Chaotic dynamics of size dependent Timoshenko beams with functionally graded properties along their thickness; Mechanical Systems and Signal Processing; Vol. 93

Chaotic dynamics of size dependent Timoshenko beams with functionally graded properties along their thickness

Bibliographic Details
Parent link:Mechanical Systems and Signal Processing.— , 1987-
Vol. 93.— 2017.— [P. 415–430]
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Институт кибернетики (ИК) Кафедра инженерной графики и промышленного дизайна (ИГПД) Научно-учебная лаборатория 3D моделирования (НУЛ 3DМ)
Other Authors: Awrejcewicz J. Jan, Krysko A. V. Anton Vadimovich, Pavlov S. P., Zhigalov M. V., Krysko V. A.
Summary:Title screen
Chaotic dynamics of microbeams made of functionally graded materials (FGMs) is investigated in this paper based on the modified couple stress theory and von Karman geometric nonlinearity. We assume that the beam properties are graded along the thickness direction. The influence of size-dependent and functionally graded coefficients on the vibration characteristics, scenarios of transition from regular to chaotic vibrations as well as a series of static problems with an emphasis put on the load-deflection behavior are studied. Our theoretical/numerical analysis is supported by methods of nonlinear dynamics and the qualitative theory of differential equations supplemented by Fourier and wavelet spectra, phase portraits, and Lyapunov exponents spectra estimated by different algorithms, including Wolf’s, Rosenstein’s, Kantz’s, and neural networks. We have also detected and numerically validated a general scenario governing transition into chaotic vibrations, which follows the classical Ruelle-Takens-Newhouse scenario for the considered values of the size-dependent and grading parameters.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2017
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:https://doi.org/10.1016/j.ymssp.2017.01.047
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=654698

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