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Research Papers

SPICE Modeling Nonlinearity Effects on Ultrasonic Waves

[+] Author and Article Information
Noureddine Aouzale

Electrical Systems and Telecommunications Laboratory,  CADI AYYAD University, FST PB 549, 40000 Gueliz Marrakech, MoroccoAouzale_noureddine@yahoo.fr

Ahmed Chitnalah

Electrical Systems and Telecommunications Laboratory,  CADI AYYAD University, FST PB 549, 40000 Gueliz Marrakech, MoroccoChitnala@yahoo.com

Hicham Jakjoud

Electrical Systems and Telecommunications Laboratory,  CADI AYYAD University, FST PB 549, 40000 Gueliz Marrakech, MoroccoHicham.jakjoud@gmail.com

J. Vib. Acoust 134(5), 051003 (Jun 05, 2012) (6 pages) doi:10.1115/1.4006231 History: Received January 12, 2011; Revised January 18, 2012; Published June 04, 2012; Online June 05, 2012

Nonlinearity is one of the phenomena that affect the ultrasonic wave during its propagation in a given medium. In the time domain the nonlinearity is seen as a variation of the phase velocity which leads to a distortion of the waveform. This corresponds in the frequency domain to energy transfer from the fundamental frequency to the harmonic and among the harmonic themselves. Our purpose in this paper is to introduce a SPICE implementation of the computational model of the nonlinear ultrasound propagation. We first study the plane wave distortion based on the Burgers’ equation. Our SPICE model allowed studying the temporal profile of the ultrasonic wave during its propagation. The simulation results are compared to the analytical solution of the Burgers’ equation showing the validity of the model. An experimental device based on ultrasonic transmission mode is used to carry out measurements and the comparison with the simulation results shows a good agreement.

Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 9

Measurement setup

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Figure 10

Ultrasonic pulses at the transducer output (solid line) and at the discontinuity distance z = 3.56 cm away from the transducer (dashed line) in ethanol, measured experimentally

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Figure 13

Spectrums of the pulses at the transducer output (solid line) and at the distance z = 3.56 cm away from the transducer (dashed line) in water measured experimentally

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Figure 14

Ultrasonic pulses given by measurements (solid line) and by simulation (dashed line) at the distance z = 3.56 cm in the ethanol

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Figure 15

Ultrasonic pulses given by measurements (solid line) and by simulation (dashed line) at the distance z = 3.56 cm in ethanol

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Figure 2

Simulation of the pulses at the transducer output (solid line) and at the discontinuity distance Ld  = 3.56 cm (dashed line) in ethanol using the analytical method

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Figure 3

Fast Fourier transform of the pulses at the transducer output (solid line) and at the discontinuity distance Ld  = 3.56 cm (dashed line) using the analytical method

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Figure 4

SPICE simulation of the pulses at the transducer output (solid line) and at the discontinuity distance z = 3.56 cm away from the transducer (dashed line) in ethanol

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Figure 5

Fast Fourier transform of the pulses at the transducer output (solid line) and at the discontinuity distance z = 3.56 cm away from the transducer (dashed line)

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Figure 6

Fundamental and harmonic amplitude evolution versus axial distance. Fundamental (solid line) second harmonic (dashed line), and third harmonic (dotted line).

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Figure 7

SPICE simulation of the pulses at the transducer output (solid line) and at z = 3.56 cm away from the transducer (dashed line) in distilled water

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Figure 8

Fast Fourier transform of the pulses at the transducer output (solid line) and at the distance z = 3.56 cm away from the transducer (dashed line) in distilled water

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Figure 11

Spectrums of the pulses at the transducer output (solid line) and at the discontinuity distance z = 3.56 cm away from the transducer (dashed line) in ethanol measured experimentally

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Figure 12

Ultrasonic pulses at the transducer output (solid line) and at the distance z = 3.56 cm away from the transducer (dashed line) in water measured experimentally

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