Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates

Abstract

The behavior of two dimensional patches of piezoelectric material bonded to the surface of elastic distributed structures and used as vibration actuators is analytically investigated. A static analysis is used to estimate the loads induced by the piezoelectric actuator to the supporting elastic structure. The theory is then applied to develop an approximate dynamic model for the vibration response of a simply supported elastic rectangular plate excited by a piezoelectric patch of variable rectangular geometry. The results demonstrate that modes can be selectively excited and that the geometry of the actuator shape markedly affects the distribution of the response among modes. It thus appears possible to tailor the shape of the actuator to either excite or suppress particular modes leading to improved control behavior.

Singular estimates and uniform stability of coupled systems ofhyperbolic/parabolic PDEs

“…Introduction; singular estimates for coupled PDE systems. The present paper sets itself along that line of research established by [1,3]-and later streamlined and simplified in the exposition of [16]-that is focused on mathematical properties of an accepted acoustic chamber model [8,31], subject to unbounded control action on its flexible wall.…”

“…Model (1.12) for Ꮾ arises when the control action is exercised on Γ 0 via piezoceramic elements [8]. Then for Ꮽ and Ꮾ as in (1.11), (1.12), one readily shows, on the strength of Sobolev embedding, that the constant r of Assumption 1.2 is (see [3], [25, page 890]):…”

“…Introduction; singular estimates for coupled PDE systems. The present paper sets itself along that line of research established by [1,3]-and later streamlined and simplified in the exposition of [16]-that is focused on mathematical properties of an accepted acoustic chamber model [8,31], subject to unbounded control action on its flexible wall.We consider a generalization of an established structural acoustic model. This consists of a coupled system of two partial differential equations of different types-a hyperbolic PDE acting within the acoustic chamber and a paraboliclike PDE acting on the elastic wall of the chamber-which are strongly coupled at their common interface.…”

Piezoelectric wafer active sensor embedded ultrasonics in beams and plates

“…Crawley and Lazarus 7 developed piezoelectric sensor and actuator relations using equivalent line moments. This work was extended by Tzou and Tseng, 8 Dimitriadis et al, 9 Lester and Lefebvre, 10 Song and Librescu 11 and others. Saravanos and Heyliger 12 developed a unified approach for laminated beams with incorporated piezoelectric elements.…”

Integration of an Automated Active Control System in Building Glazed Facades for Improving Sound Transmission Loss

“…In the asymmetric disposal of Fig. 6-a, the PZT patch excites the 2D structure with pure bending, that can be simulated with the numerical model developed in [23]. In this paper it is assumed that the strain slope is continuous through the thickness of the glass plate and of the PZT patch, but different along the directions parallel to the plate sides, that in turn are assumed parallel to the coordinate axes (the strain slopes are billed C x and C y ).…”