A contact analysis method and application of an arc tooth bevel gear based on tooth surface topology modification

By constructing a contact analysis method for spiral bevel gears based on tooth surface topology modification, the tooth surface contact point can be determined with only two nonlinear equations, solving the problem of complex and time-consuming calculations in existing methods and achieving efficient and accurate contact analysis.

CN116702417BActive Publication Date: 2026-07-24NORTHWESTERN POLYTECHNICAL UNIV
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Patent Information

Application Number
CN202310405321.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-04-16
Publication Date
2026-07-24
Estimated Expiration
2043-04-16

AI Technical Summary

Technical Problem

Existing methods for analyzing the tooth surface contact of spiral bevel gears are computationally complex, time-consuming, and prone to numerical instability, making it difficult to meet the design requirements for high precision and high efficiency.

Method used

A method based on tooth surface topology modification is adopted to construct two sets of meshing equations. By combining the meshing equations with the conjugate tooth surface equations of the pinion, a topology modification model is established. The instantaneous contact line is determined by rotational projection and inverse projection, and contact analysis is performed to simplify the calculation process.

Benefits of technology

It improves computational stability and efficiency, reduces computational time costs, enhances the accuracy and efficiency of spiral bevel gear design, and simplifies contact analysis methods.

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Abstract

The application relates to a contact analysis method and application of an arc tooth bevel gear based on tooth surface topology modification, and belongs to the technical field of gear transmission analysis. The method is as follows: based on basic geometric parameters and machine tool machining parameters of the arc tooth bevel gear, a meshing equation and a pinion conjugate tooth surface equation are constructed, and then a topology modification model is obtained; based on the meshing equation and the pinion conjugate tooth surface equation, an instantaneous contact line Gamma0 on the pinion conjugate tooth surface is established, and then through projection and inverse projection, an actual pinion tooth surface instantaneous contact line Gamma1 corresponding to the Gamma0 is obtained; the contact area boundary of the tooth surface is demarcated through the topology modification model, and the Gamma0 and the Gamma1 are contact-aligned through an angular positioning angle; distance judgment and contact analysis are carried out on the contact-aligned instantaneous contact line, and corresponding contact characteristics, namely a contact trace, a contact mark and a transmission error, are obtained. The method is helpful to improve the calculation stability of the contact analysis method, reduces the calculation time, and can improve the design efficiency and quality of the arc tooth bevel gear.
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