A gear pitting cluster distribution parameterization modeling method based on simple harmonic function

CN121167924BActive Publication Date: 2026-10-16HUNAN INSTITUTE OF SCIENCE AND TECHNOLOGY
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Patent Information

Application Number
CN202511264898.8
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2025-09-05
Publication Date
2026-10-16
Estimated Expiration
2045-09-05

AI Technical Summary

Technical Problem

而且对齿轮点蚀故障的研究，主要集中在单个轮齿产生故障，对多个轮齿同时产生故障的研究尚且不足，这样对于实际齿轮点蚀集群分布的准确性是非常不利的

Benefits of technology

[0064] This invention proposes a parameterized modeling method for gear pitting cluster distribution based on harmonic functions. Through a systematic analysis of the initiation mechanism, expansion law, and meshing process of involute cylindrical spur gears, the evolution characteristics of pitting defects on the tooth surface are clearly revealed. Specifically, pitting clusters form near the pitch line and exhibit a normally decreasing distribution trend towards both sides of the tooth height. Simultaneously, it clarifies that the overlap ratio is... For a cylindrical spur gear in a given interval, completing a full meshing cycle requires the participation of three pairs of teeth, undergoing a dynamic cyclic process of double-tooth engagement, single-tooth engagement, and double-tooth disengagement. Based on this research, a simple harmonic function is innovatively introduced to simulate the expansion and distribution of pitting corrosion pits, successfully constructing a parameterized modeling method for the normal distribution morphology of spur gear pitting corrosion based on the simple harmonic function. This method possesses unique advantages; through precise control of the standard deviation parameter, it can achieve controllable reconstruction of the pitting corrosion density gradient distribution. Compared to traditional pitting corrosion models, this method has clear and explicit physical meaning, higher computational efficiency, and a high degree of consistency with the actual evolution of pitting corrosion pits. The modeling process of this invention is relatively simple, easy to understand and operate, effectively reducing the difficulty and complexity of modeling. Simultaneously, this model can comprehensively and accurately reflect the evolution of pitting corrosion pit density, avoiding the neglect of the cluster characteristics of pitting corrosion pits.

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Abstract

The application discloses a spur gear pitting cluster distribution parameterization modeling method based on a simple harmonic function, which is suitable for simulating the expansion of gear surface pitting and the distribution law on the gear surface. The method introduces a simple harmonic function to simulate the expansion and distribution law of the pitting pit, and constructs a spur gear pitting normal distribution topography parameterization modeling method based on the simple harmonic function. Through accurate control of the standard deviation parameter, the controllable reconstruction of the pitting density gradient distribution is realized. Compared with the traditional pitting model, the method has clear physical meaning, high calculation efficiency, and is highly consistent with the evolution law of the actual pitting pit. The method not only makes up for the deficiency that the previous pitting model does not consider the pitting pit cluster characteristics, but also can accurately fit the actual pitting distribution law by flexibly adjusting the amplitude, frequency and other parameters, so as to realize the evolution trend that the pitting continuously expands to the tooth width and tooth height direction with the deepening of the pitting degree, and can complete parameterization modeling for gears with different parameters.
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