Contact interaction of flexible Timoshenko beams with small deflections

Contact interaction of flexible Timoshenko beams with small deflections

Bibliographic Details
Parent link:Journal of Physics: Conference Series
Vol. 944 : Applied Mechanics and System Dynamics.— 2017.— [012187, 7 p.]
Corporate Author: Национальный исследовательский Томский политехнический университет Инженерная школа информационных технологий и робототехники Отделение автоматизации и робототехники (ОАР)
Other Authors: Krysko A. V. Anton Vadimovich, Saltykova O. A. Olga Aleksandrovna, Zakharova A. A. Alena Alexandrovna, Krysko V. A. Vadim, Papkova I. V. Irina
Summary: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.
Published: 2017
Subjects:
электронный ресурс
труды учёных ТПУ
пучки
контактное взаимодействие
хаос
метод конечных разностей
метод Рунге-Кутта
геометрическая нелинейность
Online Access:https://doi.org/10.1088/1742-6596/944/1/012087
http://earchive.tpu.ru/handle/11683/57830
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=657971

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