Analysis of Piezoelectric Structures and Devices by Daining Fang

By Daining Fang

This edited paintings covers piezoelectric fabrics within the kind of beams, plates, shells, and different structural parts in sleek units and buildings. purposes are frequency keep an eye on and detection features in resonators, sensors, actuators, oscillations, and different shrewdpermanent and clever constructions.

The contributions hide novel equipment for the research of piezoelectric buildings together with wave propagation, excessive frequency vibration, fabric characterization, and optimization of buildings. knowing of those tools is more and more very important within the layout and modelling of subsequent new release units and micro-structures with piezoelectric components and results

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Fig. 10 A plate attached with a center-located SQ actuator system and collocated sensor segments. (a) (2,1), (2,3) modes; (b) (2,2) mode; (c) (3,2) mode. 4. 4 suggests that the actuator induces identical actuation magnitudes on modes (1,2) and (2,1), (1,3) and (3,1), (2,3) and (3,2). 4 suggests that when both n and m are odd numbers, such as (1,1), (1,3), (3,1), (3,3) mode, either with or without segmented sensors, the control actions of the SQ actuator system are identical. Thus, with the collocated sensors, the control actions for even modes can be improved without degrading the control actions for odd modes.

This SQ actuator system can induce four individual non-uniform control actions independently or coordinately when attached to plate or shell structures. When the SQ actuator is irradiated with a high-energy light, it can introduce in-plane membrane control forces and these forces multiplied by their respective moment arms resulting in control moments to the shell structure. Now assume a curved SQ actuator is applied to a simply supported cylindrical shell defined by (x, ψ , α3 ), where x, ψ and α3 denote the longitudinal, circumferential, and transverse directions respectively.

In a theoretical sense, the result will be exact and the same as that of 3D equations when the number of terms in the series approaches infinite. However, the infinite series of equations are no easier to treat than the original 3D equations. Actually, a few terms properly retained in the series will be enough accurate in practice as already demonstrated for elastic and 2 Structural Theories of Multiferroic Plates and Shells 45 piezoelectric plates [12, 13, 23]. Following the same idea, we obtain in this chapter the first-order theory which includes the coupled extensional, flexural and thickness-shear motions of multiferroic structures and show its applications in the analysis of magnetoelectric effects of composite multiferroic structures.

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