Research On Modeling Of Output Amplitude Of Ultrasonic Cutting System Based On Energy Conservation

Ultrasonic cutting technology is widely used in the processing of Nomex honeycomb composites because of its strong processing ability,environmental protection and low cutting temperature.In ultrasonic machining,the amplitude of ultrasonic cutting system,as one of the most important process parameters,directly affects the quality and stability of machining.Grasping the amplitude of ultrasonic cutting system can understand the processing performance of the system,which is convenient for making corresponding prediction and adjustment in time,but it is difficult to directly measure the amplitude in the processing environment.Based on the electromechanical equivalent model of the ultrasonic cutting system,the output amplitude model is established by analyzing the energy conservation of the ultrasonic cutting system in the process of machining.The research lays a theoretical foundation for monitoring and mastering the output amplitude of ultrasonic cutting system in the process of machining,and has important engineering significance and theoretical value for ensuring that ultrasonic machining can operate more efficiently and stably.The main research work and achievements are as follows:1.The electromechanical equivalent vibration model of ultrasonic cutting system is established.Like the electromechanical system,the mechanical vibration model and corresponding circuit of ultrasonic cutting are established;At the same time,the force load in machining is equivalent to the electromechanical equivalent model,which is the theoretical basis for the subsequent study of the energy transfer relationship of ultrasonic cutting system from the perspectives of mechanical vibration and electrical circuit.2.According to the principle of energy conservation,the output amplitude model of ultrasonic cutting system is established.The resonant characteristics of the equivalent circuit of the ultrasonic cutting system are analyzed,and the parallel resonant point is taken as the main frequency of the ultrasonic cutting of Nomex honeycomb materials;The energy input of the ultrasonic power supply to the ultrasonic cutting system is analyzed from the electrical circuit,and the energy output of ultrasonic cutting system is analyzed from the perspective of mechanical vibration;According to the principle of energy conservation when ultrasonic cutting system is working,the amplitude model of ultrasonic cutting system output in the processing situation is established.3.The equivalent circuit parameter modeling of ultrasonic cutting system under cutting force load.Taking the ultrasonic cutting of Nomex honeycomb materials as the research object,the cutting force component in the feed direction during machining is selected as the main load force.Through the observation and analysis of experimental data,In the equivalent circuit model,the influence rule of different levels of force load on electrical parameters is obtained,and the relationship model of parallel resonant frequency,dynamic resistance and force load is determined by comparing and analyzing the assembly function and the least square function.4.Modeling and analysis of output amplitude of ultrasonic cutting system.Based on the relationship model between the equivalent circuit parameters of the ultrasonic cutting system and the force load,the relationship model between the system output amplitude and the force load in ultrasonic cutting of Nomex honeycomb materials was established,and was verified by the amplitude test experiment;Analytical force load and ultrasonic cutting system input system power₁ The relation between₁ is established by using the properties of inverse function The relationship model between₁ and the output amplitude of ultrasonic cutting system has theoretically realized the research goal of mastering the output amplitude of the system in ultrasonic machining.