Grinding Path Planning And Dynamic Simulation Analysis Of Non-orthogonal Face Gears

Face gear transmission is a new type of gear transmission.Due to its excellent characteristics of large transmission ratio and high bearing capacity,it has been successfully used in new technologies such as helicopter reducers and chainless bicycles abroad,and has demonstrated its unique and outstanding transmission advantages in the aviation field.Although domestic scholars have carried out a lot of research on the construction principle and grinding method of orthogonal face gear tooth surface,due to the extensive application of face gear in military affairs,foreign countries have carried out a long-term technical blockade on domestic,resulting in late research on face gear in China.The research on grinding of non orthogonal face gear is not in-depth,and the integrity of tooth root transition surface of non orthogonal face gear,the determination method of grinding allowance of working tooth surface The research on the universality of grinding method and the rationality of grinding track is insufficient.The main contents of this paper are as follows:1.As for the problem that the transition surface model cannot be completely modeled in the process of modeling the tooth root of non orthogonal face gear,this paper constructs its three-dimensional modeling by using the basic principle of machining the non orthogonal face gear root with gear shaper cutter,and deduces a relatively complete equation of the transition surface of the tooth root of non orthogonal face gear.The research results show that when machining non orthogonal face gear,if the gear shaper cutter used for machining has a fillet,the curvature of the tooth root on the transition surface will be large,and the machined gear will be smooth at the turning point,so a more accurate three-dimensional model of non orthogonal face gear can be obtained.2.When grinding non orthogonal face gear,the grinding allowance cannot be determined.Based on the motion equation of the non orthogonal face gear,the mathematical structure and 3D model of the tooth surface of the non orthogonal face gear before grinding are established,and the 3D model of the cutting allowance on the tooth surface is deduced,as well as the curve fitting of the cutting allowance.Therefore,on the corresponding non orthogonal face gear tooth surface,the same gear shaper cutter modification normal vector will have different cutting allowance at different positions,and the cutting allowance value at the inner diameter is the largest.3.In the production and manufacturing process of non orthogonal face gear,the processing versatility is poor,and it is impossible to rapidly produce in large quantities.In this paper,a method of grinding non orthogonal surface gears by equipping grinding wheels on a six axis industrial robot is proposed.When selecting the grinding path for gear surface grinding,Hilbert space filling curve is used to select the appropriate processing technology for grinding path.Based on this,the grinding state of the gear surface model is constructed.Then,through the actual test,the Hilbert space filling curve is used to describe the corresponding trajectory.After grinding,the three-dimensional model of the theoretical tooth surface and the actual tooth surface of the non orthogonal gear can be obtained to a great extent.4.The simulation characteristics of the non orthogonal face gear grinded by the reserved grinding allowance method are analyzed.The movement of the non orthogonal face gear is perfected,the movement characteristics are analyzed,and the simulation analysis is carried out,so as to change the number of teeth and running speed engaged with the non orthogonal face gear,obtain very accurate dynamic simulation parameters,and obtain the variation law of the transmission accuracy of the non orthogonal face gear under different parameters of the number of teeth and speed of the cylindrical gear.The experimental results show that when the number of gear shapers is similar to the number of teeth of cylindrical gears,the accuracy is increased,and the torque will be greater when engaging.In this paper,the model and theory of non orthogonal face gear are derived and improved,and a great breakthrough is made in the analysis accuracy of dynamics.Through the relationship between the modification coefficient and the grinding allowance,a more accurate and complete model is obtained by reserving the grinding allowance.The robot is used to grind the non orthogonal surface gear,and the gear track is planned;After the experiment,dynamic simulation analysis is adopted to process and optimize the experimental data of non orthogonal face gear,and a new machining process of non orthogonal face gear is obtained.Therefore,the research in this paper has practical significance and research value for non orthogonal face gear grinding.