Chaotic dynamics of flexible beams driven by external white noise; Mechanical Systems and Signal Processing; Vol. 79 : Special Issue from ICEDyn 2015

Bibliographic Details
Parent link:	Mechanical Systems and Signal Processing.— , 1987- Vol. 79 : Special Issue from ICEDyn 2015.— 2016.— [P. 225-253]
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., Krysko A. V. Anton Vadimovich, Papkova I. V., Zakharov V. M., Erofeev N. P., Krylova E. Yu., Mrozowski J., Krysko V. A.
Summary:	Title screen Mathematical models of continuous structural members (beams, plates and shells) subjected to an external additive white noise are studied. The structural members are considered as systems with infinite number of degrees of freedom. We show that in mechanical structural systems external noise can not only lead to quantitative changes in the system dynamics (that is obvious), but also cause the qualitative, and sometimes surprising changes in the vibration regimes. Furthermore, we show that scenarios of the transition from regular to chaotic regimes quantified by Fast Fourier Transform (FFT) can lead to erroneous conclusions, and a support of the wavelet analysis is needed. We have detected and illustrated the modifications of classical three scenarios of transition from regular vibrations to deterministic chaos. The carried out numerical experiment shows that the white noise lowers the threshold for transition into spatio-temporal chaotic dynamics. A transition into chaos via the proposed modified scenarios developed in this work is sensitive to small noise and significantly reduces occurrence of periodic vibrations. Increase of noise intensity yields decrease of the duration of the laminar signal range, i.e., time between two successive turbulent bursts decreases. Scenario of transition into chaos of the studied mechanical structures essentially depends on the control parameters, and it can be different in different zones of the constructed charts (control parameter planes). Furthermore, we found an interesting phenomenon, when increase of the noise intensity yields surprisingly the vibrational characteristics with a lack of noisy effect (chaos is destroyed by noise and windows of periodicity appear). Режим доступа: по договору с организацией-держателем ресурса
Language:	English
Published:	2016
Subjects:	электронный ресурс труды учёных ТПУ параметрические колебания балки Фурье-анализ вейвлет-анализ
Online Access:	http://dx.doi.org/10.1016/j.ymssp.2016.02.043
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=648847