Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 2. Chaotic dynamics of flexible beams

Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 2. Chaotic dynamics of flexible beams

Bibliographic Details
Parent link:	International Journal of Non-Linear Mechanics Vol. 93.— 2017.— [P. 106-121]
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:	Krysko A. V. Anton Vadimovich, Awrejcewicz J. Jan, Zhigalov M. V. Maksim, Pavlov S. P., Krysko V. A. Vadim
Summary:	Title screen In the present part of the paper various problems of non-linear dynamics of nano-beams within the modified couple stress theory as well as the Bernoulli-Euler, Timoshenko, and Sheremetev-Pelekh-Reddy-Levinson models are studied taking into account the geometric non-linearity. Different characteristics of the vibrational process, including Fourier spectra, wavelet spectra, phase portraits, Poincarй maps as well as the largest Lyapunov exponents, are studied for the same physical-geometric parameter with and without consideration of the size-dependent behaviour. Vibration graphs are constructed and analysed, and scenarios of transition from regular to chaotic vibrations are illustrated and discussed. Режим доступа: по договору с организацией-держателем ресурса
Published:	2017
Subjects:	электронный ресурс труды учёных ТПУ vibrations лучи вибрации наномеханика хаотическая механика
Online Access:	https://doi.org/10.1016/j.ijnonlinmec.2017.03.006
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=655445

Internet

https://doi.org/10.1016/j.ijnonlinmec.2017.03.006