present the development of a simple multibody dynamic model matching the observed movements of the center of mass of a skier performing the skating technique in cross-country skiing. The formulation of the equation of motion was made using the Euler–Lagrange equations applied to a multibody tree-type system in three dimensions. The description of the lower limb of the skier and the ski was completed by employing three bodies, one representing the ski, and two representing the natural movements of the leg of the skier. This simple model is able to show an approximation of the movement of the center of mass of the skier and its velocity behavior allowing to study the effect of the key parameters used to build the model.

Copyright © 2013 by ASME
Topics: Dynamic models



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