Low-frequency vibrations of a thin-walled functionally graded cylinder (plane strain problem)

N Ege, B Erbaş, J Kaplunov, N Noori - Mechanics of Advanced …, 2023 - Taylor & Francis
Low frequency vibrations of a thin walled functionally graded cylinder are considered within
the plane strain framework. The dynamic relations in elasticity are subject to asymptotic …

Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell

N Ege, B Erbaş, J Kaplunov, N Noori - Zeitschrift für angewandte …, 2023 - Springer
The general scaling underlying the asymptotic derivation of 2D theory for thin shells from the
original equations of motion in 3D elasticity fails for cylindrical shells due to the cancellation …

A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell

H Yücel, N Ege, B Erbaş… - … and Mechanics of Solids, 2024 - journals.sagepub.com
The proposed revisit to a classical problem in fluid–structure interaction is due to an interest
in the analysis of the narrow resonances corresponding to a low-frequency fluid-borne …

A Wronskian method for elastic waves propagating along a tube

CJ Chapman, SV Sorokin - Proceedings of the Royal …, 2021 - royalsocietypublishing.org
A technique involving the higher Wronskians of a differential equation is presented for
analysing the dispersion relation in a class of wave propagation problems. The technique …

The Lowest Eigenfrequencies of an Immersed Thin Elastic Cylindrical Shell

H Yücel, B Erbaş, N Ege, J Kaplunov - Advances in Linear and Nonlinear …, 2023 - Springer
The plane strain time-harmonic motion of an immersed cylindrical elastic shell is considered.
The revisit to this classical problem is motivated by modern technical applications, including …

A Poisson scaling approach to backward wave propagation in a tube

CJ Chapman, SV Sorokin - Philosophical Transactions of …, 2022 - royalsocietypublishing.org
A mathematical analysis of wave propagation along an elastic cylindrical tube is presented,
with the aim of determining the range of Poisson's ratio for which backward wave …

Asymptotic models for surface waves in coated elastic solids

AMA Mubaraki - 2021 - keele-repository.worktribe.com
This thesis deals with surface wave propagation in elastic solids. It develops further the
methodology of asymptotic hyperbolic-elliptic models for the surface elastic waves, aiming at …

Forced vibrations of a FGM thin-walled cylinder under fluid loading

H Yücel - Zeitschrift für angewandte Mathematik und Physik, 2025 - Springer
Forced low-frequency vibrations of a functionally graded thin-walled cylindrical shell
submerged in a compressible fluid are investigated. The problem undergoes asymptotic …

Asymptotic corrections to the low frequency theory for a cylindrical elastic shell

J Kaplunov, N Ege, B Erbaş, N Noori - 2022 - researchsquare.com
The general scaling underlying the asymptotic derivation of 2D theory for thin shells from the
original equations of motion in 3D elasticity fails for cylindrical shells due to the cancelation …

Asymptotic derivation of consistent thin shell equations for a fluid-loaded elastic annulus

K JULIUS, E NIHAL - PRIKLADNAYA MEKHANIKA, 2024 - elibrary.ru
The classical time-harmonic plane strain problem for a fluid-loaded cylindrical elastic shell is
revisited. The results of the low-frequency asymptotic analysis, including explicit formulae for …