The sandwich ultrasonic transducer with two sets of piezoelectric ceramic elements is studied. When the active piezoelectric ceramic elements are excited separately, two resonance frequencies can be obtained. Based on the Mason electro-mechanical equivalent circuit, the resonance frequency equations are derived. The dependency of the resonance frequency on the geometrical dimensions and the electric boundary conditions is analyzed. It is shown that the resonance frequency of the transducer at electric short circuit is low than that at electric open circuit. At both electric boundary conditions, the resonance frequency is decreased when the radial dimension is increased.%本文对具有两组压电陶瓷激励元件的夹心式功率超声压电换能器进行了理论及实验研究.当换能器中的两组压电陶瓷元件分别被激励时,换能器可以产生两组不同的共振及反共振频率.利用换能器的梅森等效电路,得出了其频率方程.探讨了换能器的共振频率及反共振频率与其几何尺寸及电学边界条件的依赖关系.研究表明,换能器的共振频率不仅与其几何形状和尺寸有关,而且与电学边界条件有关.在同样的几何尺寸下,电端开路时的共振及反共振频率大于电端短路时的共振及反共振频率.在两种电学边界条件下,换能器的共振及反共振频率与几何尺寸之间的依赖关系是相似的,即当换能器圆锥前盖板的半径比增大时,换能器的共振及反共振频率总是降低的.
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