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Design for torsional transducer in ultrasonic machining based on equivalent circuit

A design method for ultrasonic torsional transducer is presented based on the one-dimensional wave equation and the equivalent circuit method. Firstly, the equivalent circuits of torsional transducer and horn are constructed. The mounting flange can be placed right at the nodal plane, where no angular displacement occurs. An ultrasonic torsional tool is fabricated according to the presented method, and the resonance frequency and torsional vibration amplitude are measured by Laser. The comparison between the measured and predicted results shows that the present method is reliable, simple and straight.