Research On The Design Of Curved Tooth Face Gear And Machining By Flying Cutter

This paper takes involute helical gear and curved tooth face gear transmission system as the research object.The theoretical modeling and parameter selection of the curved tooth face gear are analyzed and researched.In addition,this paper uses the flying cutter machining method to carry out the theoretical machining simulation of the curved tooth face gear,and builds all the calculation processes as a MATLAB GUI interface.Finally,the trial cutting test of the curved tooth face gear is carried out,which verifies the correctness of the modeling theory of the curved tooth face gear and the feasibility of the flying cutter machining theory.Based on the principle of involute forming,the tooth surface equation of involute helical gear is deduced by using mathematical relationship in this paper.According to the gear meshing relationship,the tooth surface equation of curved tooth face gear is solved by coordinate transformation.In order to reduce the difficulty of face gear modeling,a simplified modeling method is proposed based on the machining principle.The modeling process is transformed from three-dimensional surface solution to twodimensional cylindrical solution,and finally the theoretical model of curved tooth face gear is obtained.By studying the four parameters of curved tooth face gear: the number of teeth,the inner diameter,the outer diameter,the eccentricity,their values and selection ranges are determined.Then,through a set of specific parameters of the pair with curved tooth face gear,the transmission model of the involute helical gear and the curved tooth face gear is established.The transmission system is subjected to finite element analysis in ANSYS and dynamic simulation in ADAMS to determine the position of the contact area and the correctness of its motion characteristics.On the basis of theory,the hob machining method of the involute helical gear is verified.According to the existing hob,the hob machining simulation is carried out in the VEIRCUT simulation software to solve the machining problem of the involute helical gear.Then,based on the existing processing theory,the processing method of the flying cutter to process the curved tooth face gear is proposed,the tooth surface equation of the flying cutter is solved,the complete two-dimensional and threedimensional flying cutter model is designed,and the movement process of the flying cutter machining the curved tooth face gear is explored.VEIRCUT simulation software is used for simulation processing to verify the theoretical feasibility of machining curved tooth face gears with flying cutter.Finite element analysis of flying cutter was carried out with ANSYS to verify the mechanical properties of flying cutter.All the MATLAB programs used in the processing of the curved tooth face gear are integrated,and the GUI function module is used to build the modeling and processing software interface of the curved tooth face gear.According to the actual situation,JCB60 gear milling machine is selected as the processing machine tool.The flying cutter is designed and the programming of the machine tool control program are carried out.Then,the trial cutting test is carried out on this machine tool.The precision measurement of the three-coordinate measuring instrument and the hobbing inspection of the hobbing machine are carried out on the processed curved tooth face gear,and the practical feasibility of the flying cutter machining method is confirmed through verification.