Acoustic waves in functionally graded rods: polynomial inhomogeneity

The harmonic acoustic waves in a semi-infinite functionally graded (FG) 1D rod with a longitudinal arbitrary inhomogeneity are analyzed by a combined method based on the modified Cauchy formalism and the exponential matrix method. The closed form dispersion equations for harmonic waves are construct...

Full description

Saved in:
Bibliographic Details
Published in:Mechanics of advanced materials and structures 2023-12, Vol.30 (23), p.4828-4834
Main Author: Kuznetsov, S. V.
Format: Article
Language:English
Subjects:
Acoustic wave
Acoustic waves
displacement magnitude
Functionally gradient materials
Inhomogeneity
inhomogeneous rod
longitudinal inhomogeneity
Matrix methods
Polynomials
Rods
signal attenuation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The harmonic acoustic waves in a semi-infinite functionally graded (FG) 1D rod with a longitudinal arbitrary inhomogeneity are analyzed by a combined method based on the modified Cauchy formalism and the exponential matrix method. The closed form dispersion equations for harmonic waves are constructed, yielding the implicit dispersion relations for acoustic waves in FG rods. For longitudinal inhomogeneity of polynomial type the corresponding dispersion relations are constructed explicitly.
ISSN:1537-6494
1537-6532
DOI:10.1080/15376494.2022.2106524