| Issue |
MATEC Web Conf.
Volume 196, 2018
XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|
|
|---|---|---|
| Article Number | 01056 | |
| Number of page(s) | 6 | |
| Section | Structural Mechanics | |
| DOI | https://doi.org/10.1051/matecconf/201819601056 | |
| Published online | 03 September 2018 | |
Vibrations of a Timoshenko beam on an inertial foundation under a moving load
Warsaw University of Technology, Faculty of Civil Engineering,
16 Lech Kaczyński Str.,
00-637 Warsaw,
Poland
*
Corresponding author : m.ataman@il.pw.edu.pl
In the paper vibrations of the Timoshenko beam on an inertial foundation subjected to a moving force are discussed. Considered model of the inertial foundation is described by three parameters. They take into account elasticity, shear and inertia of the subgrade. In the literature such model of the subgrade is called Vlasov or Vlasov-Leontiev model. The Timoshenko beam is traversed by a concentrated load, moving with uniform speed. Response of the beam is found from the governing equations of motion of the problem. Problem of forced vibrations and problem of free vibrations of the beam are solved. Damping of the system is taken into consideration. Solution of the problem is illustrated by numerical example.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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