Journal of Mathematical Sciences

, Volume 82, Issue 2, pp 3343–3346 | Cite as

Analysis of the interaction of inertial forces in a stability problem

  • A. G. Dem'yanenko
  • S. P. Kiba


Using the plane of characteristic indices we study the stability of an elastic filament with a distributed inertial load moving along it at constant speed. Taking account of the Coriolis inertial forces and assuming the presence of dissipative forces, we carry out a qualitative analysis of the results for different relations among the parameters of the system; this analysis is in agreement with the general stability theorems for elastic structures.


Qualitative Analysis Constant Speed Inertial Force Stability Problem General Stability 
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Literature Cited

  1. 1.
    V. V. Bolotin,Nonconservative Problems of the Theory of Elastic Stability [in Russian], Moscow (1961).Google Scholar
  2. 2.
    A. G. Dem'yanenko and S. P. Kiba, “Influence of rotational inertial on the oscillatory properties of a moving flexible mass”,Dinam. Prochn. Mashin, No. 30, 48–55 (1979).Google Scholar
  3. 3.
    S. P. Kiba, “On a way of solving the problem of a string with a moving load”,Prikl. Mekh.,10, No. 1, 179–183 (1974).Google Scholar
  4. 4.
    H. Ziegler,Principles of Structural Stability, Blaisdell, Waltham (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. G. Dem'yanenko
  • S. P. Kiba

There are no affiliations available

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