An anisotropic model for frequency analysis of arterial walls with the wave propagation approach

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5 Citations (Scopus)

Abstract

An anisotropic model for calculating natural frequency of arterial walls is proposed in this paper. The first-order shear deformation theory (FSDT) is used for the arterial walls, and the wave propagation approach is applied that can easily handle the boundary conditions. Results obtained using this model have been evaluated against those available in the literature and the agreement has been found to be good. Experiments were carried out on a natural rubber latex tube. The relative differences of the first four natural frequencies between the experiment and the theory are less than 7%. The variation of the natural frequency of this tube with the longitudinal and circumferential modes m and n is studied which suggests the first four natural frequencies are with n = 1 and m = 1-4. Simulations show that classical Donnell's, Love's and beam theories are not suitable for this thick tube while FSDT results closely agree with the experiment. The anisotropy of circumferential elastic modulus on natural frequencies of the tube is analyzed.

Original languageEnglish (US)
Pages (from-to)953-969
Number of pages17
JournalApplied Acoustics
Volume68
Issue number9
DOIs
StatePublished - Sep 2007

Fingerprint

Wave propagation
resonant frequencies
wave propagation
Natural frequencies
tubes
Shear deformation
shear
Experiments
latex
Latexes
rubber
modulus of elasticity
Rubber
Anisotropy
Elastic moduli
Boundary conditions
boundary conditions
anisotropy
simulation

Keywords

  • Anisotropic
  • Arterial wall
  • Frequency analysis
  • Wave propagation approach

ASJC Scopus subject areas

  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

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title = "An anisotropic model for frequency analysis of arterial walls with the wave propagation approach",
abstract = "An anisotropic model for calculating natural frequency of arterial walls is proposed in this paper. The first-order shear deformation theory (FSDT) is used for the arterial walls, and the wave propagation approach is applied that can easily handle the boundary conditions. Results obtained using this model have been evaluated against those available in the literature and the agreement has been found to be good. Experiments were carried out on a natural rubber latex tube. The relative differences of the first four natural frequencies between the experiment and the theory are less than 7{\%}. The variation of the natural frequency of this tube with the longitudinal and circumferential modes m and n is studied which suggests the first four natural frequencies are with n = 1 and m = 1-4. Simulations show that classical Donnell's, Love's and beam theories are not suitable for this thick tube while FSDT results closely agree with the experiment. The anisotropy of circumferential elastic modulus on natural frequencies of the tube is analyzed.",
keywords = "Anisotropic, Arterial wall, Frequency analysis, Wave propagation approach",
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AU - Zhang, Xiaoming

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AB - An anisotropic model for calculating natural frequency of arterial walls is proposed in this paper. The first-order shear deformation theory (FSDT) is used for the arterial walls, and the wave propagation approach is applied that can easily handle the boundary conditions. Results obtained using this model have been evaluated against those available in the literature and the agreement has been found to be good. Experiments were carried out on a natural rubber latex tube. The relative differences of the first four natural frequencies between the experiment and the theory are less than 7%. The variation of the natural frequency of this tube with the longitudinal and circumferential modes m and n is studied which suggests the first four natural frequencies are with n = 1 and m = 1-4. Simulations show that classical Donnell's, Love's and beam theories are not suitable for this thick tube while FSDT results closely agree with the experiment. The anisotropy of circumferential elastic modulus on natural frequencies of the tube is analyzed.

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