Open Access

ARTICLE

The Interface Stress Field in the Elastic System Consisting of the Hollow Cylinder and Surrounding Elastic Medium Under 3D Non-axisymmetric Forced Vibration

Surkay D. Akbarov^{1, 2, *}, Mahir A. Mehdiyev³

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 Sciences of Azerbaijan, 37041 Baku, Azerbaijan.
3 Azerbaijan State University of Economics (UNEC), Department of Mathematics, 1001, Baku, Azerbaijan.

*Corresponding Author: Surkay D. Akbarov. Email: .

Computers, Materials & Continua 2018, 54(1), 61-81. https://doi.org/10.3970/cmc.2018.054.061

Abstract

The paper develops and employs analytical-numerical solution method for the study of the time-harmonic dynamic stress field in the system consisting of the hollow cylinder and surrounding elastic medium under the non-axisymmetric forced vibration of this system. It is assumed that in the interior of the hollow cylinder the point-located with respect to the cylinder axis, non-axisymmetric with respect to the circumferential direction and uniformly distributed time-harmonic forces act. Corresponding boundary value problem is solved by employing of the exponential Fourier transformation with respect to the axial coordinate and by employing of the Fourier series expansion of these transformations. Numerical results on the frequency response of the interface normal stresses are presented and discussed.

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Keywords

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