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Stationary Motions of Mechanical Systems with an Infinite Number of Degrees of Freedom

  • V. G. Demin
  • Yu. G. Markov
  • S. D. Furta
  • N. I. Churkina
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

The report is devoted to the study of mathematical models of dynamics of mechanical systems with an infinite number of degrees of freedom, which has been recently carried out by a group of scientists headed by V. G. Demin. A contemporary approach to the study of motions of continuous systems is based on the functional analysis. In this case the motion equations are treated as ordinary differential equations in Banach spaces. The apparatus of differential equations in Banach spaces makes it possible to consider the problem on the basis of a maximally wide class of functions including generalized solutions of the problem stated. Bearding in mind the above, the authors have considered behaviour of different infinite-dimensional mechanical systems in the vicinity of stationary modes of motion.

Keywords

Banach Space Rigid Body Infinite Number Motion Equation USSR Academy 
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Copyright information

© Springer-Verlag, Berlin Heidelberg 1991

Authors and Affiliations

  • V. G. Demin
    • 1
    • 2
  • Yu. G. Markov
    • 1
    • 2
  • S. D. Furta
    • 1
    • 2
  • N. I. Churkina
    • 1
    • 2
  1. 1.Moscow UniversityRussia
  2. 2.Moscow Aviation InstituteRussia

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