Chaotic vibrations of flexible shallow axially symmetric shells; Nonlinear Dynamics; Vol. 91, iss. 4

Chaotic vibrations of flexible shallow axially symmetric shells; Nonlinear Dynamics; Vol. 91, iss. 4

Bibliographische Detailangaben
Parent link:Nonlinear Dynamics
Vol. 91, iss. 4.— 2018.— [P. 2271-2291]
Körperschaft: Национальный исследовательский Томский политехнический университет Инженерная школа информационных технологий и робототехники Отделение автоматизации и робототехники
Weitere Verfasser: Krysko A. V. Anton Vadimovich, Awrejcewicz J., Zakharova A. A. Alena Alexandrovna, Papkova I. Irina, Krysko V. A.
Zusammenfassung: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
Sprache:Englisch
Veröffentlicht: 2018
Schlagworte:
электронный ресурс
труды учёных ТПУ
axially symmetric spherical shells
chaos
boundary conditions
lyapunov exponents
solution convergence
dents
vibration modes
Online-Zugang:https://doi.org/10.1007/s11071-017-4013-0
Format: MixedMaterials Elektronisch Buchkapitel
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666976

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