MATEC Web Conf.
Volume 86, 20165th International Scientific Conference “Integration, Partnership and Innovation in Construction Science and Education”
|Number of page(s)||5|
|Section||1 Structural mechanics|
|Published online||28 November 2016|
The research of vibrations of the beam with the attached system of mass-spring-damper using functions Tymoshenko
Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, Moscow, 129337, Russian Federation
* Corresponding author: email@example.com
In the article , is considered a classic method for analyze the dynamics of the loaded beam, as a result leading to the solution of a system of transcendental equations for the eigenvalues. In this paper, shall show that perhaps the solution using functions Tymoshenko arising in the analysis of the free beam vibrations. As a result, the problem will be reduced to infinite dimensional system of differential equations satisfying the conditions for the approximate solution.
© The Authors, published by EDP Sciences, 2016
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