Abstract
An analytical treatment of the circular flexural plate transducer having a nonuniform electromechanically active-passive (bilaminar) mechanical system is presented. The analysis is made using the energy method that was previously applied to calculating the parameters of uniform fully active (bimorph) circular plate transducers [Aronov, J. Acoust. Soc. Am. 118(2), 627–637 (2005)]. It is shown to first order approximation, that the vibration mode shapes do not change significantly for a large range of relative dimensions of the active and passive laminates of the mechanical system considered in terms of optimizing the effective coupling coefficient of the transducer. Therefore, the transducer can be considered as having a single degree of freedom, and its operational characteristics can be calculated using the same technique as previously used for uniform plates. The dependence of the resonance frequencies, effective coupling coefficients, and parameters of the equivalent electromechanical circuit on the relative dimensions of the active and passive laminates for several combinations of the active and passive materials are presented. The main results are in a good agreement with experimental data.
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