title: Ð¡Ð¼ÐµÐ½Ð° ÑÐ¸Ð¿Ð° Ð°ÐºÑÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼ÐµÑÐ°Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ð¿Ð¾Ð´ Ð²Ð»Ð¸ÑÐ½Ð¸ÐµÐ¼ ÐºÐ¾Ð¼Ð±Ð¸Ð½Ð°ÑÐ¸Ð¸ ÑÐ¾ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¸ ÑÑÐ°Ð½ÑÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð²ÑÐ·ÐºÐ¾ÑÑÐ¸ Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ ÐÐ¾ÑÑÐµÑÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Change of the type of acoustic metamaterial under the influence of a combination of rotational and translational viscosity on the example of an isotropic linear reduced Cosserat medium
Creators: name: ÐÐ°ÑÑÑÐºÐ¾Ð², Ð¡ÐµÐ²Ð°ÑÑÑÑÐ½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÑÐ·ÐºÐ¾ÑÑÑ
Ð²ÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð°Ñ ÑÐµÐ´ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ ÑÑÐµÐ´Ð° ÐÐ¾ÑÑÐµÑÐ°
Ð·Ð°Ð¿ÑÐµÑÐµÐ½Ð½Ð°Ñ Ð·Ð¾Ð½Ð°
viscoelastic reduced cossera medium
band gap

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description: The theme of the graduate qualification work: "Change of the type of acoustic metamaterial under the influence of a combination of rotational and translational viscosity on the example of an isotropic linear reduced Cosserat medium". This work is devoted to the study of the behavior of the dispersion relations of the reduced Cosserat medium with the introduction of a combination of translational and rotational viscosities. Tasks that were solved in the course of the study: Verification of the hypothesis of the absence of a band gap for running plane harmonic waves in a linear isotropic viscoelastic reduced Cosserat medium. Obtaining non-dimensional dispersion relations, asymptotic solutions, values at critical points for the real, imaginary parts of the wave number, as well as the logarithmic decrement. Obtaining extremums of the real part and wavenumber and logarithmic decrement. An analytical dispersion relation was obtained for the real part of the wave number, which shows that there are running harmonic solutions at any frequency when translational and (or) rotational viscosity is introduced into the medium. The following conclusions were made: the extremum of the real part of the wave number and the logarithmic decrement at low viscosity lies within the former band gap; inside the former band of non-transmission, as small dissipation increases, the wave becomes shorter; its attenuation depends on the frequency, dissipation, and elastic parameters; outside the band gap, an increase dissipation increases the attenuation of the wave.