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Analysis of a Pot-Like Ultrasonic Sensor with an Anisotropic Beam Pattern

Published online by Cambridge University Press:  05 May 2011

C.-C. Cheng ,
C.-Y. Lin ,
J.-H. Ho ,
C.-S. Chen ,
J. Shieh ,
W.-J. Wu ,
K.-C. Wu  and
C.-K. Lee
C.-C. Cheng*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-Y. Lin*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
J.-H. Ho*
Affiliation:
Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-S. Chen*
Affiliation:
Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
J. Shieh*
Affiliation:
Material Science, National Taiwan University, Taipei, Taiwan 10617, R. O. C
W.-J. Wu*
Affiliation:
Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
K.-C. Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C. National Applied Research Laboratories (NARL), Taipei, Taiwan 10622, R.O.C.
C.-K. Lee*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C. Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C. Industrial Technology Research Institute (ITRI), Hsinchu, Taiwan 30011 and 31040, R.O.C.
*
*Ph.D. candidate
**Master
**Master
***Associate Professor
****Assistant Professor
**Master
*****Professor, corresponding author
*****Professor, corresponding author
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Abstract

We investigated the design parameters of a compact pot-like ultrasonic sensor which possesses a highly anisotropic beam pattern. As the sensor size is small due to its application constraint, the parameters are thus highly coupled to one another. We analyzed the respective effects of the parameters in the case where there is a vertical beam width reduction. The parameters investigated include resonant frequency, vibrating plate width-expanded angle, and ratio of thickness discontinuity of the vibrating plate. Numerical models developed by combining finite-element analysis and spatial Fourier transforms were adopted to predict the far-field radiating beam pattern of the various design configurations. The displacement distribution of the vibrating plate was measured using a microscopic laser Doppler vibrometer and the far-field pressure beam patterns were measured using a standard microphone in a semianechoic environment. The three configurations we used to validate the simulation model resulted in an H-V ratio of 2.67, 2.68 and 3.13, respectively which all agreed well with the numerical calculations. We found that by increasing the operating resonant frequency from 40kHz to 58kHz, the vertical far-field beam width of an ultrasonic sensor can be reduced by 31.62%. We found that the vertical beam width can be significantly reduced when the ratio of the thickness discontinuity of the vibrating plate decreases from 1 to 0.4 and is incorporated with its optimal width-expanded angle of the vibrating plate. It appears that an ultrasonic sensor with this type of anisotropic beam pattern can be ideally adopted for today's automotive applications.

Keywords

Anisotropic beam patternFar-field beam widthUltrasonic sensorObstacle detectionsensorH-V ratio.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 3 , September 2010 , pp. 373 - 384
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

1.Burdic, W. S., Underwater Acoustic System Analysis, Prentice Hall (1991).CrossRefGoogle Scholar
2.Zemanek, J., “Beam Behavior Within the Near Field of a Vibrating Piston,” Journal of the Acoustical Society of America, 49, pp. 181–191 (1971).CrossRefGoogle Scholar
3.Lockwood, J. C. and Willette, J. G., “High-Speed Method for Computing the Exact Solution for the Pressure Variations in the Near Field of a Baffled Piston,” Journal of the Acoustical Society of America, 53, pp. 735–741 (1973).CrossRefGoogle Scholar
4.Kinsler, L. E., Frey, A. R., Coppens, A. B. and Sanders, J. V., Fundamental of Acoustics, John Wiley and Sons, Inc, New York (2000).Google Scholar
5.Blackstock, D. T., Fundamentals of Physical Acoustics, John Wiley and Sons, New York (2000).Google Scholar
6.Goodman, J. W., Introduction to Fourier Optics, McGraw Hill, New York (1995).Google Scholar
7.Jenkins, F. A. and White, H. E., Fundamentals of Optics, McGraw Hill, New York (1957).Google Scholar
8.Bardsley, B. G. and Christensen, D. A., “Beam Patterns from Pulsed Ultrasonic Transducers Using Linear Systems Theory,” Journal of the Acoustical Society of America, 69, pp. 25–30 (1981).CrossRefGoogle Scholar
9.Nunez, I. and Negreira, C., “Avoiding Diffraction Grid Effect in Ultrasonic Fields of 1–3 PZT Polymer Piezocomposite Transducers,” IEEE UFFC, 46 (1999).CrossRefGoogle Scholar
10.Greenspan, M., “Piston Radiator Some Extensions of Theory,” Journal of the Acoustical Society of America, 65, pp. 608–621(1979).CrossRefGoogle Scholar
11.Ho, J. H., Cheng, C. C., Tsou, N. T., Chen, C. S., Shieh, J., Lee, C. K. and Wu, W. J., “Ultrasonic Transmitters Far-Field Beam Pattern Altering with Boundary Condition Design,” Proceedings of the 16th Conference on IEEE International Symposium on the Application of Ferroelectrics, pp. 7–31, Nara, Japan, (2007)CrossRefGoogle Scholar
12.Li, S. H., Ultrasound Sensor for Distance Measurement, U.S. Patent No. 6,181,645 (2001).Google Scholar
13.Li, S. H., Ultrasound Sensor for Distance Measurement, U.S. Patent No. 6,370,086 (2002).Google Scholar
14.Amaike, S. and Ota, I., Ultrasonic Sensor, U.S. Patent No. 6,250,162(2001).Google Scholar
15.Amaike, S. and Ota, I., Ultrasonic Wave Transmitter/ Receiver, U.S. Patent No. 6,593,680 (2003).Google Scholar
16.Rapps, P., Knoll, P., Pachner, F., Noll, M. and Fischer, M., Ultrasonic Transducer, U.S. Patent No. 5,446,332 (1995).Google Scholar
17.Ito, T., Ozeki, E. and Kozo, O., Piezoelectric Ultrasonic Transducer with Porous Plastic Housing, U.S. Patent No. 4,556,814(1985).Google Scholar
18.Draheim, M. and Cao, W., “Finite-Element and Experimental Study of Ultrasonic Beam Pattern Characterization,” Journal of the Acoustical Society of America, 101, p. 3165(1997).CrossRefGoogle Scholar
19.Lord, RayleighTheory of Sound, 2nd Ed., 2 (Macmillan, London, 1896), Sec. 278-302., Reprinted by Dover, New York (1945).Google Scholar
20.Lee, C. K. and Wu, T. W., “Differential Laser Interferometer for Nanometer Displacement Measurements,” AIAA Journal, 33, pp. 1675–1680 (1995).CrossRefGoogle Scholar
21.Lee, C. K., Wu, W. I, Wu, G. Y. and Chen, C. L., “Design and Performance Verification of a Microscope-Based Interferometer for Miniature-Specimen Metrology,” Optical Engineering, 44 (2005).Google Scholar
22.Lee, C. K., WU, G. Y., Thomas, C. T.Teng, Wu, , W. I , Lin, C. T., Hsiao, W. H., Shih, H. C, Wang, J. S., Sam S. C, Lin, Colin C. Lin, Lee, C. F. and Lin, Y. C, “A High Performance Doppler Interferometer for Advanced Optical Storage Systems,” Japan Journal of Applied Physics, Part 1, 38, pp. 1730–1741 (1999).CrossRefGoogle Scholar