On the Generality of Systems Having an Infinitely Dense Discrete Spectrum of Resonant Frequencies

  • Dov Shilkrut
  • Zvi Grunseit
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 28)


The infinitely dense discrete spectrum of resonant frequencies has already been shown to exist in several “simple” systems such as strings and rods, Euler-Bernoulli beams and plates. Herein an attempt to prove the generality of this phenomenon will be presented. For that the more elaborate and accurate Timoshenko beam theory is adopted for formulation of the problem.


Resonance Frequency Resonant Frequency Normal Mode Periodic Motion Timoshenko Beam 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • Dov Shilkrut
    • 1
  • Zvi Grunseit
    • 2
  1. 1.Department of Mechanical EngineeringBen Gurion University of the NegevBeer-ShevaIsrael
  2. 2.Mechanical Engineering Department, Radar DivisionELTA Electronics Industries Ltd. subsidiary of IAIAshdodIsrael

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