Mathematical Modelling of Sports Human Movements

  • L. A. Khasin
  • M. L. Ioffe


The modelling of human body movements based on the analogy with movements of the n-unit mechanism has been carried out. The movement of the n-unit mechanism may be described as the system of the n-differential equation of second order. The authors have been the first to use generalized coordinates, theoretically found, in order to solve the direct, inverse and mixed problems of dynamics.

The search for generalized coordinates has been implemented in the wide class functions according to a number conditions. This approach enables the use of mathematical modelling for the solution of practical problems in sports.


Direct Problem Mixed Problem Support Movement Converse Problem Giant Swing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Aleshinsky S. G., Zasccozky, V. M. Modelizovanic prostzanstvennogo dvigenia cheloveka // Biophisica. 1975: 20 1121–1126.Google Scholar
  2. 2.
    Aleshinsky S. G., Zasccozky, V. M. Opzedelenie megzvennix momentov vnutzennix sil voznikaushix pridvigenii cheloveka // teorici i praktexa phizicheskoy kuetuzi. 1974: 11.Google Scholar
  3. 3.
    Marshall R.N., Sensen R.K., Wood G.A. A General Newtonian Simulation of an N-segment Open Chain Model // J. Biomechanics. 1985: 18(5) 359–367.CrossRefGoogle Scholar
  4. 4.
    Pandy M., Zajak F., Sim F., Levine W. An optimal Control Model for Maximum Height of Human Jumping // J. Biomechanics. 1990:23(12) 1185–1198.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • L. A. Khasin
    • 1
  • M. L. Ioffe
    • 1
  1. 1.Moscow Regional State Institute of Physical CultureMoscovskaya obl.Russia

Personalised recommendations