Coupled Systems Mechanics

Volume 7, Number 5, 2018, pages 525-554

DOI: 10.12989/csm.2018.7.5.525

Dynamics of the system consisting of the hollow cylinder and surrounding infinite elastic medium under action an oscillating moving ring load on the interior of the cylinder

Surkay D. Akbarov and Mahir A. Mehdiyev

Abstract

The paper deals with the study of the dynamics of the oscillating moving ring load acting in the interior of the hollow circular cylinder surrounded by an elastic medium. The axisymmetric loading case is considered and the study is made by employing the exact equations and relations of linear elastodynamics. The focus is on the influence of the oscillation of the moving load and the problem parameters such as the cylinder\'s thickness/radius ratio on the critical velocities. At the same time, the dependence between the interface stresses and load moving velocity under various frequencies of this load, as well as the frequency response of the mentioned stresses under various load velocity are investigated. In particular, it is established that oscillation of the moving load can cause the values of the critical velocity to decrease significantly and at the same time the oscillation of the moving load can lead to parametric resonance. It is also established that the critical velocity decreases with decreasing of the cylinder\'s thickness/radius ratio.

Key Words

critical velocity; oscillating moving load; frequency response; parametric resonance; stress distribution

Address

Surkay D. Akbarov: 1) Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus, 34349, Besiktas, Istanbul-Turkey 2) Institute of Mathematics and Mechanics of National Academy of Science of Azerbaijan, 37041, Baku, Azerbaijan Mahir A. Mehdiyev: 1) Institute of Mathematics and Mechanics of National Academy of Science of Azerbaijan, 37041, Baku, Azerbaijan 2) Azerbaijan State Economic University, Department of Mathematics, Baku, Azerbaijan