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http://earchive.tpu.ru/handle/11683/57830
Название: | Contact interaction of flexible Timoshenko beams with small deflections |
Авторы: | Krysko, Anton Vadimovich Saltykova, Olga Aleksandrovna Zakharova, Alena Alexandrovna Krysko, Vadim Papkova, Irina |
Ключевые слова: | пучки; контактное взаимодействие; хаос; метод конечных разностей; метод Рунге-Кутта; геометрическая нелинейность |
Дата публикации: | 2017 |
Издатель: | IOP Publishing |
Библиографическое описание: | Contact interaction of flexible Timoshenko beams with small deflections / A. V. Krysko [et al.] // Journal of Physics: Conference Series. — 2017. — Vol. 944 : Applied Mechanics and System Dynamics : XI International scientific and technical conference, 14–16 November 2017, Omsk, Russian Federation. — [012187, 7 p.]. |
Аннотация: | 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. |
URI: | http://earchive.tpu.ru/handle/11683/57830 |
Располагается в коллекциях: | Материалы конференций |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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conf-nw-24932.pdf | 4,16 MB | Adobe PDF | Просмотреть/Открыть |
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