Design And Research Of Shaper Cutter For Precision Slotting Involute Internal Beveloid Gear

The involute beveloid gear has different modification coefficients on different end sections.Its tooth surface is a spiral involute surface.The backlash can be adjusted by the axial movement of the gear.Theoretically,the zero-backlash transmission can be realized,so it can be used in the precise transmission with strict requirements for backlash,such as the beveloid RV reducer.At present,the precision machining method of external beveloid gear has become mature,but the research on the machining of internal beveloid gear is less.The precision machining of internal beveloid gear is still a technical problem in engineering,which limits the popularization and application of internal beveloid gear.In this paper,a design method of shaper cutter for precision slotting of internal beveloid gear is proposed.In this method,when designing the profile of the shaper cutter,the slotting angle is taken as the design parameter of the cutter,and the cutter parameters are optimized with the minimum tooth surface error as the goal,so as to determine the profile of shaper cutter.The designed shaper cutter only needs to do linear motion according to the designed slotting angle to realize the precision slotting of the internal beveloid gear.This method does not need to change the machine tool,and the cutting movement of the shaper cutter is a simple linear movement.It has a high machining efficiency and is convenient for popularization and application while ensuring machining accuracy.The main contents of this paper are as follows:(1)Based on the machining principle of internal beveloid gear,the machining errors with the designed bevel angle machining and the optimized slotting angle machining are analyzed in detail;The results show that the above two methods are difficult to achieve precision slotting of internal beveloid gear;Based on the theory of gear meshing,the machining coordinate system is established,the meshing equation is derived,the tooth profile equation is given,and the optimization model of tooth profile parameters is established;The error distribution law of the method of this paper and the slotting angle optimization method is compared and analyzed,which verifies the feasibility of this method;(2)The structure parameters of the shaper cutter are analyzed,and the selection methods of the design parameters,such as the number of teeth,the front angle,the back angle,the modification coefficient and the thickness of the shaper cutter are given;According to the design parameters of the internal beveloid gear,the calculation program of the tooth surface set of the shaper cutter is compiled,and the solid model of the gear shaper is established;(3)The influence of the design parameters on the machining accuracy of the internal beveloid gear is analyzed and compared with the optimized slotting angle machining method to further verify the effectiveness of this method;The influence of process parameters on gear machining accuracy is studied,which provides a theoretical basis for the optimization of internal beveloid gear machining process;(4)Based on the principle of machining simulation,the simulation model of gear shaping machining is established and the machining program is compiled;The shaper cutter designed in this paper is used to simulate the manufacture of gears with different design parameters and process parameters;The simulation results are compared with the theoretical calculation results to verify the correctness of the theoretical calculation and the design of shaper cutter.