Akademik Məlumat İdarəetmə Sistemi
Müəlliflər:
Əhmədov Natiq Qarakişi oğlu – Riyaziyyat və statistika kafedrasının müdiri
Elmi əsərin adı:
Torsional vibrations and waves in a radially inhomogeneous cylinder
Scopus linki:
https://www.scopus.com/pages/publications/105034566938
Elmi nəşrin adı:
Mathematics and Mechanics of Solids
Elmi əsərin nəşrin rəsmi saytındakı linki:
https://journals.sagepub.com/doi/10.1177/10812865261430669
Kvartili:
Q1 (90%), Q2
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.