Design Of Ultrasonic Vibration System And Calculation Of Performance Parameters

The ultrasonic vibration system is a core of the power ultrasonic equipment, which is generally composed of transducer, amplitude transformer and implement. The method is classical, which the frequency equations of the transducer and horn are deduced separately and the sizes of the various modules are determined under the identical resonance frequency according to the one dimensional vibration theory, where after its performance parameters such as stress and displacement and amplification coefficient, are calculated. When the structure or the shape of vibration system is complex, the process that is to deduce frequency equation and the expressions of its performance parameters is extremely tedious, and the work load of computation is very big; When changes material or the geometry size of a certain vibration module, the process that the effect on performance parameters of vibration system is computed is troublesome.The other methods such as finite element method, equivalent circuit method, substitution method and apparent elastic method, which are used to design ultrasonic vibration system, have their respective merits and disadvantages. For example, any simplified assumption doesn't be made when the ultrasonic vibration system is analyzed or designed with the finite element method, but the model must be carried on according to some kind of principle. That is also quite troublesome. Some performance parameters are given out when the lumped parameter system that is at resonance condition is handled with by he equivalent circuit method, and the parameters are expressed by the analytic expressions. We are unable exactly to know stress and displacement of the vibrating system.The advantage of the four-terminal network method is that the subroutine about the four-terminal network chains of the ultrasonic module of the random shape is programmed .The general computation procedure is formed calling the subroutine according to the module type. The performance parameters of the vibrating system can be calculated, such as amplification coefficient, displacement node, configuration factor: stress and displacement and so on when the characteristic parameters of material and the geometry parameters of the various modules are inputted, and also the admittance response, the voltage transfer function, the electric current transfer function and the conductance circle for the active vibrating system are calculated. The movements of the, performance parameters are computed when the module material or geometry sizes are changed comparing the two computed results.The paper content mainly has following several aspects:1.The equivalent network of the vibration system modules including the solid and hollow, and theirs the four-terminal network chains are deduced.2.An algorithm basing on analyzing the general character of computing the performance parameters of Amplitude transformer is studied. The performance: parameters of the multistage horn can be computed, and the distribution curve of stress and displacement can be drawn up.3.The load characteristics of the horn are studied. The change of resonance: frequency, amplification coefficient, displacement nodes and configuration factor are analyzed when the load is altered.4. An algorithm about computing the performance parameters of the vibration system of multistage modules is studied. It is used to compute the mechanical performance parameters, the admittance response, the voltage transfer function, the electric current transfer function, quality factor, bandwidth and so on.5.The algorithms about computing the performance parameters of the horn, transducer and vibration system are realized with GUI (Graphical User Interface.). The input of the correlation parameter and the output of the computed result are displayed, which provides convenience for designing or optimizing the horn, transducer and vibration system.