Study Of Design Theory On Gear Skiving

Skiving is a new gear processing method.Compared with traditional gear processing methods such as gear hobbing,gear shaping,gear shaving,and gear pulling,it has obvious advantages in machining accuracy,machining efficiency,service life,and green environmental protection.It can solve that the traditional gear processing methods cannot process nonconsecutive and no tool withdrawal groove spiral cylindrical gears effectively.At present,skiving machining has made certain research results in the processing principle,tooth surfaces formation process,skiving tool design,skiving machine design,but the design theory of skiving tool is still not mature enough to be widely promoted and applied.Therefore,this paper conducts theoretical research on the design calculation of the cutting edge skiving tool,error analysis,and cutting force calculation.The main research contents are as follows:(1)Based on the meshing theory of the spatial interleaving axis helical gears,the machining principle,movement relationship,and cutting mechanism of the skiving machining are studied,and through the principle of metal cutting,the tooth surface formation process of the machined gear is analyzed in the skiving machining process.Finally,the conceptual model of the skiving machine was designed.(2)According to the motion relationship between the skiving tool and the workpiece,a motion model of skiving processing is established,the tooth surface equation and the normal vector equation of workpiece are derived.The relative velocity and the meshing equation of the skiving tool and the workpiece are derived.Based on conjugation principle of space curved surface,to calculate the conjugation surface equation of tooth surface.Analyzing all rake surface types of gear cutters,selecting plane as the rake surface of skiving tool,and finally deriving the mathematical equation of the rake surface of skiving tool.Analyzing various methods of the intersection line of free-form surfaces and function surfaces,selecting numerical algorithm to calculate the cutting edges of the skiving tool,and applying improved Euler method to derive the mathematical equation of the cutting edges of skiving tool finally.Finally,the cutting edges equation of the skiving tool can be calculated conveniently and quickly,which improves the design theory of the skiving tool.(3)According to the forming process of the tooth surface in skiving tool,the mathematical model of the theoretical tooth surface is established,and using the method of combining the discrete grids and tracing algorithm to calculate the theoretical machining error of the gear tooth surface.The interference factors in the process of skiving tool are analyzed,and using the method of combining the discrete grids and tracing algorithm to calculate the maximum amount of interference.Finally,parameters is optimized,and to establish the optimization model.Using the above-mentioned parameter optimization model,the processing parameters and tool parameters suitable for the skiving machining can be quickly obtained.(4)The tooth of skiving tool are divided into three segments: the cutting-in edge,the cutting-out edge and the top edge.The cutting force on each cutting edge is calculated using the idea of differential.Finally,the vector summation calculates the total cutting force on a single tooth.Analyze the relative position relationship between the workpiece and the skiving tool during the skiving process.Calculate the total number of skiving tool tooth participating in cutting at any time.Perform vector summation of the cutting forces on all skiving tool tooth involved in cutting.Finally,calculating the total cutting force on the skiving tool.The calculation method of the total cutting force of the skiving tool has laid a corresponding theoretical foundation for the in-depth study of the cutting mechanism of the skiving tool.