Guided wave propagation in cylindrical ducts with elastic walls enclosing a fluid moving with a uniform velocity

Kirby, Ray; Duan, Wenhui

doi:10.1016/j.wavemoti.2018.10.008

Cited by 10 publications

(3 citation statements)

References 22 publications

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“…In the case of anisotropy, while a similar Lamb wave analysis has been recently proposed [ 47 ], the coaxiality between stress and strain measures that permit this approach would no longer hold in the case of material anisotropy. Likewise, the presence of significant fluid flow would need to be incorporated into the fluid mechanics governing the wave propagation, such as was done in [ 48 ]. In such scenarios, the proposed approach may still offer a useful first approximation for studying the mechanics of these compartments, though greater estimation errors would be expected.…”

Section: Discussionmentioning

confidence: 99%

Non-Invasive Measurement of the Internal Pressure of a Pressurized Biological Compartment Using Lamb Waves

Rosen¹,

Larson²,

Alizad³

et al. 2022

IEEE Trans. Biomed. Eng.

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In this study, we propose a mechanical analysis for estimating the internal pressure of a finitely deformed spherical compartment from Lamb wave measurements. The proposed analysis produces a dispersion relation associating Lamb wave speed with pressure using limited material parameters (only a strain stiffening term). The analysis was validated on ultrasound bladder vibrometry (UBV) experiments collected from 9 ex vivo porcine bladders before and after formalin cross-linking. Estimated pressures were compared with pressures measured directly by a pressure transducer. The proposed analysis proved broadly effective at estimating pressure from UBV based Lamb wave without calibration as demonstrated by the observed concordance between estimated and measured pressures (Lin’s CCC = 0.82 (0.66–0.91). Theoretical limitations and potential refinements to improve the accuracy and generality of the approach are discussed.

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Section: Discussionmentioning

confidence: 99%

Non-Invasive Measurement of the Internal Pressure of a Pressurized Biological Compartment Using Lamb Waves

Rosen¹,

Larson²,

Alizad³

et al. 2022

IEEE Trans. Biomed. Eng.

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“…The tuning of device with widest stopband was achieved through the variation of parametric setting and height of membranes. In recent years, considerable research has been carried out on the usage of flexible components in the reactive devices (see, for instance, [7][8][9][10]). Lawrie [11] investigated the wave propagation in an infinite flexible cylindrical shell immersed in inviscid compressible fluid containing finite number of ring conditions.…”

Section: Introductionmentioning

confidence: 99%

Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell

Nawaz

Yaseen

Alkinidri

2023

Mathematics and Mechanics of Solids

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The present study examines the fluid-coupled wave response of a stepped elastic membrane discontinuity connecting a flexible shell to the annular rigid shell. The acoustic radiation from the internal and annular regions propagates along the flexible boundaries as well as through the compressible fluid that fills the interior of the shell and scatters at geometric discontinuity and edges. In contrast to previous studies, an elastic membrane disc with different boundary conditions is considered as the geometric discontinuity rather than an acoustically rigid step-discontinuity in a cylindrical waveguide. The problem governed by the rigid step-discontinuity is solved using the mode matching technique, while the Galerkin procedure is used for the elastic membrane discontinuity. The truncated form of both solutions reconstructs the matching conditions and satisfies the conservation laws, which further authenticate the correctness of the solutions and the validity of the obtained numerical results based on these solutions. It is worth noting that the parametric configuration of the elastic membranes, the edge conditions and the radii of the shells have a significant impact on the attenuation of the noise control device.

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“…Quintanilla developed a spectral matching method for calculating dispersion curves in generally anisotropic viscoelastic media in both planar and cylindrical geometries [25]. Kirby et al analyzed the effects of average uniform fluid flow with cylindrical geometry on the vibration of the pipe wall driven by acoustic waves through analytical, numerical, and experimental analysis [26]. Zheng provided reliable mathematical solutions for wave propagation in anisotropic hollow cylindrical bodies [27].…”

Section: Introductionmentioning

confidence: 99%

Acoustic Characteristics Analysis of Double-Layer Liquid-Filled Pipes Based on Acoustic–Solid Coupling Theory

Yan,

Li,

Zou

et al. 2023

Applied Sciences

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Based on the theory of acoustic–solid coupling, the phase velocity-thickness product of a double-layer liquid-filled pipeline is analyzed, and the dispersion relationship between angular frequency and wavenumber–thickness product is analyzed, providing a theoretical basis for ultrasonic guided wave detection. The wave number analytical expression of the double-layer liquid-filled pipeline is constructed, and the dispersion relationship of the double-layer liquid-filled pipeline under different frequency–thickness products and wavenumber–thickness products is calculated through parameter scanning. The dispersion curves of the double-layer liquid-filled pipeline are numerically analyzed in the domains of pressure acoustics, solid mechanics, and acoustic–solid coupling. The numerically simulated dispersion curves show high consistency with the analytically calculated dispersion curves. The analysis of the phase velocity frequency–thickness product indicates that the axial mode dispersion curves of the pipe wall decrease with the increase in frequency–thickness product in the coupling domain, and then tend to be flat and intersect with the radial mode dispersion curves in the coupling domain; these intersection points cannot be used for ultrasonic guided wave detection. The T(0,1) mode dispersion curve in the coupling domain of the pressure acoustics domain remains smooth from low frequency to high frequency. It is found that the dispersion curves of the phase velocity frequency–thickness product, angular frequency wavenumber–thickness product, and the acoustic pressure distribution map of the double-layer liquid-filled pipeline based on acoustic–solid coupling can provide theoretical support for ultrasonic guided wave detection of pipelines.

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Guided wave propagation in cylindrical ducts with elastic walls enclosing a fluid moving with a uniform velocity

Cited by 10 publications

References 22 publications

Non-Invasive Measurement of the Internal Pressure of a Pressurized Biological Compartment Using Lamb Waves

Non-Invasive Measurement of the Internal Pressure of a Pressurized Biological Compartment Using Lamb Waves

Fluid–structure coupled response of dynamical surfaces tailored in a flexible shell

Acoustic Characteristics Analysis of Double-Layer Liquid-Filled Pipes Based on Acoustic–Solid Coupling Theory

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