Design and experiment of ultrasonic longitudinal-flexural resonance transducer based on Mindlin theory
FU Junfan1，QIN Huibin1，LV Ming2
1. Shanxi Key Laboratory of Advanced Manufacturing Technology，North University of China，Taiyuan 030051，China；
2. Shanxi Key Laboratory of Precision Machining，Taiyuan University of Technology，Taiyuan 030024，China
Abstract：An ultrasonic longitudinal-flexural resonance transducer is consisted of a horn and a stepped annular plate with multi materials, and applied on ultrasonic machining and ultrasonic treatment. In order to design longitudinal-flexural resonance transducer with rapidness and accuracy, a design method for transducers was proposed with Mindlin theory. Based on Mindlin theory, formulae for displacement, rotation angle, bending moment, and shear force of moderately thick annular plates may be obtained. By continuous and boundary conditions among vibrating elements, vibration model and equations of longitudinal-flexural resonance transducer can be established. In view of the vibration model, a design software for the transducer is developed with Matlab/GUI. Two longitudinal-flexural resonance transducers were designed theoretically. Finite element analysis, impedance experiment and ultrasonic resonance experiment of the transducers were carried out. Results proved that resonance frequency of transducers designed by this design method was in a good agreement with design frequency. The design method showed high design accuracy, and can provide reference for transducer design.
付俊帆1，秦慧斌1，吕明2. 基于Mindlin理论的功率超声纵弯谐振变幅器设计理论与实验研究[J]. 振动与冲击, 2018, 37(7): 259-266.
FU Junfan1，QIN Huibin1，LV Ming2. Design and experiment of ultrasonic longitudinal-flexural resonance transducer based on Mindlin theory. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(7): 259-266.
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