Abstract
Systems with periodic structure consisting of repeated elements very much frequently are used in mechanical constructions. They also is designated as systems with translational symmetry. A very effective method in the study of vibrations for such systems is the use of a dispersion equation [25, 69, 89, 97]. This equation determining the dependence of the vibrations frequency on the wavelength:
The all calculations in this section were fulfilled by Dr. Sc. R.S. Akhmetkhanov
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- 1.
Usually the wave number is designated as k, but to not confuse it to stiffness coefficient here we have designated it through κ
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Banakh, L.Y., Kempner, M.L. (2010). Vibrations of Regular Systems with Periodic Structure. In: Vibrations of mechanical systems with regular structure. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03126-7_3
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