Skip to main content
Log in

Dynamic mechanism and its modelling of micromachined electrostatic ultrasonic transducers

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

A tensile-plate-on-air-spring model (or called TDK model for short) for micromachined electrostatic ultrasonic transducers has been developed based on a thorough investigation of their dynamic mechanism. The mechanical stiffness effects caused by the compressibility of air gaps, bending stiffness of the diaphragm and in-plane tension applied to the diaphragm, together with an electrostatic negative stiffness effect are included completely in the model. Desired particular fundamental frequency and bandwidth can be obtained by only properly tailoring the geometry, dimensions and materials of transducers according to the model, which provides thereby a reliable theoretical basis for the understanding and optimised design of such transducers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ge, L. F., A theoretical model for electrostatic ultrasonic transducers with micro air-gap structuresChinese Sci. Bull., 1998, 43(9): 728.

    Article  Google Scholar 

  2. Ge. L. F., DK model for electrostatic ultrasonic transducers with V-grooved backplates,J. Acoust. Soc. Am., 1996, 100(4): 2 809.

    Article  Google Scholar 

  3. Carr, H., Wykes, C., Diagnostic measurements in capacitive transducers,Ultrasonics, 1993, 31(1): 13.

    Article  Google Scholar 

  4. Rafig, M., Wykes, C., The performance of capacitive ultrasonic transducers using V-grooved backplates,Meas. Sci. Technol., 1991, 2: 168.

    Article  Google Scholar 

  5. Hietanen, J., Stor-Pellinen, J., Luukala, M., A model for an electrostatic ultrasonic transducer with a grooved backplate,Meas. Sci. Technol., 1992, 3: 1 095.

    Article  Google Scholar 

  6. Mattila, P., Tsuzuki, F., Vaataja, H. et al., Electroacoustic model for electrostatic ultrasonic transducers with V-grooved backplates,IEEE Trans. UFFC, 1995, 42(11): 1.

    Google Scholar 

  7. Anderson, M. J., Hill, J. A., Fortunko,. M. et al., Broadband electrostatic transducers: Modelling and experiments,J. Acoust. Soc. Am., 1995, 97(1): 262.

    Article  Google Scholar 

  8. Ge, L. F., Modelling of electrostatic ultrasonic transducers with micro air-gap structures, inProc. of The 16th International Congress on Acoustics and 135th ASA Meeting, Seattle, Washington, New York: Acoustical Society of America, 1998, 1081–1082.

    Google Scholar 

  9. Suzuki, K., Higuchi, K., Tanigawa, H., A silicon electrostatic ultrasonic transducer,IEEE Trans. UFFC, 1989, 36(6): 620.

    Google Scholar 

  10. Schindel, D.W., Hutchins, D. A., Zou, L. et al., The design and characterization of micromachined air-coupled capacitance transducers,IEEE Trans. UFFC, 1995, 42(1): 42.

    Google Scholar 

  11. Haller, M. I., Khuri-Yakub, B. T., A surface micromachined electrostatic ultrasonic air transducer,IEEE Trans. UFFC, 1996, 43(1): 1.

    Google Scholar 

  12. Kinsler, L. E., Frey, A. R., Coppens, A. B.et al.,Fundamentals of Acoustics, 3rd ed., New York: John Wiley & Sons, 1982.

    Google Scholar 

  13. Ge, L. F., Impedance characteristics of transducers and reciprocity calibration,J. Acoust. Soc. Am., 1989, 86(1): 210.

    Article  Google Scholar 

  14. Hunt, H. V.,Electroacoustics (2nd printing), New York: The Acoustical Society of America, 1982.

    Google Scholar 

  15. Leissa, A.,Vibration of Plates, Washington D. C.: Natl. Aeron. and Space Admin., 1969.

    Google Scholar 

  16. Bass, H. E., Sutherland, L. C., Piercy, J. et al., Absorption of sound by the atmosphere, inPhysical Acoustics, Vol.17, (ed. Mason, W. P., Thurston, R. N.), New York: Academic Press, 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China (Grant No.69974001).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ge, L. Dynamic mechanism and its modelling of micromachined electrostatic ultrasonic transducers. Sci. China Ser. A-Math. 42, 1308–1315 (1999). https://doi.org/10.1007/BF02876032

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02876032

Keywords

Navigation