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Journal of Soviet Mathematics

, Volume 65, Issue 4, pp 1786–1790 | Cite as

Free oscillation of a curvilinear rod

  • A. V. Dubovik
  • M. F. Kopytko
  • Ya. G. Savula
Article
  • 13 Downloads

Abstract

A method and finite-element algorithm are presented for determining the frequencies and form of free oscillations of elastic curvilinear rods with finite rigidity under deflection. Numerical examples are introduced in order to investigate the dependence of the precision of the calculated frequencies and the form of the oscillations on the method of division into finite elements.

Keywords

Free Oscillation Calculated Frequency Finite Rigidity 
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Literature cited

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    K. Bathe and E. Wilson, Numerical Methods of Analysis and the Method of Finite Elements [Russian translation], Stroiizdat, Moscow (1982).Google Scholar
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    I. A. Birger and Ya. G. Panovko (eds.), Tensile Strength, Stability, Oscillations, a Handbook in Three Volumes, Vol. 1 [in Russian], Mashinostroenie, Moscow (1968).Google Scholar
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    G. Strang and G. Fix, Theory of the Finite-Element Method [Russian translation], Mir, Moscow (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • A. V. Dubovik
    • 1
  • M. F. Kopytko
    • 1
  • Ya. G. Savula
    • 1
  1. 1.I. Franko State UniversityL'vov

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