Precise modeling method for biarc correction cycloidal gear

Abstract

The invention relates to a precise modeling method for a biarc correction cycloidal gear and belongs to the technical field of gear modeling. The method concretely includes the steps that basic parameters are determined, the reference circle, the addendum circle and the dedendum circle of the gear are drawn, a biarc correction cycloid is calculated according to the basic parameters in the biarc correction cycloid and interior and exterior tooth profile equations, a single tooth profile and a single tooth blank are established, the single tooth profile and the tooth blank are imported into professional software so that the solid body can be stretched and Boolean operation can be carried out, modeling of the single tooth is completed, and then modeling of the whole gear is completed by applying array. The precise modeling method for the biarc correction cycloidal gear is an important modeling method for actual machining and simulation operation of the biarc correction cycloidal gear and has the advantages of being high in modeling precision and efficiency, and simple and convenient in calculation, design and manufacturing process and ensuring the design precision and the manufacturing precision of the biarc correction cycloidal gear.

Description

technical field [0001] The invention relates to an accurate modeling method of a cycloidal gear with double arc correction, and belongs to the technical field of gear modeling. Background technique [0002] Gears are very critical basic components in industrial systems, and gear transmission is the most widely used mechanical transmission in machines and instruments. Among them, the involute gear has the advantages of easy manufacture, easy maintenance, large load capacity and long service life, making this gear transmission the most widely used transmission form so far. However, the prominent problem brought about by its unique meshing method is: as the gear speed increases or the load increases, the thermal deformation or mechanical deformation of the gear teeth will increase significantly, and the deformation of the gear and its supporting system will also increase. Coupled with installation and manufacturing errors, it is inevitable that there will be meshing and meshin...

AI Technical Summary

Problems solved by technology

However, the prominent problem brought about by its unique meshing method is: as the gear speed increases or the load increases, the thermal deformation or mechanical deformation of the gear teeth will increase significantly, and the deformation of the gear and its supporting system will also increase. Coupled with installation and manufacturing errors, it is inevitable that there will be meshing and meshing impacts, sudden load changes, speed fluctuations, and vibrations of different vibration modes and frequencies in gear transmission, thereby reducing transmission accuracy, shortening service life, and reducing Bearing capacity, increase vibration noise

However, there are two main problems with arc gears: one is that it is difficult to improve the load-carrying capacity of such gears, mainly because the tooth shape is limited, so that the bending strength of the dedendum is slightly insufficient; the other is that the processing technology is more troublesome, which is due to A pair of meshing gears, requiring two hobs (convex-concave teeth) for machining

However, there are still many problems in the theory of cycloidal gears: such as the lack of rigorous mathematical derivation, and the lack of corresponding theories for issues closely related to transmission characteristics such as meshing equations and meshing lines.

However, the modeling process of this kind of gear is very complicated, and the fitting accuracy is not high. Once it is necessary to replace a gear with a different model and number of teeth, it is necessary to go through the process of testing and curve fitting again, which greatly reduces the production efficiency.

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