Chaotic interaction dynamics of three structures: Two cylindrical shells nested into each other and their reinforcing local rib
| Autor: | S. S. Vetsel, V. Dobriyan, V.A. Krysko, O. A. Saltykova |
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| Rok vydání: | 2017 |
| Předmět: |
Physics
Partial differential equation Differential equation Mechanical Engineering Chaotic 02 engineering and technology Condensed Matter Physics 01 natural sciences Finite element method 010305 fluids & plasmas Nonlinear system symbols.namesake 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Mechanics of Materials 0103 physical sciences Euler's formula symbols Initial value problem Beam (structure) |
| Zdroj: | Journal of Applied Mechanics and Technical Physics. 58:489-494 |
| ISSN: | 1573-8620 0021-8944 |
| DOI: | 10.1134/s0021894417030130 |
| Popis: | This paper studies the chaotic dynamics of two cylindrical shells nested into each other with a gap and their reinforcing beam, also with a gap, which is subjected to a distributed alternating load. The problem is solved using methods of nonlinear dynamics and the qualitative theory of differential equations. The Novozhilov equations for geometrically nonlinear structures are used as the governing equations. Contact pressure is determined by Kantor’s method. Using finite elements in spatial variables, the partial differential equations for the beam and shells are reduced to the Cauchy problem, which is solved by explicit integration (Euler’s method). The chaotic synchronization of this system is studied. |
| Databáze: | OpenAIRE |
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