| 000 | 02700nlm1a2200409 4500 | ||
|---|---|---|---|
| 001 | 653520 | ||
| 005 | 20231030041223.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\18992 | ||
| 090 | _a653520 | ||
| 100 | _a20170310a2017 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aPrincipal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations _fA. V. Krysko [et al.] |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 17 tit.] | ||
| 330 | _aThe 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 |
_tAdvances in Mathematical Physics _oScientific Journal |
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| 463 |
_tVol. 2017 _v[3038179, 9 p.] _d2017 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _aбалки | |
| 610 | 1 | _aнелинейные колебания | |
| 610 | 1 | _aшумы | |
| 701 | 1 |
_aKrysko _bA. V. _cspecialist in the field of Informatics and computer engineering _cprogrammer Tomsk Polytechnic University, Professor, doctor of physico-mathematical Sciences _f1967- _gAnton Vadimovich _2stltpush _3(RuTPU)RU\TPU\pers\36883 |
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| 701 | 1 |
_aAwrejcewicz _bJ. _gJan |
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| 701 | 1 |
_aPapkova _bV. _gIrina |
|
| 701 | 1 |
_aSzymanowska _bO. _gOlga |
|
| 701 | 1 |
_aKrysko _bV. A. _gVadim |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет (ТПУ) _bИнститут кибернетики (ИК) _bКафедра инженерной графики и промышленного дизайна (ИГПД) _bНаучно-учебная лаборатория 3D моделирования (НУЛ 3DМ) _h6704 _2stltpush _3(RuTPU)RU\TPU\col\20373 |
| 801 | 2 |
_aRU _b63413507 _c20170505 _gRCR |
|
| 856 | 4 | _uhttp://earchive.tpu.ru/handle/11683/38244 | |
| 856 | 4 | _uhttps://doi.org/10.1155/2017/3038179 | |
| 942 | _cCF | ||