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
| Parent link: | Advances in Mathematical Physics: Scientific Journal Vol. 2017.— 2017.— [3038179, 9 p.] |
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| সংস্থা লেখক: | |
| অন্যান্য লেখক: | , , , , |
| সংক্ষিপ্ত: | 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). |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
2017
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | http://earchive.tpu.ru/handle/11683/38244 https://doi.org/10.1155/2017/3038179 |
| বিন্যাস: | বৈদ্যুতিক গ্রন্থের অধ্যায় |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653520 |
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| 200 | 1 | |a Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations |f A. V. Krysko [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 17 tit.] | ||
| 330 | |a 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). | ||
| 461 | |t Advances in Mathematical Physics |o Scientific Journal | ||
| 463 | |t Vol. 2017 |v [3038179, 9 p.] |d 2017 | ||
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