EFFECTS OF INITIAL DEFORMATION IN THIN TUBES ON WAVE REFLECTION AND TRANSMISSION AT MECHANICAL MISMATCH

Hart V.G. and Shi J.-Y. (1995) EFFECTS OF INITIAL DEFORMATION IN THIN TUBES ON WAVE REFLECTION AND TRANSMISSION AT MECHANICAL MISMATCH. Journal of Sound and Vibration, 188 4: 461-478. doi:10.1006/jsvi.1995.0605


Author Hart V.G.
Shi J.-Y.
Title EFFECTS OF INITIAL DEFORMATION IN THIN TUBES ON WAVE REFLECTION AND TRANSMISSION AT MECHANICAL MISMATCH
Journal name Journal of Sound and Vibration   Check publisher's open access policy
ISSN 0022-460X
Publication date 1995-12-14
Sub-type Article (original research)
DOI 10.1006/jsvi.1995.0605
Open Access Status
Volume 188
Issue 4
Start page 461
End page 478
Total pages 18
Subject 2210 Mechanical Engineering
2211 Mechanics of Materials
3102 Acoustics and Ultrasonics
3104 Condensed Matter Physics
Abstract The aim of this paper is to investigate the reflection and transmission of deformations and stress waves in two initially deformed thin dissimilar orthotropic elastic tubes joined longitudinally and containing pulsatile fluid flow. In the undeformed state the tubes have the same radius. In the initially deformed state, the area of the cross-section around the joint varies with axial distance, but far upstream and downstream of the joint the cross-sections are essentially uniform. The segment of joined tube with varying cross-section is approximated as a discontinuous change of the cross-sectional area when the wavelength is long enough compared to the diameter of the tubes. Then superposition of two Womersley solutions for a single frequency is used in each tube, and continuity conditions for both the fluid and the tubes are used. The effects of the initial stretch ratios on reflection and transmission are illustrated for a blood pulse in a natural artery joined with an artificial graft. Numerical calculations for the amplitudes of reflected and transmitted waves at the joint are made, and also for the corresponding energy flow rates. It appears that only the faster of the two incident waves considered leads to a significant mixing of wave types at the joint. The theoretical approach is justified since it would be extremely difficult to find the stresses at the joint experimentally.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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