Structural Engineering and Mechanics
Volume 71, Number 6, 2019, pages 713-738
DOI: 10.12989/sem.2019.71.6.713
3D dynamics of the oscillating-moving load acting in the interior of the hollow cylinder surrounded with elastic medium
Surkay D. Akbarov and Mahir A. Mehdiyev
Abstract
In the paper the dynamics of the oscillating moving load acting in the interior of the hollow cylinder surrounded with elastic medium is studied within the scope of the exact field equations of 3D elastodynamics. It is assumed that the oscillating load act on the certain arc of the internal circle of the cylinder\'s cross section and this load moves with constant velocity along the cylinder\'s axis. The corresponding 3D dynamic problem is solved by employing moving coordinate system, the exponential Fourier transform and the presentation these transforms with the Fourier series. The expressions of the transforms are determined analytically, however their originals are found numerically. Under the investigations carried out in the paper the main attention is focused on the so-called \"gyroscopic effect\", according to which, the influence of the vibration frequency on the values of the critical velocity and interface stresses are determined. Numerical results illustrated this effect are presented and discussed. In particular, it is established how the non-axisymmetricity of the problem acts on the influence of the load oscillation on its critical velocity and on the interface stresses.
Key Words
oscillating-moving load, 3D non-axisymmetric dynamic stress state, critical velocity, hollow cylinder, elastic medium, interface stresses, Fourier series
Address
Surkay D. Akbarov: 1Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering,
Yildiz Campus, 3349, Besiktas, Istanbul-Turkey
2Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, 37041, Baku, Azerbaijan
Mahir A. Mehdiyev: Azerbaijan State Economic University, Department of Mathematics, Baku, Azerbaijan