Equivalent circuit model and engineering design analysis of the wedge-shaped ultrasonic cutting blade
In order to optimize the engineering design theory of wedge ultrasonic cutter,the equivalent circuit model of wedge ultrasonic cutter is derived based on the wave equation of variable cross-section elastomer.The resonant frequency and amplification coefficient of the wedge ultrasonic cutting tool are calculated by the equivalent circuit method and the finite element method.According to the calculation results,the corresponding experimental samples are designed and manufactured.The key parameters such as resonant frequency and displacement amplification coefficient of the experimental samples were tested.The results show that the equivalent circuit of the wedge-shaped ultrasonic cutting tool is a non-reciprocal two-port equivalent network.The relative error between the theoretical calculation result of the resonance frequency and the experimental test result is less than 5%.The results of resonance frequency and amplification coefficient of the wedge-shaped ultrasonic cutting tool obtained by the equivalent circuit method,the finite element method and the experimental test are consistent.The effective electromechanical coupling coefficient of the wedge cutter decreases with the increase of the longitudinal size,and the displacement amplification coefficient increases with the increase of the longitudinal size.The results provide a concise theoretical design and analysis model for engineering design of wedge ultrasonic cutter.
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