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The equations of motion of a mechanical system in matrix form

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Abstract

This work recommends methods of construction of equations of motion of mechanical systems in matrix form. The use of a matrix form allows one to write an equation of dynamics in compact form, convenient for the investigation of multidimensional mechanical systems with the help of computers. Use is made of different methods of constructing equations of motion, based on the basic laws of dynamics as well as on the principles of D'Alambert-Lagrange, Hamilton-Ostrogradski and Gauss.

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References

  1. R.G. Moukharliamov, The equations of motions of a mechanical system,Differential Equation,19, 12 (1983), 2048–2056. (in Russian)

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  2. Greenwood, Donald T.,Classical Dynamics, Prentice Hall, Inc., Englewood Cliffs, N.J. (1977), 337.

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Authors and Affiliations

  1. Patrice Lumumba University of People's Friendship, Moscow

    R. G. Moukharliamov

  2. Shanghai University of Technology, Shanghai

    Liu Wei-jian

Authors
  1. R. G. Moukharliamov
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  2. Liu Wei-jian
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Communicated by Chien Wei-zang

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Moukharliamov, R.G., Wei-jian, L. The equations of motion of a mechanical system in matrix form. Appl Math Mech 10, 947–954 (1989). https://doi.org/10.1007/BF02017520

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  • DOI: https://doi.org/10.1007/BF02017520

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