Effect of Polydispersity on The Bandwidth of Transmission and Locking in Phonon Two-Component Crystals


Gulmira Baenova*†, Sergey Sukhinin‡, Zaure Julamanova‡†, Ainur Zhumadillayeva†


† L.N. Gumilyov ENU, Nur-Sultan, Kazakhstan.
‡ Institute of Hydrodynamics SB RAS, Novosibirsk, Russia.
‡† Atyrau Oil and Gas University named after Safi Utebayev, Atyrau, Kazakhstan.

Corresponding Author Email: [email protected]

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Phonon crystals are of great interest for their use as elastic and noise-absorbing coatings. These properties are achieved by selecting the periodic structure and size of the material dispersions. The proposal of a new structure and the prediction of new properties of materials are urgent tasks in the age of high speeds and super computations. In this paper, the main goal is to study acoustic waves propagating in phonon crystals using numerical and analytical methods. These calculations showed the influence of the polydispersity of phonon crystals and the physical parameters of the media included in the system (density, speed of sound) on the phase, relative to the fundamental cells, wave propagation velocities, transmission and locking frequency bands. For the first time, a significant effect of polydispersity on the averaged properties of polydisperse phonon crystals was found. This means that the generally accepted methods of averaging allow a significant error in determining the averaged parameters of heterogeneous polydisperse media. Specific examples of wave propagation in polydisperse phonon crystals are given.