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.
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