Advertisement

Distributed Control of Plates with Segmented Sensors and Actuators

  • Hornsen (HS) Tzou
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 247)

Abstract

In the development of active piezoelectric/elastic structures, it was noted that a fully (symmetrically) distributed piezoelectric sensor/actuator could lead to minimum, or zero, sensing/control effects for anti-symmetrical modes of structures, especially with symmetrical boundary conditions. One method of improving the performance is to segment the symmetrically distributed sensor/actuator layers into a number of collocated sub-segments. In this chapter, mathematical models and analytical solutions of a simply supported plate with a single-piece distributed sensor/actuator and four-piece quarterly segmented sensors/actuators were derived. Modal sensitivities and modal feedback factors for the two sensor/actuator configurations are defined, and modal displacement and velocity feedbacks are formulated.

References

  1. Burke, S. and Hubbard, J.E., 1990, Distributed Transducer Control Design for Thin Plates, Electro–Optical Materials for Switches, Coatings, Sensor Optics, and Detectors (1990), SPIE Vol.1307, pp.222–231.Google Scholar
  2. Dimitriadis, E.K., Fuller, C.R., and Rogers, C.A., 1991, Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates, ASME Journal of Vibration and Acoustics, Vol.113, No.1, pp.100–107.CrossRefGoogle Scholar
  3. Fu, Haiqi, 1990, Active Vibration Control of a Simply Supported Plate Using Segmented Piezoelectric Sensors and Actuators, MSME Thesis, Department of Mechanical Engineering, University of Kentucky, Lexington, KY.Google Scholar
  4. Lee, C. K., 1990, Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors/Actuators. Part–1: Governing Equations and Reciprocal Relationships, Journal of Acoustic Society of America, Vol.87, No.3, pp.1144–1158.CrossRefGoogle Scholar
  5. Ricketts, D., 1981, Model for a Piezoelectric Polymer Flexural Plate Hydrophone, Journal of Acoustic Society of America, Vol.70, No.4, pp.929–935.CrossRefGoogle Scholar
  6. Ricketts, D., 1989, The Frequency of Flexible Vibration of Completely Free Composite Piezoelectric Polymer Plates, Journal of Acoustic Society of America, Vol.80, No.3, pp.2432–2439.Google Scholar
  7. Soedel, W., 1976, Shells and Plates Loaded by Dynamic Moments with Special Attention to Rotating Point Moments, Journal of Sound and Vibration, Vol.48, No.2, pp.179–188.CrossRefGoogle Scholar
  8. Soedel, W., 1981, Vibrations of Shells and Plates, Marcel Dekker, New York.Google Scholar
  9. Tzou, H.S., 1991a, Active Elastic/Piezoelectric Shells: Theory and Applications, (Monograph), Institute of Space and Astronautical Science, Kanagawa, Japan.Google Scholar
  10. Tzou, H.S., 1991b, Distributed Modal Identification and Vibration Control of Continua: Theory and Applications, ASME Journal of Dynamic Systems, Measurements, and Control, Vol.113, No.3, pp.494–499, September 1991.CrossRefGoogle Scholar
  11. Tzou, H.S., 1992, A New Distributed Sensation and Control Theory for “Intelligent” Shells, Journal of Sound and Vibration, Vol.153, No.2, pp.335–350.CrossRefGoogle Scholar
  12. Tzou, H.S. and Fu, H.Q., “A Study of Segmentation of Distributed Sensors and Actuators, Part 1, Theoretical Analysis,” Journal of Sound & Vibration, Vol.172, No.2, pp.247–260, April 1994a.Google Scholar
  13. Tzou, H.S. and Fu, H.Q., “A Study of Segmentation of Distributed Sensors and Actuators, Part 2, Parametric Study and Vibration Controls,” Journal of Sound & Vibration, Vol.172, No.2, pp.261–275, April 1994b.Google Scholar
  14. Tzou, H.S. and Fukuda, T., 1991, Piezoelectric Smart Systems Applied to Robotics, Micro–Systems, Identification, and Control, Workshop Notes, IEEE Robotics and Automation Society, 1991 IEEE International Conference on Robotics and Automation, Sacramento, CA, April 7–12, 1991.Google Scholar
  15. Tzou, H.S. and Fukuda, T., 1992, Precision Sensors, Actuators, and Systems, Kluwer Academic Publishers, 1992. (7/Plate–Segment.BkPzSm3).Google Scholar
  16. Tzou, H.S. & Tseng, C.I., 1991, Distributed Modal Identification and Vibration Control of Continua: Piezoelectric Finite Element Formulation and Analysis, ASME Journal of Dynamic Systems, Measurements, and Control, Vol.113, No.3, pp.500–505, September 1991.Google Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical Structures; Interdisciplinary Research Institute, College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina

Personalised recommendations