| Issue |
MATEC Web Conf.
Volume 86, 2016
5th International Scientific Conference “Integration, Partnership and Innovation in Construction Science and Education”
|
|
|---|---|---|
| Article Number | 01025 | |
| Number of page(s) | 5 | |
| Section | 1 Structural mechanics | |
| DOI | https://doi.org/10.1051/matecconf/20168601025 | |
| 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: ar1on@mail.ru
In the article [1], 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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