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基于六端網絡法的壓電超聲換能器優化設計

Optimized design for a piezoelectric ultrasonic transducer based on the six-terminal network

  • 摘要: 壓電超聲換能器傳統四端網絡設計方法忽略了壓電陶瓷晶堆內部的機電耦合過程,使用該方法所設計的壓電超聲換能器尺寸誤差大,輸出的超聲振幅較小。為了提高壓電超聲換能器尺寸設計精度、增大換能器輸出的超聲振幅,本文將考慮壓電陶瓷晶堆內部機電耦合作用的六端網絡引入到壓電超聲換能器的設計中,分別采用四端網絡法和六端網絡法設計得到兩個不同尺寸的壓電超聲換能器A和B,通過有限元方法對比分析了兩個換能器的固有頻率和輸出振幅,并進一步通過實驗驗證了設計理論與仿真分析的有效性。研究結果表明,在相同激勵電壓下,采用六端網絡法設計得到的壓電超聲換能器B輸出的超聲振幅是換能器A輸出振幅的1.5倍,六端網絡法設計壓電超聲換能器可以提高所設計換能器的振動性能。

     

    Abstract: As an effective method for efficient precision machining of hard and brittle materials, ultrasonic-assisted machining has been widely researched and applied over the past years. As a result, higher requirements are put forward for the performance of ultrasonic-assisted machining equipment. The ultrasonic transducer is one of the core components of an ultrasonic-assisted machining system, which determines its machining performance. The study on the design method of an ultrasonic transducer is necessary for the establishment of an ultrasonic-assisted machining system. The four-terminal network method based on mechanic-electric analogies is an effective design method, which regards the mechanical vibration system as an electrical four-terminal network. The wave velocity of the mechanical wave in the vibration system can be equivalent to the current in the equivalent circuit, and the force impedance at both ends of the vibration system can be equivalent to the electrical impedance at both ends of the equivalent circuit. The size of the ultrasonic transducer can be calculated according to the electromechanical similarity theory and vibration boundary conditions. However, the conventional four-terminal network design method of the piezoelectric ultrasonic transducer (PUT) neglects the electromechanical coupling process inside the stacked piezoelectric ceramics (SPCs). The PUT designed by this method has a big size error and low output amplitude. Aimed to obtain a higher ultrasonic amplitude of PUT, the equivalent six-terminal network of SPCs considering electromechanical coupling is introduced into the traditional design method, and two PUTs of different sizes are designed by the four-terminal network and the six-terminal network, named transducer A and transducer B, respectively. The natural frequency and output amplitudes of the two PUTs are analyzed and compared by the finite element method, and the experiments further verified the validity of the theory and the simulation analysis. When the excitation voltage is the same, results show that the output amplitude of transducer B (designed by the six-terminal network) is 1.5 times higher than that of transducer A. Finally, applying a six-terminal network to the PUT designing can improve the vibration performance of the PUT effectively.

     

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