Multiple-Mode Structural Vibration Control Using Negative Capacitive Shunt Damping

  • Park, Chul-Hue (Department of Mechanical Engineering, Pohang University of Science and Technology) ;
  • Park, Hyun-Chul (Department of Mechanical Engineering, Pohang University of Science and Technology)
  • Published : 2003.11.01

Abstract

This paper deals with a novel shunt circuit, which is capable of suppressing multimode vibration amplitudes by using a pair of piezoceramic patches. In order to describe the characteristic behaviors of a piezoelectric damper connected with a series and a parallel resistor-negative capacitor branch circuit, the stiffness ratio and loss factor with respect to the non-dimensional frequency are considered. The mechanism of the shunt damper is also described by considering a shunt voltage constrained by shunt impedance. To obtain a guideline model of the piezo/beam system with a negative capacitive shunting, the governing equations of motion are derived through the Hamilton's principle and a piezo sensor equation as well as a shunt-damping matrix is developed. The theoretical analysis shows that the piezo/beam system combined with a series and a parallel resistor-negative capacitor branch circuit developed in this study can significantly reduce the multiple-mode vibration amplitudes over the whole structural frequency range.

Keywords

References

  1. Browning, D. R. and Wynn, W. D., 1993, 'Multiple-Mode Piezoelectric Passive Damping Experiments for an Elastic Plate,' Proceedings of the 11th International Modal Analysis Conference, pp. 1520-1526, Kissimmee, FL
  2. Forward, R. L., 1979, Electromechanical Transducer-Coupled Mechanical Structure with Negative Capacitance Compensation Circuit, United States Patent #4158787
  3. Hagood, N. W., Chung, W. H. and von Flotow, A., 1990, 'Modeling of Piezoelectric Actuator Dynamics for Active Structural Control,' Journal of Intelligent Material Systems and Structures, Vol. 1, pp. 327-354 https://doi.org/10.1177/1045389X9000100305
  4. Hagood, N. W. and von Flotow, A., 1991, 'Damping of Structural Vibrations with Piezoelectric Materials and Passive Electrical Networks,' Journal of Sound and Vibration, Vol. 146, No. 2, pp. 243-268 https://doi.org/10.1016/0022-460X(91)90762-9
  5. Hollkamp, J. J., 1994, 'Multimodal Passive Vibration Suppression with Piezoelectric Materials and Resonant Shunts,' Journal of Intelligent Material Systems and Structures, Vol. 5, pp. 49-57 https://doi.org/10.1177/1045389X9400500106
  6. IEEE Std 176-1978, 1978, IEEE Standard on piezoelectricity, The Institute of Electrical and Electronics Engineers
  7. Inman, D. J., 1996, Engineering Vibration, Prentice-Hall, Englewood Cliffs NJ
  8. Lesieutre, G. and Davis, C., 1997, 'Can a Coupling Coefficient of a piezoelectric Device be Higher than Those of Its Active Material?,' Proc. of SPlE, Vol. 3041, pp. 281-292
  9. Moon, S. H., Yun, C. Y. and Kim, S. J., 2002, 'Passive Suppression of Nonlinear Panel Flutter Using Piezoelectric Materials with Resonant Circuit,' KSME International Journal, Vol. 16, No. 1, pp. 1-12
  10. Wu, S., 1998, 'Method for Multiple Mode Piezoelectric Shunting with Single PZT Transducer for Vibration Control,' Journal of Intelligent Material Systems and Structures, Vol. 9, pp. 991-998 https://doi.org/10.1177/1045389X9800901204