On the Generality of Systems Having an Infinitely Dense Discrete Spectrum of Resonant Frequencies
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.
KeywordsResonance Frequency Resonant Frequency Normal Mode Periodic Motion Timoshenko Beam
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- 7.G.N. Watson A Treatise on the Theory of Bessel Functions 2nd ed. Cambridge University Press, 1966, pp. 22–23.Google Scholar