On the steady-state characteristics of circumferential waves in a two-layered cylinder

Christine Valle, Jianmin Qu, Laurence J. Jacobs

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A two dimensional, infinitely long hollow cylinder with an inner shaft is considered in this paper. The interface is assumed to be a perfect, infinitely thin layer of inviscid fluid, and the outer surfaces of the cylinder are traction free. Thus the shear stress is assumed to be zero at the interface, but the normal stress and radial displacements are continuous. The problem of steady state, time harmonic waves propagating along the circumference is studied. The dispersion equation is obtained through the exact equations of elasticity and the dispersion curves are calculated for the first five propagating modes. Displacement profiles along the radial direction are included for those same modes. Comparisons are made with the dispersion curves of a full cylinder of same outer radius, and a hollow cylinder of the same dimensions as the one holding the inner shaft. The material is the same for all cases, and assumed to be isotropic and linearly elastic. It is found that the Rayleigh wave mode is almost identical for the full cylinder and the hollow cylinder with the shaft, and in fact those two cases have mostly similar dispersion branches, except for low frequencies. However the dispersion curves of the hollow cylinder by itself are quite different from the other two, especially at low frequencies.

Original languageEnglish
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Pages99-105
Number of pages7
StatePublished - 1999
EventOn The Recent Advances of the Ultrasonic Nondestructive Evaluation and Composite Material Characterization - 1999 (The ASME International Mechanical Engineering Congress and Exposition) - Nashville, TN, USA
Duration: 14 Nov 199919 Nov 1999

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume234
ISSN (Print)0160-8835

Conference

ConferenceOn The Recent Advances of the Ultrasonic Nondestructive Evaluation and Composite Material Characterization - 1999 (The ASME International Mechanical Engineering Congress and Exposition)
CityNashville, TN, USA
Period14/11/9919/11/99

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