Contact interaction of flexible Timoshenko beams with small deflections

I. V. Papkova, A. V. Krysko, O. A. Saltykova, A. A. Zakharova, V. A. Krysko

Результат исследований: Материалы для журнала

1 Цитирования (Scopus)

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.

Язык оригиналаАнглийский
Номер статьи012087
ЖурналJournal of Physics: Conference Series
Том944
Номер выпуска1
DOI
СостояниеОпубликовано - 30 янв 2018
Событие11th International Scientific and Technical Conference on Applied Mechanics and Dynamics Systems, AMSD 2017 - Omsk, Российская Федерация
Продолжительность: 14 ноя 201716 ноя 2017

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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