Contact interaction of flexible Timoshenko beams with small deflections; Journal of Physics: Conference Series; Vol. 944 : Applied Mechanics and System Dynamics
| Parent link: | Journal of Physics: Conference Series Vol. 944 : Applied Mechanics and System Dynamics.— 2017.— [012187, 7 p.] |
|---|---|
| Autor Corporativo: | |
| Outros Autores: | , , , , |
| Resumo: | Title screen In this work chaotic dynamics contact interaction of two flexible Tymoshenko beams, under the action of a transversal alternating load is investigated. The contact interaction of the beams is taken into account by the Kantor model. The geometric nonlinearity is taken into account by the model of T. von Karman. The system of partial differential equations of the twelfth order reduces to the system of ordinary differential equations by the method of finite differences of the second order. The resulting system by methods of Runge-Kutta type of the second, fourth and eighth orders was solved. Our theoretical/numerical analysis is supported by methods of nonlinear dynamics and the qualitative theory of differential equations. Chaotic vibrations of two flexible beams of Timoshenko were investigated and the optimal step values over the spatial coordinate and the time steps for the numerical experiment were found. Convergence for all applicable numerical methods have been achieved and shown that chaotic signals are true. |
| Idioma: | inglês |
| Publicado em: |
2017
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1088/1742-6596/944/1/012087 http://earchive.tpu.ru/handle/11683/57830 |
| Formato: | Recurso Eletrônico Capítulo de Livro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=657971 |
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| 200 | 1 | |a Contact interaction of flexible Timoshenko beams with small deflections |f A. V. Krysko [et al.] | |
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| 300 | |a Title screen | ||
| 320 | |a [References: 11 tit.] | ||
| 330 | |a In this work chaotic dynamics contact interaction of two flexible Tymoshenko beams, under the action of a transversal alternating load is investigated. The contact interaction of the beams is taken into account by the Kantor model. The geometric nonlinearity is taken into account by the model of T. von Karman. The system of partial differential equations of the twelfth order reduces to the system of ordinary differential equations by the method of finite differences of the second order. The resulting system by methods of Runge-Kutta type of the second, fourth and eighth orders was solved. Our theoretical/numerical analysis is supported by methods of nonlinear dynamics and the qualitative theory of differential equations. Chaotic vibrations of two flexible beams of Timoshenko were investigated and the optimal step values over the spatial coordinate and the time steps for the numerical experiment were found. Convergence for all applicable numerical methods have been achieved and shown that chaotic signals are true. | ||
| 461 | 0 | |0 (RuTPU)RU\TPU\network\3526 |t Journal of Physics: Conference Series | |
| 463 | |t Vol. 944 : Applied Mechanics and System Dynamics |o XI International scientific and technical conference, 14–16 November 2017, Omsk, Russian Federation |v [012187, 7 p.] |d 2017 | ||
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| 610 | 1 | |a метод конечных разностей | |
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| 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 | |
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| 701 | 1 | |a Papkova |b I. V. |g Irina | |
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