裂纹直齿轮啮合刚度评估方法、系统及存储介质和终端设备

By establishing accurate tooth root transition curves and involute tooth profile equations, and combining Hertzian contact theory and the finite element method, the problem of inaccurate evaluation of meshing stiffness in cracked spur gears with a large number of teeth was solved, enabling more accurate evaluation and fault diagnosis of complex gear systems.

CN115510575BActive Publication Date: 2026-07-17NAVAL AVIATION UNIV OF THE PEOPLES LIBERATION ARMY QINGDAO CAMPUS

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
NAVAL AVIATION UNIV OF THE PEOPLES LIBERATION ARMY QINGDAO CAMPUS
Filing Date
2022-09-22
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

In the existing technology, the time-varying meshing stiffness assessment method is not accurate enough for cracked spur gears with a large number of teeth, resulting in inaccurate assessment results, especially for the meshing stiffness assessment of cracked spur gears with a large number of teeth.

Method used

By establishing accurate equations for the tooth root transition curve, the involute tooth profile starting circle radius, and the base circle radius, and combining Hertzian contact theory and the finite element method, the degree of reduction in the effective tooth thickness caused by cracks is calculated. The effective tooth thickness reduction line is determined according to different cases, and the bending stiffness, shear stiffness, and axial compressive stiffness are derived. The time-varying meshing stiffness of cracked spur gears is comprehensively evaluated.

Benefits of technology

It improves the accuracy of evaluating the meshing stiffness of cracked spur gears with a large number of teeth, provides a technical means for condition monitoring and fault diagnosis of complex mechanical gear transmission systems, and has good prospects for engineering applications.

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Abstract

本发明公开了裂纹直齿轮啮合刚度评估方法、系统及存储介质和终端设备,通过建立准确的齿根过渡曲线方程、渐开线齿廓起始圆半径方程、齿根圆半径方程、基圆半径方程,并利用赫兹接触理论确定赫兹接触刚度,同时计算齿基刚度;结合应力分布梯度和有限元法拟合裂纹对轮齿有效齿厚的削减程度,确定裂纹轮齿的有效齿厚;根据得到的有效齿厚确定有效齿厚的截面惯性矩和有效齿厚的截面面积,进而推导啮合过程中的弯曲刚度、剪切刚度和轴向压缩刚度;根据得到的各种刚度,综合评估大齿数裂纹齿轮时变啮合刚度。本发明提出的评估方法计算效率高、结果准确,特别是针对深度较大的裂纹其优势更为明显,对齿轮故障机理研究和齿轮系统故障诊断具有重要意义。
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