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Meccanica

, Volume 27, Issue 4, pp 293–296 | Cite as

Simple discrete-continuous model of machine support subject to transversal kinematic excitation

  • Władysław Nadolski
  • Amalia Pielorz
Article
  • 32 Downloads

Abstract

In this paper a simple discrete-continuous layered model is proposed in dynamic investigations of a machine support subjected to transversal kinematic excitation. The model consists of an elastic finite-layered system connected to two rigid bodies. The layers undergo only shear deformation and may differ in their mechanical properties. In the discussion, the classical wave equation and the wave solution are applied after the estimation of the support dimensions by a comparison of the frequencies of free vibration for the Timoshenko beam and the classical wave equation. Numerical calculations are carried out for a four-layered model.

Keywords

Dynamics Structural element on foundation 

Sommario

Il lavoro propone un semplice modello continuo/discreto di stratificato per un supporto di macchina soggetto ad eccitazione trasversale.

Il modello consiste in un sistema elastico stratificato interposto fra due elementi rigidi i cui strati reagiscono a deformazioni puramente tangenziali e possono avere proprietà meccaniche differenti.

Nel lavoro viene impiegata la classica trattazione basata sull'equazione delle onde e viene operato un confronto di risultati basati su di una approssimazione alla Timoshenko.

Esempi numerici fanno riferimento ad un modello con quattro stratificazioni.

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References

  1. 1.
    Major, A., Dynamics in Civil Engineering, T. 1–4, Akademiai Kiado, Budapest, 1980.Google Scholar
  2. 2.
    Huang, T. C., ‘The effect of rotary inertia and shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions’, J. Appl. Mech., 28 (1961) 579–584.Google Scholar
  3. 3.
    Fung, Y. C., Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, New Jersey, 1965.Google Scholar
  4. 4.
    Nadolski, W., Pielorz, A. and Mioduchowski, A., ‘Multi mass drive systems with stepped shafts’, Meccanica, 20 (1985) 164–170.Google Scholar
  5. 5.
    Pielorz, A., ‘Application of wave method in investigation of drive systems, comparison with other methods’, Mech. Teor. Stosowana, 26, (1988) 97–112.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Władysław Nadolski
    • 1
  • Amalia Pielorz
    • 1
  1. 1.Institute of Fundamental Technological ResearchWarsawPoland

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