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mme.modares.ac.ir

1

*2

- 1

- 2

* -741

89195 [email protected]

22 : 1394

: 01 1395

05 : 1395 .

. .

. .

.

3.8%

. 5.7%

Design and Simulation of a Broadband Sonar Transducer and the Experimental Validation

Amin Yousefi, Mohammad Mahdi Abootorabi

*

Department of Mechanical Engineering, Yazd University, Yazd, Iran

* P.O.B. 89195-741, Yazd, Iran, [email protected]

A

RTICLE

I

NFORMATION

A

BSTRACT

Original Research Paper Received 12 March 2016 Accepted 20 April 2016 Available Online 25 May 2016

Knowledge of broadband transducers is a new technology in the field of sonar science. Considering that Iran has sea water resources, its importance becomes more and more. In this article, after studying the performance of the kinds of transducers in the field of sonar transducers, a proper broadband transducer with the specific impedance and acoustical characteristics that can send and receive signals, is designed, simulated, fabricated and tested. At first, overall dimension of a broadband transducer with lumped parameter model and electrical equivalent circuit model was approximated and then, with increasing the degrees of freedom of analytical models, all characteristics of the optimum transducer parts were obtained in order to have a large bandwidth. By using finite element software (COMSOL Multiphysics), the designed model was simulated and the obtained results have been compared with analytical design solution. Finally, the transducer was fabricated and tested in order to validate the modeled and simulated data by comparing them with practical ones. The obtained experimental results showed that the simulation with COMSOL Multiphysics can predict the resonance frequency and maximum transmitting voltage response (TVR) of the broad bandwidth transducer with reasonable precision. The prediction error of resonance frequency and maximum TVR by COMSOL is 3.8% and 5.7%, respectively. The use of lumped parameter and electrical equivalent circuit models gives an initial approximation for transducer dimensions, but in determination of the resonance frequency and the frequency of maximum TVR has a higher error in comparison with the finite element method.

Keywords:

Transducer Tonpilz

Resonance Frequency Electrical Impedance Transmitting Voltage Response

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rmeasured

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= 20log

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K M

.

R

) (

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] :[

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) ( 7

= + ( )

Fig. 1 The lumped parameter model of a piezoelectric transducer with one degree of freedom [8]

]

1

[

8

Fig. 2 The electrical equivalent circuit for the lumped parameter model of figure 1[8]

2

]

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[

8

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) .

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(

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A0

d33

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tan

] .[

2

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Fig. 3 The lumped parameter model of a transducer [2]

3

]

[

2

Fig. 4 The electrical equivalent circuit of a transducer in sending state [2]

4

]

[

2

[ Downloaded from mme.modares.ac.ir on 2023-12-06 ]

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Fig. 5 The electrical equivalent circuit of a transducer in receiving state [2]

5

]

[

2

) ( 12

= + + 2

) ( 13

= + 2

M1

M2

.

) ) (

12

(

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4

- 2 - 2 .

6

.

7

.

7

. .

PZT-8

.

2 12

.

4

.

8

] [

2

Fig. 6 Schematic view of the designed transducer

6

Fig. 7 Thedimensions of tail mass (right) and head mass (left)

7

) ( )

Fig. 8 The dimensions of Piezoelectric ceramic PZT-8 (right) and copper electrode (left)

8 PZT-8

) ( )

.

0.1 8

.

M3

- 3

. .

] .[

16

.

9

.

] .[

17

10 21

. .

21

[ Downloaded from mme.modares.ac.ir on 2023-12-06 ]

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Fig. 9 Two views of simulated Tonpilz transducer in COMSOL Multiphysics software

-

9

21

.

11 15

.

.

.

12 . 21

-170

] .[ 3

Fig. 10 Total structural displacement of the transducer in millimeters at frequency 21 kHz

10 kHz

21

Fig. 11 Sound pressure level (SPL) in the water domain in decibels and perfectly match layer at frequency 21 kHz

11

kHz

21

Fig. 12 The Receiving Voltage Sensitivity (RVS) of the

simulated transducer

12

- 4

. .

13

- 4 - 1 .

] .[

18

-

14

.

Fig. 13 The fabricated transducer

13

Fig. 14 Impedance analyzer set

14 -184

-182 -180 -178 -176 -174 -172 -170 -168 -166

0 10000 20000 30000 40000 50000

RV S (d B)

f (Hz)

[ Downloaded from mme.modares.ac.ir on 2023-12-06 ]

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] .[

19

DC

( )

.

15

. ] .[

10

.

] .[

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- 4 - 2 )

16

. ]

.[

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16

Fig. 15 Schematic of the transducer acoustic test set-up

15

Fig. 16 Comparison of the measured electrical impedance of the fabricated transducer with the designed and simulated ones

16

.

16

1

. 1

.

17 17

( )

.

2

1

Table 1 Electrical comparison of the designed transducer with the real one

) (

kHz

) (

)

19.75 4000

23.8 3700

+20.5 -7.5

19 4250

-3.8 +6.3

Fig. 17 Comparison of the measured TVR of the fabricated transducer with the designed and simulated ones

17

0 20000 40000 60000 80000 100000 120000 140000 160000 180000

0 10000 20000 30000 40000 50000

Z ()

f (Hz)

Lumped Parameter and Electrical Equivalent Circuit

Finite Element

Measured (Impedance Analayzer)

0 20 40 60 80 100 120 140 160

0 10000 20000 30000 40000 50000

TVR (dB)

f (Hz)

Lumped Parameter and Electrical Equivalent Circuit

Finite Element Measured

[ Downloaded from mme.modares.ac.ir on 2023-12-06 ]

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2

Table 2 Acoustical comparison of the designed transducer with the real one

TVR

) (

dB

)

TVR

(

kHz

128.1 19.5

131.4 23.8

+2.5 +22

135.5 21

+5.7 +7.6

- 5 .

-

1

. .

-

2

.

-

3 20.5%

-

7.5%

. -

3.8%

6.3%

-

4 2.5%

22%

5.7%

.

7.6%

- 6

[1] M. Bahadori, An Introduction To Underwater Acoustics And SONAR Technology, pp. 5-7, Tehran: Naghoos, 2014. (in Persian )

[2] C. Sherman, J. Butler, Transducers and Arrays for Underwater Sound (Underwater Acoustics), pp. 98-160, New York: Springer, 2007.

[3] J. F. Tressler, Piezoelectric and Acoustic Material for Transducer Applications, pp. 234-236, New York: Springer, 2008.

[4] A. D. Waite, Sonar for Practicing Engineers, Third Edition, pp. 1-5, New Jersey: John Wiley & sons, 2008.

[5] B. Wilson, Introduction to Theory and Design of Sonar Transducers, pp. 2-4, California: Peninsula Publishing, 1988.

[6] V. Vadde, B. Lakshmi, Characterization and FEM-based Performance Analysis of a Tonpilz Transducer for Underwater Acoustic Signaling Applications, Proceedings of The COMSOL Conference, Bangalore, India, November 4-5, 2011.

[7] J. Tichy, J. Erhart, E. Kittinger, J. Pr vratska, Fundamentals of Piezoelectric Sensorics, Second Edittion, pp. 55-60, New York:

Springer, 2010.

[8] D. Stansfield, Underwater Electroacoustic Transducers, Second Edittion, pp.30-45, California: Peninsula Publishing, 1991.

[9] S. Chhith, Y. Roh, Wideband Tonpilz Transducer with a Void Head Mass, Proceedings of Symposium on Ultrasonic Electronics, Vol.

30, No. 1, pp. 361-362, 2009.

[10] K.Cepni, A Methodology for Designing Tonpilz-Type Transducers, MSc. Thesis, Department of Mechanical Engineering, Middle East Technical University, Ankara, September 2011.

[11] J. Kim H. Kim, Y. Roh, Design and fabrication of multi-mode wideband tonpilz transducers, Journal of the Acoustical Society of Korea, Vol.32, No.3, pp. 191-198, 2013.

[12] S. Suresh, S. Anbuarasan, M. Balachandhar, Structural analysis and modeling of tonpilz mems acoustic transmitter for high power imaging system, International Journal of Emerging Science and Engineering, Vo.1, No. 10, pp. 18-20, 2013.

[13] S. C. Thompson, R. J. Meyer, D. C. Markley, Performance of transducers with segmented piezoelectric stacks using materials with high electromechanical coupling coefficient, Applied Research Laboratory, The Pennsylvania State University, 2013.

[14] K. NguyenI, Design and Comparison of Single Crystal and Ceramic Tonpilz Transducers, MSc Thesis, University of Texas at Austin, Austin, 2010.

[15] E. Kuntsal, W. Bunker, Guidelines for Specifying Underwater Electroacoustic Transducers, Proceedings of The UDT 92 Conference, London, England, June 22-23, 1992.

[16] O.C. Zienkiewicz, The Finite Element Method, First Edittion, pp.122-136, New York: McGraw-Hill, 1986.

[17] Introduction to Comsol Multiphysics, Accessed on 15 September, 2015; http://www.comsol.com.

[18] S. C. Butler, Triply resonant broadband transducers, Oceans MTS/IEEE, Vol. 4, No. 1, pp. 1334-1341, 2002.

[19] N. M. Nouri, H. R. Gharavian, A. Valipour, Simulation and optimization of Tonpilz transducer by FEM and comparing the results with electroacoustic tests, Modares Mechanical Engineering, Vol. 14, No. 10, pp. 63-70, 2014 (in Persian )

[ Downloaded from mme.modares.ac.ir on 2023-12-06 ]

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