The propagation of elastic surface waves along cylindrical cavities of general cross section
type: Item
instance of: scholarly article
title: The propagation of elastic surface waves along cylindrical cavities of general cross section
zbMATH Open document ID: 0553.73015
DOI: 10.1016/0165-2125(85)90043-5
author: A. D. Burden
published in: Wave Motion
publication date: 1985-01-01T00:00:00Z
review text: The existence of surface wave modes, propagating along an infinite cylindrical cavity of arbitrary constant cross section in an elastic medium, is investigated theoretically. A general secular equation is derived using the null-field approach and global expansions of the surface displacements. Numerical results for the phase velocities, surface displacements and cut-off frequencies are presented for elliptic cross sections. The largest eccentricity considered is 0.99995 and it is inferred that the flexural mode exists at all frequencies for any eccentricity of the cross section.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3881944
zbMATH Keywords: existence
zbMATH Keywords: wave modes
zbMATH Keywords: infinite cylindrical cavity
zbMATH Keywords: arbitrary constant cross section
zbMATH Keywords: elastic medium
zbMATH Keywords: general secular equation
zbMATH Keywords: null-field approach
zbMATH Keywords: global expansions of the surface displacements
zbMATH Keywords: Numerical results
zbMATH Keywords: phase velocities
zbMATH Keywords: cut-off frequencies
zbMATH Keywords: elliptic cross sections
MaRDI profile type: Publication
full work available at URL: 0165-2125(85)90043-5
OpenAlex ID: W1980350921
cites work: Propagation of Elastic Waves in a Cylindrical Bore Containing a Fluid
cites work: Propagation of Acoustic Waves in a Liquid-Filled Cylindrical Hole, Surrounded by an Elastic Solid
cites work: New Formulation of Acoustic Scattering
cites work: Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves
cites work: Scattering matrix for elastic waves. I. Theory
cites work: Matrix theory of elastic wave scattering
cites work: Propagation of high frequency elastic surface waves along cylinders of general cross section
cites work: High frequency approximations for elastic surface waves propagating along cylinders of general cross section
cites work: Propagation of High-Frequency Elastic Surface Waves Along Cylinders With Various Cross-Sectional Shapes
cites work: Periodic Sigma Functions
description: scientific article; zbMATH DE number 3881944