A Study on Segmentation of Distributed Piezoelectric Sectorial Actuators in Annular Plates
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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  for rectangular plates and Van Niekerk et al.  for circular plates). Tzou and Fu  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 . The capacitively shunted annular plate with piezoelectric elements as a distributed vibration absorber was analysed by the present author . The method proposed in  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.
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