It was found that the transducer has the highest sensitivity at the 32nd order resonant frequency, which agrees with the experimental result. This indicates the validity of the model.

研究表明，其中第32阶谐振频率上探头的灵敏度最高，这一分析结果与实验结果基本一致，验证了所建立的理论模型的有效性。

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Finally, an asymmetrical multi-frequency transducer is designed, the resonant frequency of transducer is obtained, that is, This type of transducer can be used in ultrasonic cleaning and other fields.

另外还设计了一种非对称的多频纵振动换能器，其共振频率方程为：这种类型的多频纵振动换能器可以应用到超声清洗中。

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Through observing of resonant and vibration mode, validate the design parameters of transducer.

通过对谐振频率和振动模态的观察，验证了换能器设计参数的正确性。

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