# Digital simulation of gear hobbing process

Digital simulation technology is a comprehensive technology based on a variety of disciplines and theories, using computer and its corresponding software as tools, and using the method of virtual experiment to analyze and solve problems. The technology is widely used in engineering machinery, medical devices, transportation, integrated circuits, national defense and other fields. Digital simulation refers to the process of first establishing the mathematical model of the object to be studied, and then experimenting and studying the mathematical model on the computer.

Firstly, the gear tooth surface coordinate system is transformed into the hob coordinate system through the coordinate transformation matrix, 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 gear hob involute helical surface, the simulated tooth profile of cylindrical gear hobbing is finally obtained.

Through the coordinate transformation matrix MWG, the gear tooth surface coordinate system SG is transformed into the hob coordinate system SW. Finally, 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 processing. Then, the rotation angle relationship between hob and gear in gear hobbing is analyzed. By solving the intersection of the normal of gear tooth surface and the involute spiral surface of hob, the minimum unfolding length is obtained, and finally the simulated tooth profile of gear hobbing is obtained. By comparing the simulated tooth profile with the theoretical involute tooth profile, the error value is less than 0.5 μ m. Simulation results verify the feasibility and correctness of the proposed method. Finally, the basic parameters of two groups of hobs and gears are given to verify the universality of the proposed digital simulation method for gear hobbing process.

The research realizes the digital simulation of gear hobbing process, which provides the preliminary conditions for improving the gear machining accuracy and promoting the digital manufacturing of gear.

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