Abstract: Ultrasonic vibration can reduce honing forces efficiently and ultrasonic cavitation and machining liquid can realize real-time dynamic washing, which decrease the jam of honing wheel and increase the honing efficient, so the composition of ultrasonic machining and gear honing is a fine machining of gears with good application future. The gears with big diameter, thickness, which are machined by ultrasonic honing, are special loads which influence the machining frequency of vibration system heavily, hence the horn and gear must be considered at same time while the vibration system is designed. The frequency equations are derived according to stress match, considering gear as a thin bar and adopting exponential horn. Then the influences of vibration of transformer which consists of horn and gear are explored, which come from the length of horn and the machining frequency. It has been discovered that the reso-nance frequency of the horn is the detune one of transformer and the resonance frequency is not same as one of horn, which provide theoretical rules for transformer design.

Key words: Gear honing, Transformer, Ultrasonic machining