# Digital simulation of cylindrical gear hobbing process

The basic research idea is: carry out digital simulation on the gear hobbing process of cylindrical gear, analyze the position relationship between hob and workpiece, establish the three-dimensional spatial meshing simulation model of hob and cylindrical gear, analyze the angle relationship between hob and gear in gear hobbing, and solve the intersection between the normal of gear tooth surface and the involute spiral surface of hob, On this basis, the simulated tooth profile of gear hobbing machining is obtained to verify the feasibility, correctness and universality of the proposed gear hobbing machining simulation method. The simulation model of gear hobbing machining is proposed, and the simulation test is carried out on the intersection angle error of the installation axis of the modified gear and hob.

(1) This paper expounds the research background and significance of cylindrical gear hobbing machining simulation, summarizes the development status of gear machining machine tools, summarizes the research status of hobbing machining at home and abroad, and points out the source of this subject.

(2) Gear hobbing processing principle and error analysis, introduce the gear hobbing processing principle, determine the structural parameters of hob, including the selection of basic worm of hob and the selection principle of gear hob, and introduce the installation requirements of hob, the adjustment of installation angle and the determination of axial position of hob, The gear error is classified according to the main source of gear hobbing error and the gear rotation direction when the error occurs.

(3) The modeling of cylindrical gear hobbing is based on the coordinate system of hob involute helicoid and spur gear, and the parameter equations of hob and spur gear are deduced. Based on Mathematica software, combined with the specific basic parameters of hob and gear, the three-dimensional model simulation of hob involute helical surface and spur gear tooth surface is realized.

(4) Digital simulation of gear hobbing process, a new digital simulation method of cylindrical gear hobbing process is proposed. Through the coordinate transformation matrix, the gear tooth surface coordinate system is transformed into the hob coordinate system, and then the gear tooth surface after coordinate transformation and the hob involute helical surface are combined together, which is the three-dimensional meshing simulation model of gear hobbing. By analyzing the rotation angle relationship between hob and gear in the process of cylindrical gear hobbing, and then solving the intersection of gear tooth surface normal and hob involute helical surface, the simulated tooth profile of cylindrical gear hobbing is obtained, and the feasibility, correctness and universality of the proposed gear hobbing simulation method are verified.

(5) Based on the application test of gear hobbing model simulation, the application test of the proposed digital simulation method of gear hobbing processing process is carried out. Using the gear hobbing processing simulation model, the simulation test of positive and negative modified gears is realized by increasing or reducing the center distance between hob and gear, and the simulation test of hob installation axis intersection angle error is carried out, Then the simulated tooth profile is compared with the theoretical tooth profile, and the influence of different hob installation axis intersection angle error on the simulated tooth profile is obtained.

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