Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations

Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations

Bibliographic Details
Parent link:	Advances in Mathematical Physics: Scientific Journal Vol. 2017.— 2017.— [3038179, 9 p.]
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, Papkova V. Irina, Szymanowska O. Olga, Krysko V. A. Vadim
Summary:	Title screen The paper discusses the impact of the von Karman type geometric nonlinearity introduced to a mathematical model of beam vibrations on the amplitude-frequency characteristics of the signal for the proposed mathematical models of beam vibrations. An attempt is made to separate vibrations of continuous mechanical systems subjected to a harmonic load from noise induced by the nonlinearity of the system by employing the principal component analysis (PCA). Straight beams lying on Winkler foundations are analysed. Differential equations are obtained based on the Bernoulli-Euler, Timoshenko, and Sheremetev-Pelekh-Levinson-Reddy hypotheses. Solutions to linear and nonlinear differential equations are found using the principal component analysis (PCA).
Published:	2017
Subjects:	электронный ресурс труды учёных ТПУ балки нелинейные колебания шумы
Online Access:	http://earchive.tpu.ru/handle/11683/38244 https://doi.org/10.1155/2017/3038179
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653520

Internet

http://earchive.tpu.ru/handle/11683/38244
https://doi.org/10.1155/2017/3038179