Vibrations of Rods at Frequencies below Their Radial Resonance

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Abstract
The asymptotic vibration laws that describe the high‐frequency behavior of complex systems—on the basis of mode masses and the frequency difference between successive resonances and their damping—also give a significant description of the low‐frequency behavior of vibrators from their first resonance onwards. Thus, where problems of noise and vibration insulation are concerned, there seems to be no need for more accurate calculation. This paper derives the necessary theoretical background and substantiates the theory by means of a study of vibrating rods.

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