Modeling of Rosen-type piezoelectric transformer by mean of a polynomial approach

D. J. Falimiaramanana, F. Ratolojanahary, I. Naciri, P. M. Rabotovao, L. Elmaimouni, J. Lefebvre, M. Rguiti, Tadeusz Gryba
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引用次数: 2

Abstract

The electromechanical behavior of piezoelectric transformers (PTs) is predicted using a polynomial approach. It is the first time that a polynomial method is applied to study structures made up of both an actuator and a transducer. The method consists in incorporating directly into the equations of motion the continuity and boundary conditions by the use of the delta function. The numerical results are presented such as resonance and anti-resonance frequencies, electrical input admittance and voltage gain of the PTs. The validity of the model is confirmed through a comparison between the results using the polynomial approach and an analytical method. A good agreement was obtained between the results of the proposed polynomial approach and the results using an analytical approach for both the free vibration and forced vibration analysis. The mechanical displacement, the load dependence and the dimension effect are presented to illustrate our model.
用多项式方法对罗森式压电变压器进行建模
采用多项式方法对压电变压器的机电性能进行了预测。这是第一次将多项式方法应用于研究由作动器和换能器组成的结构。该方法是利用函数将连续条件和边界条件直接纳入运动方程。给出了谐振频率、反谐振频率、输入导纳和电压增益等数值结果。通过对多项式法和解析法计算结果的比较,验证了模型的有效性。在自由振动和强迫振动分析中,所提出的多项式方法的结果与解析方法的结果吻合较好。用力学位移、载荷依赖关系和尺寸效应来说明模型。
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