Design of full wave piezoelectric ultrasonic transducer based on mechanical quality factor

In the conventional design method of full wave piezoelectric ultrasonic transducer, more size parameters and complex calculation are needed. A method of designing full wave piezoelectric ultrasonic transducer based on mechanical quality factor is proposed. The frequency equation of the full wave piezoelectric ultrasonic transducer is derived based on the piezoelectric ultrasonic theory. The equivalent circuit of each component of the full wave piezoelectric ultrasonic transducer is derived by using the electrical theory. The equivalent mechanical impedance at any equivalent section is derived according to the equivalent circuit. Then the theoretical relationship between the size parameters of each part of the full wave piezoelectric ultrasonic transducer and its mechanical quality factor is derived. By the contour maps of mechanical quality factor and frequency equation, the dimensions of each part of the full wave piezoelectric ultrasonic transducer are designed and calculated, and the resonance frequencies of the full wave piezoelectric ultrasonic transducers with these dimensions are simulated and analyzed by ANSYS. Results show that the resonance frequency of the designed full wave piezoelectric ultrasonic transducer has high precision and meets the requirements for engineering application.