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Structural Engineering and Mechanics Volume 67, Number 2, July25 2018 , pages 185-206 DOI: https://doi.org/10.12989/sem.2018.67.2.185 |
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Three-dimensional dynamics of the moving load acting on the interior of the hollow cylinder surrounded by the elastic medium |
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S. D. Akbarov, M.A. Mehdiyev and M. Ozisik
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| Abstract | ||
| This paper studies the non-axisymmetric 3D problem on the dynamics of the moving load acting in the interior of the hollow cylinder surrounded with elastic medium and this study is made by utilizing the exact equations of elastodynamics. It is assumed that in the interior of the cylinder the point located with respect to the cylinder axis moving forces act and the distribution of these forces is non-axisymmetric and is located within a certain central angle. The solution to the problem is based on employing the moving coordinate method, on the Fourier transform with respect to the spatial coordinate indicated by the distance of the point on the cylinder axis from the point at which the moving load acts, and on the Fourier series presentation of the Fourier transforms of the sought values. Numerical results on the critical moving velocity and on the distribution of the interface normal and shear stresses are presented and discussed. In particular, it is established that the non-axisymmetricity of the moving load can decrease significantly the values of the critical velocity. | ||
| Key Words | ||
| non-axisymmetric moving load; critical velocity; hollow cylinder; elastic medium; interface stresses; Fourier series | ||
| Address | ||
| S. D. Akbarov: 1) Department of Mechanical Engineering, Faculty of Mechanical Engineering, Yildiz Technical University, Yildiz Campus, 34349 Besiktas, Istanbul, Turkey 2) Institute of Mathematics and Mechanics, National Academy of Science of Azerbaijan, AZ1141, Baku, Azerbaijan M.A. Mehdiyev: Department of Mathematics, Azerbaijan State University of Economics (UNEC), 1001, Baku, Azerbaijan M. Ozisik: Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, Davutpasa Campus, 34220, Esenler, Istanbul, Turkey | ||