DOI QR코드

DOI QR Code

An Effective Quasi-static Modeling of the Piezoelectric Benders

압전 벤더의 효과적인 모델링 기법

  • 박종규 (포항공과대학교 대학원 기계공학과) ;
  • 문원규 (포항공과대학교 기계공학과)
  • Published : 2004.02.01

Abstract

In this article, the constitutive relations of three types of piezoelectric benders, which are a unimorph bender, a bimorph bender and a triple-layer bender, are derived based on the beam theory under the quasi-static equilibrium condition. The relation coefficients are described as the geometry and material properties of the benders. More general constitutive relations involving fixed-free, fixed-roll, and fixed-simply supported boundary conditions under the inconsistent length condition between the piezoelectric layer and the nonpiezoelectric one are discussed. The complicated constitutive relations can be easily calculated and checked by using the symbolic function in ‘Mathematica’. The relation coefficients for the benders are plotted in three dimensional graph using the developed program.

Keywords

References

  1. WEB SITE, http://www.physikinstrumente.com/
  2. Ilene J. Busch-Vishniac, 1999, Electromechanical Sensors and Actuators, Spring-Verlag
  3. Jan G. Smits, Susan I. Dalke and Thomas K. Cooney, 1991, 'The Constituent Equations of Piezoelectric Bimorphs,' Sensors and Actuators A, Vol. 28, pp. 41-61 https://doi.org/10.1016/0924-4247(91)80007-C
  4. Smits, J.G. and Choi, W., 1991, 'The Constituent Equations of Piezoelectric Heterogeneous Bimorphs,' Ultrasonics, IEEE Transactions on Ferroelectrics and Frequency Control, Vol. 38, Issue. 3, pp. 256-270 https://doi.org/10.1109/58.79611
  5. Qing-Ming Wang and L. Eric Cross, 1999, 'Constitutive Equations of Symmetrical Triple-layer Piezoelectric Benders,' Ultrasonics, IEEE Transactions on Ferroelectrics and Frequency Control, Vol. 46, No. 6, pp. 1343-1351 https://doi.org/10.1109/58.808857
  6. Qing-Ming Wang, Xiao-hong Du, Baomin Xu, and L. Eric Cross, 1999, 'Theoretical Analysis of the Sensor Effect of Cantilever Piezoelectric Benders,' Journal of applied physics, Vol. 85, No. 3, pp. 1702-1712 https://doi.org/10.1063/1.369314
  7. Manais, S.R., Quate, Cavin F. and Minne, Stephen C, 1999, Bringing Scanning Probe Microscopy Up to Speed, Kluwer Academic