通过改变换能器前后指数型盖板的半径减编系数，得出了换能器中纵向与扭转两种振动模式同频共振的条件。
By changing the cross sectional radius decay coefficient of the exponential metal horns, the longitudinal and torsional vibrations in the transducer could resonate at the same resonance frequency.
理论上研究了盘形聚能器的轴对称纯径向振动和纯扭转振动。所用盘形聚能器的厚度，沿半径按阶梯形，锥形和指数形变化。
Axis symmetrical pure radial and pure shear vibrations were investigated theoretically for disk concentrators, whose thickness varying step-wise, linearly or exponentially with radial distance.
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