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Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations
Joint Authors
Awrejcewicz, Jan
Papkova, I.V.
Krysko, V. A.
Krysko, A. V.
Szymanowska, Olga
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper discusses the impact of the von Kármán 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).
American Psychological Association (APA)
Krysko, A. V.& Awrejcewicz, Jan& Papkova, I.V.& Szymanowska, Olga& Krysko, V. A.. 2017. Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123114
Modern Language Association (MLA)
Krysko, A. V.…[et al.]. Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations. Advances in Mathematical Physics No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1123114
American Medical Association (AMA)
Krysko, A. V.& Awrejcewicz, Jan& Papkova, I.V.& Szymanowska, Olga& Krysko, V. A.. Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123114