Chaotic vibrations of flexible shallow axially symmetric shells; Nonlinear Dynamics; Vol. 91, iss. 4
| Parent link: | Nonlinear Dynamics Vol. 91, iss. 4.— 2018.— [P. 2271-2291] |
|---|---|
| Korporativní autor: | |
| Další autoři: | , , , , |
| Shrnutí: | Title screen In this work, chaotic dynamics of flexible spherical axially symmetric shallow shells subjected to sinusoidal transverse load is studied with emphasis put on the vibration modes. Chaos reliability is verified and validated by solving the implemented mathematical model by partial nonlinear equations governing the dynamics of flexible spherical shells and by estimating the signs of the largest Lyapunov exponents with the help of qualitatively different approaches. It is shown how the scenario of transition of the investigated shells from regular to chaotic vibrations depends on the boundary condition. The following cases are considered: (1) movable and fixed simple supports along the shell contours, taking into account shell stiffness (Feigenbaum scenario) and shell damping (Ruelle–Takens–Newhouse scenario), and (2) movable clamping (regular shell vibrations). The presence of dents, the location and character of which essentially depend on the shell geometric parameters, boundary conditions, and the external load parameters, is detected in some regions of the shell surface and discussed. Режим доступа: по договору с организацией-держателем ресурса |
| Jazyk: | angličtina |
| Vydáno: |
2018
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| Témata: | |
| On-line přístup: | https://doi.org/10.1007/s11071-017-4013-0 |
| Médium: | Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666976 |
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| 200 | 1 | |a Chaotic vibrations of flexible shallow axially symmetric shells |f A. V. Krysko, J. Awrejcewicz, A. A. Zakharova [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 42 tit.] | ||
| 330 | |a In this work, chaotic dynamics of flexible spherical axially symmetric shallow shells subjected to sinusoidal transverse load is studied with emphasis put on the vibration modes. Chaos reliability is verified and validated by solving the implemented mathematical model by partial nonlinear equations governing the dynamics of flexible spherical shells and by estimating the signs of the largest Lyapunov exponents with the help of qualitatively different approaches. It is shown how the scenario of transition of the investigated shells from regular to chaotic vibrations depends on the boundary condition. The following cases are considered: (1) movable and fixed simple supports along the shell contours, taking into account shell stiffness (Feigenbaum scenario) and shell damping (Ruelle–Takens–Newhouse scenario), and (2) movable clamping (regular shell vibrations). The presence of dents, the location and character of which essentially depend on the shell geometric parameters, boundary conditions, and the external load parameters, is detected in some regions of the shell surface and discussed. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Nonlinear Dynamics | ||
| 463 | |t Vol. 91, iss. 4 |v [P. 2271-2291] |d 2018 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a axially symmetric spherical shells | |
| 610 | 1 | |a chaos | |
| 610 | 1 | |a boundary conditions | |
| 610 | 1 | |a lyapunov exponents | |
| 610 | 1 | |a solution convergence | |
| 610 | 1 | |a dents | |
| 610 | 1 | |a vibration modes | |
| 701 | 1 | |a Krysko |b A. V. |c specialist in the field of Informatics and computer engineering |c programmer Tomsk Polytechnic University, Professor, doctor of physico-mathematical Sciences |f 1967- |g Anton Vadimovich |3 (RuTPU)RU\TPU\pers\36883 | |
| 701 | 1 | |a Awrejcewicz |b J. | |
| 701 | 1 | |a Zakharova |b A. A. |c specialist in the field of informatics and computer technology |c Professor of Tomsk Polytechnic University, Doctor of technical sciences |f 1972- |g Alena Alexandrovna |3 (RuTPU)RU\TPU\pers\33631 | |
| 701 | 1 | |a Papkova |b I. |g Irina | |
| 701 | 1 | |a Krysko |b V. A. | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Инженерная школа информационных технологий и робототехники |c 2017- |x TPU |7 ca |8 rus |9 28330 |
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| 856 | 4 | |u https://doi.org/10.1007/s11071-017-4013-0 | |
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