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Forced vibrations of a bubble in a liquid-filled elastic vessel
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10.1121/1.3646904
/content/asa/journal/jasa/130/5/10.1121/1.3646904
http://aip.metastore.ingenta.com/content/asa/journal/jasa/130/5/10.1121/1.3646904
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Geometry and dimensions of a bubble located in the middle of a cylindrical blood vessel. are the global coordinates, and are the local coordinates on the bubble surface. A, B, and C are monitoring points for analysis of numerical results.

Image of FIG. 2.
FIG. 2.

The deformed shapes of the vessel wall and the bubble at the end of the insonation period (deformations are shown magnified by 20 times). (a)  = 1 MHz, (b)  = 2 MHz, (c)  = 3 MHz.  = 3 ,  = 4 ,  = 1 ,  = 0 ,  = 5 MPa,  = 0.5.

Image of FIG. 3.
FIG. 3.

Variation of relative pressure in liquid at points A, B, and C [Figs. 1(a) and 1(b)], and the spectra of the incident pressure pulse described by Eq. (9) and pressure oscillations at points B and C (c).  = 3 ,  = 4 ,  = 1 ,  = 0 ,  = 5 MPa,  = 0.5,  = 1 MHz <  2.3 MHz.

Image of FIG. 4.
FIG. 4.

Same as Fig. 3,  = 2 MHz 2.3 MHz.

Image of FIG. 5.
FIG. 5.

Same as Fig. 3,  = 3 MHz >  2.3 MHz.

Image of FIG. 6.
FIG. 6.

Dispersion of the phase speed according to the results of the FEM calculations in comparison with the theoretical Eqs. (3), (6), and (7).  = 3 ,  = 4 ,  = 5 MPa,  = 0.5.

Image of FIG. 7.
FIG. 7.

Variation of the propagated wavelength with the frequency. The results are obtained based on the phase speed dispersion spectra shown in Fig. 6.

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/content/asa/journal/jasa/130/5/10.1121/1.3646904
2011-11-16
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Forced vibrations of a bubble in a liquid-filled elastic vessel
http://aip.metastore.ingenta.com/content/asa/journal/jasa/130/5/10.1121/1.3646904
10.1121/1.3646904
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