Electrode Shape Optimization of Piezo Sensors Using Genetic Algorithm

유전 알고리듬을 이용한 압전센서의 전극형상 최적화

  • 이기문 (포항공과대학교 대학원 기계공학과) ;
  • 박현철 (포항공과대학교 기계공학과) ;
  • 박철휴 (대구기계부품연구원)
  • Published : 2006.06.01


This paper presents an electrode shape design method for the multi-mode sensors that could deteict the selected structural multiple modes. The structure used for this study is an isotropic cantilever beam type with a PVDF (polyvinylidene fluoride) which is bonded onto the structure as a sensor. The shape optimization problem is solved by using Genetic Algorithm (GA) with an appropriate objective function. The performance of analytical optimal shape sensor is compared with that of experimental work. The results show that the, obtained electrode shape sensors have good performance to detect the multiple vibration modes simultaneously.


Shape Design;Genetic Algorithm;Multi-mode Sensor;Piezo Sensor


  1. Balas M. J, 1978, 'Feedback Control of Flexible Systems,' IEEE Trans. Auto. Contr., Vol. 23, pp. 673-679
  2. Miller, S. and Hubbard, J., 1987, 'Observability of a Bernoulli-Euler Beam Using PVF2 as a Distributed Sensor,' Proc. of sixth Symposium on Dynamics and Control of Large Structures, Blacksburg, VA., pp. 375-390
  3. Surnali, H., Meissner, K., Cudney H., 2001, 'A Piezoelectric Array for Sensing Vibration Modal Coordinates,' Sensors and Actuators A, Vol. 93, pp. 123-131
  4. Friswell, M.I., 1999, 'Partial and Segmented Modal Sensors for Beam Structures,' Journal of Vibration and Control, Vol. 5 pp. 619-637
  5. Meirovitch, L., 1997, Principles and Techniques of Vibrations, Prentice-Hall, Inc. NJ
  6. Pota H. R. and Alberts T. E., 1995, 'Multivariable Transfer Functions for a Slewing Piezoelectric Laminated Beam,' Trans. of the ASME J. of Dyn. Syst. Meas. And Contr, Vol. 117, pp. 352-359
  7. Hamdan A. M. and Nayfeh A. H., 1989, 'Measure of Modal Controllability and Observability for Firstand Second-order Linear System', Journal of Guidance, Control and Dynamics, Vol. 12(3), pp. 421-428
  8. Goldberg D. E., 1989, Genetic Algorithm in Search, Optimization, and Mechine Learning, Addison-Wesley
  9. K. G. Jin, 2002, Genetic Algorithms and Their Applications, Kyo Woo Sa
  10. Sung, J. and Yoo, J., 2002, 'A Study on the Improvement of Shape Optimization associated with the Modification of a Finite Element,' Journal of Korean Society of Mechanical Engineers A, Vol. 26, No. 7