Advertisement

A Study on Segmentation of Distributed Piezoelectric Sectorial Actuators in Annular Plates

  • A. Tylikowski
Conference paper
  • 181 Downloads
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 89)

Abstract

Distributed piezoelectric layers can be used as distributed sensors and actuators for structural monitoring and control of elastic structures. In this paper distributed vibration control of structures using single-piece and multi-piece segmented actuators is examined. The study is motivated by finding an active control strategy to reduce vibrations in circular saw blades and noise transmission in a circular acoustic ducts. Piezoelectric actuators have been applied successfully in the closed-loop control of distributed two-dimensional systems (cf. Dimitriades, Fuller and Rogers [1] for rectangular plates and Van Niekerk et al. [2] for circular plates). Tzou and Fu [6] analysed models of a plate with segmented distributed piezoelectric sensors and actuators, and showed that segmenting improves the observability and the controllability of the system. The dynamic model for an axially symmetrical plate with a piezoceramic actuator was presented in [3]. The capacitively shunted annular plate with piezoelectric elements as a distributed vibration absorber was analysed by the present author [4]. The method proposed in [6] is incorporated to study segmentation of annular and sectorial piezoelements glued to circular and annular plates. The main problem is a role of the actuator segmentation in vibration excitation of annular plates driven by harmonic voltage. In the model developed so far the thickness of the actuator is ignored and the piezoceramics do not add any mass to the structure. The Kirchhoff annular plate is clamped at the inner radius and free at its outer edge. Between the radial coordinates a and b piezoelectric layers are attached.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

6. References

  1. 1.
    Dimitriadis, E. K., Fuller, C. R., and Rogers, C. A.: Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates, ASME Journal of Vibration and Acoustics 113 (1991), 100–107.CrossRefGoogle Scholar
  2. 2.
    Van Niekerk, J. L., Tongue, H. H., and Packard, A. K.: Active Control of a Circular Plate to Reduce Transient Noise Transmission, Journal of Sound and Vibration 183 (1995), 643–662.CrossRefzbMATHGoogle Scholar
  3. 3.
    Tylikowski, A. (1999) Simulation Examination of Annular Plates Excited by Piezo-electric Actuators, in: J. Holnicki-Szulc and J. Rodellar (eds.), Smart Structures, Kluwer Academic Publishers, Dordrecht, pp.365–372.Google Scholar
  4. 4.
    Tylikowski, A. (1999) Piezoelectric Vibration Absorbers, in: Proceedings of the 10-th Polish — German Seminar Development Trends in Design of Machines and Vehicles, Warsaw University of Technology, Warsaw, pp. 135–142.Google Scholar
  5. 5.
    Tzou, H. S., and Fu, H. Q. (1992) A Study on Segmentation of Distributed Piezo-electric Sensors and Actuators; Part 1 — Theoretical analysis, in: Active Control of Noise and Vibration, DSC — 38 ASME, pp. 239–246.Google Scholar
  6. 6.
    Tzou, H. S. Distributed Modal Identification and Vibration Control of Continua: Theory and Applications, ASME Journal of Dynamic Systems, Measurement and Control 113 (1991), 494–499.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • A. Tylikowski
    • 1
  1. 1.Institute of Machine Design FundamentalsWarsaw University of TechnologyWarszawaPoland

Personalised recommendations