压电陶瓷三叠片复合换能器弯曲振动特性研究

采用瑞利法对固定边界条件下,三叠片圆盘弯振换能器进行理论研究,推导其谐振频率及有效机电耦合系数,通过数值计算分析换能器谐振频率及有效机电耦合系数随换能器各尺寸参数的变化规律,并与有限元模拟结果比较,结果表明,换能器结构参数对谐振频率和有效机电耦合系数有很大影响,有效机电耦合系数在其他尺寸已定的情况下随着金属片厚度、陶瓷片厚度和半径变化时,都有一个最大值,这为三叠片弯曲振动换能器的设计和进一步广泛应用提供理论支持。

Study on Vibration Characteristics of Three Laminated Composite Piezoelectric Bending Transducer

Three laminated disc bending vibration transducer was studied in theory under the fixed boundary condition by Rayleigh method. The resonant frequency and the effective electromechanical coupling coefficient were derived. The variation of transducer resonance frequency and the effective electromechanical coupling coefficient of the transducer with size parameters was analyzed through numerical calculation, and comparison was made between the theoretical value and the finite element simulation results. The results showed that the transducer structure parameters had great influence on the resonant frequency and the effective electromechanical coupling coefficient. The effective electromechanical coupling coefficient would have a maximum value changing with the thickness of sheet metal and ceramic plate, and the radius ceramic plate when other dimensions was determined. This would provide theoretical support for the design and further application of three laminated flexural vibration transducer.