Abstract
The paper reports a tooth profile modification method of spur gear. After establishing a standardized mathematical model for optimized tooth profile and simulating meshing process with ANSYS finite element analysis, we obtained 625 groups of gear models with different modification parameters. The group with minimum transmission errors owns the optimal parameters. Genetic algorithm was adopted in the entire process for the purpose of reducing the variation of transmission errors in meshing process. The arc and parabolic modification were doing the same processing. After comparing the transmission errors fluctuation produced by the meshing process of gear of nonmodification with arc modification and parabolic modification, we found that the best modification effects of arc modification and parabolic modification were both reduced by 90%. The modification method makes the gear drive process more stable and efficient, and it is also promising in general application for gear drive.
Highlights
As a widely used mode of transmission, gear transmission has been deeply studied
After comparing the transmission errors fluctuation produced by the meshing process of gear of nonmodification with arc modification and parabolic modification, we found that the best modification effects of arc modification and parabolic modification were both reduced by 90%
It is shown that parabolic function of transmission errors is able to absorb the linear function of transmission errors, and it studies the vibration of gear drives
Summary
Profile modification means the change of the shape with standard involute curve, and it is a method which is able to improve the performance of gear. As an optimal design of gear transmission, profile modification can significantly reduce the vibration and noise of gears. There are some studies focusing on reducing transmission errors and improving performance of gear drive. It is shown that parabolic function of transmission errors is able to absorb the linear function of transmission errors, and it studies the vibration of gear drives. Modifying the involute straight tooth spur gear with straight line, parabola and sine curves can improve the dynamic performance of gear drive [2]. Ozel [4] investigates the radial modification method of using three-dimensional CNC milling tools and determines the parameters of gear transmission errors by combining mathematical formulas
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