Analysis of Geometric Characteristics of Cycloidal Transmissio
Xiangmao Huang, Jing Zhang
Abstract
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Xiangmao Huang, Jing Zhang
Abstract
Open-access reader
Abstract In order to improve the transmission performance of RV reducer, the equation of cycloid tooth profile is deduced according to the transmission principle of cycloid.The relationship between the curvature radius of cycloid tooth profile and the rotation angle is deduced. The rotation angle corresponding to the maximum curvature radius is solved and the value of the radius of needle tooth under the circumstance of avoiding top cutting is given. Pressure angle is an index to evaluate transmission performance. This paper deduces the relationship between pressure angle and rotation angle, simulates the influence of eccentricity, radius of pin teeth and radius of distribution circle of pin teeth on pressure angle. The simulation show that the position with pressure angle of 90 degrees appears at the top and root of cycloidal gear, which is not conducive to the transmission performance of cycloidal gear, the position with the best transmission performance appears in the middle of cycloidal gear.The change speed of pressure angle near the root of tooth is faster than that near the top of tooth. The results show that increasing the eccentricity properly or reducing the radius of the center circle of the pin teeth can make the minimum curvature close to the root of tooth, which is beneficial to improving the load-carrying capacity of cycloidal gear.
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Abstract In order to improve the transmission performance of RV reducer, the equation of cycloid tooth profile is deduced according to the transmission principle of cycloid.The relationship between the curvature radius of cycloid tooth profile and the rotation angle is deduced. The rotation angle corresponding to the maximum curvature radius is solved and the value of the radius of needle tooth under the circumstance of avoiding top cutting is given. Pressure angle is an index to evaluate transmission performance. This paper deduces the relationship between pressure angle and rotation angle, simulates the influence of eccentricity, radius of pin teeth and radius of distribution circle of pin teeth on pressure angle. The simulation show that the position with pressure angle of 90 degrees appears at the top and root of cycloidal gear, which is not conducive to the transmission performance of cycloidal gear, the position with the best transmission performance appears in the middle of cycloidal gear.The change speed of pressure angle near the root of tooth is faster than that near the top of tooth. The results show that increasing the eccentricity properly or reducing the radius of the center circle of the pin teeth can make the minimum curvature close to the root of tooth, which is beneficial to improving the load-carrying capacity of cycloidal gear.
Key concepts: Cycloid, Pressure angle, Cycloid gear, RADIUS, Eccentricity (behavior), Rotation (mathematics), Curvature, Radius of curvature