Please use this identifier to cite or link to this item:
http://earchive.tpu.ru/handle/11683/38244
Title: | Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations |
Authors: | Krysko, Anton Vadimovich Awrejcewicz, Jan Papkova, Irina Szymanowska, Olga Krysko, Vadim |
Keywords: | балки; нелинейные колебания; шумы |
Issue Date: | 2017 |
Publisher: | Томский политехнический университет |
Citation: | Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations / A. V. Krysko [et al.] // Advances in Mathematical Physics. — 2017. — Vol. 2017. — [3038179, 9 p.]. |
Abstract: | 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). |
URI: | http://earchive.tpu.ru/handle/11683/38244 |
Appears in Collections: | Репринты научных публикаций |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
reprint-nw-18992.pdf | 2,83 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.