61910

Автор(ы): 

Автор(ов): 

5

Параметры публикации

Тип публикации: 

Доклад

Название: 

Contact interaction of flexible Timoshenko beams with small deflections

Электронная публикация: 

Да

ISBN/ISSN: 

17426588

DOI: 

10.1088/1742-6596/944/1/012087

Наименование конференции: 

  • 11th International Scientific and Technical Conference on Applied Mechanics and Dynamics Systems (AMSD, 2018)

Наименование источника: 

  • Proceeding of the 11th International Scientific and Technical Conference on Applied Mechanics and Dynamics Systems (AMSD, 2018)

Обозначение и номер тома: 

944 (1), статья № 012087

Город: 

  • Омск

Издательство: 

  • Institute of Physics Publishing

Год издания: 

2018

Страницы: 

https://iopscience.iop.org/article/10.1088/1742-6596/944/1/012087/meta
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. © Published under licence by IOP Publishing Ltd.

Библиографическая ссылка: 

Захарова А.А., Папкова И.В., Крысько В.А., Крысько А.В., Салтыкова О.А. Contact interaction of flexible Timoshenko beams with small deflections / Proceeding of the 11th International Scientific and Technical Conference on Applied Mechanics and Dynamics Systems (AMSD, 2018). Омск: Institute of Physics Publishing, 2018. 944 (1), статья № 012087. С. https://iopscience.iop.org/article/10.1088/1742-6596/944/1/012087/meta.