| Issue |
MATEC Web Conf.
Volume 117, 2017
RSP 2017 – XXVI R-S-P Seminar 2017 Theoretical Foundation of Civil Engineering
|
|
|---|---|---|
| Article Number | 00102 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1051/matecconf/201711700102 | |
| Published online | 24 July 2017 | |
Application of type Timoshenko equations for shock action
1 Keldysh Institute of Applied Mathematics, Miusskaya sq. 4, Moscow, 125047, Russia
2 Moscow state university of civil engineering, Yaroslavskoye shosse, 26, Moscow, Russia, 129337
* Corresponding author: zveriaev@gmail.com
The generalized Timoshenko type equations are obtained from the plane problem equations of the theory elasticity. They might be applied for quick acting forces or displacements problems as the transversal shock on a beam or quick displacement of beam ends. The quick and slow solutions components аге extracted. The quick ones describe the propagation of the shear wave due to the action of a concentrated force or an explosion; the slow solutions are generated by the common verification of the boundary conditions the slow and quick solutions.
© The Authors, published by EDP Sciences, 2017
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