Investigation of the distribution of elastic waves in the composite cylinder with the initial torch
- Authors: Guliyev M.S1, Seyfullayev A.I2, Abdullayeva J.N3
- Affiliations:
- Ganja State University
- Institute of Mathematics and Mechanics of the Azerbaijan National Academy of Sciences
- Azerbaijan State Pedagogical University
- Issue: Vol 14, No 5 (2018)
- Pages: 404-413
- Section: Problems of theory of elasticity
- URL: http://journals.rudn.ru/structural-mechanics/article/view/20206
- DOI: https://doi.org/10.22363/1815-5235-2018-14-5-404-413
- Cite item
Abstract
The aim of work. The work is devoted to the study of the propagation of axisymmetric longitudinal waves in a compound cylinder with initial torsion. Solution technique. The initial stresses in the cylinder are determined using the classical linear theory of elasticity. Methods for solving corresponding problems of intrinsic significance are proposed. Numerical results are given and their analysis is carried out. Results. It was found that the presence of initial torsion in cylinders does not exclude the appearance of an axisymmetric longitudinal and axisymmetric waves in a compound cylinder separately. It is found that, in the absence of initial torsion in the compound cylinder, there are intersection points between the dispersion curves corresponding to the modes of axially symmetric longitudinal and torsional waves. It is shown that in the case when initial torsion takes place on at least one cylinder, the axisymmetric longitudinal and torsional waves can not propagate separately, i.e. there is an interference between these two types of axisymmetric waves in a composite cylinder. Methods for solving the problem are developed and corresponding dispersion equations for a compound cylinder are obtained. Dispersion equations are solved and dispersion curves are obtained, an algorithm is developed for constructing these curves.
About the authors
Mugan S Guliyev
Ganja State University
Author for correspondence.
Email: a.seyfullayev@yahoo.com
187 Sh.I. Xatai Avenue, Ganja, AZ2000, Republic of Azerbaijan
Dr Sci. (Phys.-Math.), Professor, Faculty of General Technical Disciplines, Department of Physics
Alizade I Seyfullayev
Institute of Mathematics and Mechanics of the Azerbaijan National Academy of Sciences
Email: a.seyfullayev@yahoo.com
9 B. Vahabzade, Baku, AZ1143, Republic of Azerbaijan
Cand. Sci. (Phys.Math.), Chief Research Fellow, Professor Assistant, Department of Wave Dynamics, Institute of Mathematics and Mechanics
Jamile N Abdullayeva
Azerbaijan State Pedagogical University
Email: a.seyfullayev@yahoo.com
68 Uzeyir Hacibeyli, Baku, AZ1000, Republic of Azerbaijan
Lecturer, Department of Methodology for Mathematics
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