On March 31, 2026, a scientific article by a staff member of UNEC was indexed in the Web of Science database. 06 April 2026

On March 31, 2026, a scientific article by a staff member of UNEC was indexed in the Web of Science database.

Akhmedov Natiq Garakishi (Department of Mathematics and Statistics)

Links to the author's profiles in Web of Science and Scopus:
Akhmedov Natiq:
https://www.scopus.com/authid/detail.uri?authorId=24392187600&origin=recordpage and https://www.webofscience.com/wos/author/record/2387311

Title of the scientific work: Torsional vibrations and waves in a radially inhomogeneous cylinder
Publication date: 31.03.2026
Link confirming indexing in Web of Science or Scopus:
https://www.webofscience.com/wos/woscc/full-record/WOS:001729434800001

Type of scientific work: Article
Digital Object Identifier: 10.1177/10812865261430669
Name of the scientific journal: Mathematics and Mechanics of Solids
Link to the official publication page:
https://journals.sagepub.com/doi/10.1177/10812865261430669

Quartile: Q2
Countries represented by co-authors: none

Summary:

Abstract

This paper studies the problem of torsional vibration of a radially inhomogeneous isotropic cylinder. It is assumed that the elastic moduli and the density of the cylinder material are power functions of the cylinder radius. Cases where the lateral surface of the cylinder is free from stresses and fixed are studied. After satisfying homogeneous boundary conditions specified on the lateral surfaces of the cylinder, dispersion equations are obtained. Exact solutions to the problem are constructed. For a cylinder of small thickness, an analysis of the roots of the dispersion equations with respect to a small parameter characterizing the cylinder thickness is performed. Asymptotic solutions are constructed that allow calculating the three-dimensional stress–strain state of a radially inhomogeneous isotropic cylinder of small thickness. The propagation of torsional elastic waves in a radially layered cylinder consisting of alternating hard and soft layers is investigated. A theorem on the stratification of the thickness resonance frequency is obtained. In the vicinity of the origin, in the vicinity of the thickness resonance frequency, for sufficiently large values of the wavenumber and frequency, when their ratio is finite, asymptotic curves for dispersion curves are determined. Using a combination of asymptotic and numerical analysis, dispersion curves for a three-layer cylinder are constructed