Akademik Məlumat İdarəetmə Sistemi
Mülliflər:
Professor Əhmədov Natiq Qarakişi oğlu - Riyaziyyat və statistika kafedrasının müdiri
Müəllifin Web of Science və Scopus
müəllif profillərinin linkləri:
Akhmedov Natiq:
https://www.scopus.com/authid/detail.uri?authorId=24392187600&origin=recordpage və https://www.webofscience.com/wos/author/record/2387311
Elmi əsərin adı: Torsional
vibrations and waves in a radially inhomogeneous cylinder
Nəşr tarixi: 31.03.2026
Elmi əsərin Scopus və ya Web of
Science indekslənməsini təsdiq edən link:
https://www.webofscience.com/wos/woscc/full-record/WOS:001729434800001
Elmi əsərin növü: Məqalə
Digital Object Identifier: 10.1177/10812865261430669
Elmi nəşrin adı: MATHEMATICS AND
MECHANICS OF SOLIDS
Elmi əsərin nəşrin rəsmi
saytındakı linki:
https://journals.sagepub.com/doi/10.1177/10812865261430669
Kvartili: Q2
Həmmüəllifin təmsil etdiyi ölkələr:
Yoxdur
Xülasə:
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