Study Of The Piezoelectric Ultrasound Fiber Cutting Annular Transducer With Power Function

Ultrasonic cutting technology,such as ultrasonic cutting of food,textiles,rubber and composite materials,has the advantages of high efficiency,energy saving,and environmental protection.It has been widely applied in machinery,metallurgy,energy,food,materials,medical,aerospace and other fields.With the continuous development of ultrasonic technology,the application of ultrasonic cutting has been expanding.In the field of fiber cutting,The traditional way of cutting is to cut the fiber by applying a down force of the sharp blade made of high strength material.It has the disadvantages of complex cutting process ? easy pollution of the fiber?easy fracture at the cross-section of the fiber and short service life of the cutter.In order to meet the needs of the market,improve the efficiency of fiber cutting and improve the effect of fiber cutting.the annular fiber cutter with power function cross-section in radial vibration and the piezoelectric ultrasound fiber cutting annular transducer with power function are designed.The mainly contents of this paper are as follows:(1)Based on the principle of electro-mechanical analogy and the plane stress equation of a thin annular plate with thickness variation,the equivalent circuit,the resonance frequency equation and the displacement amplitude magnification coefficient of the annular fiber cutter with power function cross-section in radial vibration are derived.The relationships between the radius ratio and the radial resonance frequency and the displacement amplitude magnification coefficient at the first and second order resonance modes of the annular fiber cutter are analyzed.The result shows that the equivalent circuit of the annular fiber cutter with power function cross-section in radial vibration is a novel non-reciprocal two-port equivalent network.The first and second resonance frequencies of the annular fiber cutter increase as its radius ratio increases;the displacement amplitude magnification coefficient decreases firstly and then increases as the radius ratio increases at the firstorder radial resonance mode;the displacement amplitude magnification coefficient increases as the radius ratio increases at the second order radial resonance mode.The displacement amplification magnification coefficient at the second order resonance mode is larger than that of the first order resonance mode,so the second order radial resonance mode has better radial vibration performance.The theory results are confirmed by the finite element method(COMSOL Multiphysics).(2)According to the equivalent circuit model of the annular fiber cutter with power function cross-section,the piezoelectric ultrasound fiber cutting annular transducer with power function is designed;the first and second order radial resonance,anti-resonance frequency and the effective electro-mechanical coupling coefficient of the piezoelectric transducer are calculated.The results are in good agreement with the finite element method.It provides a concise design theory for the engineering application of the annular fiber cutter with power function cross-section and the related piezoelectric transducer.The conclusion in this paper provides an important theoretical reference for radial ultrasonic transducers in the fields of fiber cutting,rubber cutting and composite material cutting.