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Coupled Systems Mechanics
  Volume 7, Number 5, October 2018 , pages 525-554
DOI: https://doi.org/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
 

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