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23 July 1993 Modeling of piezoelectric multilayer structures
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A method to study electromechanical behavior in piezoelectric laminated structures is presented. An accurate electromechanical description is mathematically involved, requiring quite often the adoption of ad hoc and unrealistic assumptions. An alternate approach to existing techniques is proposed in this paper. Emphasis is placed in a two-dimensional formulation to describe the behavior of electroelastic layered media. The methodology consists of rewriting the field equations of piezoelectricity in terms of a combination of certain electrical and mechanical variables collected into a state vector. Integral transformations are used to produce an ordinary differential equation for the state vector, whose solution is given in terms of a transfer matrix. The virtue of this approach is that the transfer matrix allows us to furnish information on local as well as global electromechanical behavior with equal ease. The resulting consequences of the methodology are the prediction of changes of geometry that will occur in a structure in response to a controlled command, and a more efficient means of structural actuation.
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Horacio Sosa and Forouza Pourki "Modeling of piezoelectric multilayer structures", Proc. SPIE 1916, Smart Structures and Materials 1993: Smart Materials, (23 July 1993);

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