Discrete Modeling of Oscillatory Processes in a Blocky Medium : материалы временных коллективов

Описание

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference on Numerical Analysis and Applications (NAA); Lozenetz, BULGARIA; Lozenetz, BULGARIA

Год издания: 2017

Идентификатор DOI: 10.1007/978-3-319-57099-0_66

Ключевые слова: blocky medium, cosserat continuum, discrete chain, elasticity, microstructure, resonance, rotational motion

Аннотация: Resonance phenomena in inhomogeneous layered and blocky media are investigated on the basis of the discrete model of transverse-rotational oscillations in linear monoatomic chain. To analyze the behavior of the system in near-resonance region, spectral portraits are built. It allows to visualize resonant frequencies and to analyze Показать полностьюalteration of an amplitude vector. Using mentioned model, a set of resonant frequencies are found. It is shown that there exists one specific frequency, which does not depend on the number of particles in the chain. In passing to the limit as the chain length tends to infinity, this frequency, related to rotational particles vibration, is the unique resonant frequency. The discussed property is associated with the previously studied property of the Cosserat continuum, where the resonant frequency of rotational motion exists, which does not depend on the specimen size and on the conditions of loading at its boundary.

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Издание

Журнал: NUMERICAL ANALYSIS AND ITS APPLICATIONS (NAA 2016)

Выпуск журнала: Vol. 10187

Номера страниц: 583-590

ISSN журнала: 03029743

Место издания: CHAM

Издатель: SPRINGER INTERNATIONAL PUBLISHING AG

Персоны

  • Sadovskii Vladimir M. (RAS, SB, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)
  • Chentsov Evgenii P. (RAS, SB, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)