航空锥齿轮加载齿面接触分析的半解析计算方法
Semi-analytical calculation for loaded tooth contact analysis of aerospace spiral bevel gears
摘要
Abstract
The traditional simulated loaded tooth contact analysis(SLTCA)based on commercial software has high accuracy,but it takes a long time.Therefore,a semi-analytical calculation method for loaded tooth contact analysis(LTCA)considering both accuracy and efficiency was proposed.By extending the tooth surface modeling to the finite element modeling,the accurate local boundary conditions were solved by taking the loaded contact point as the object.Considering the accuracy and efficiency of the calculation,the local Rayleigh-Ritz method was used to calculate the meshing stiffness semi-analytically.Considering the influence of time-varying meshing characteristics,the linear programming method was used to solve the LTCA semi-analytically.Finally,taking the non-orthogonal spiral bevel gear as an example,the accuracy and reliability of the proposed method were verified.The results show that the relative error between the calculation results of the tooth surface contact pressure of the proposed method and the SLTCA results is within 3％,which has high solution accuracy.This can provide an effective technical reference for the manufacturing of spiral bevel gears with high precision and high performance requirements.关键词
弧齿锥齿轮/加载齿面接触分析/半解析/有限元建模/接触柔性Key words
spiral bevel gears/loaded tooth contact analysis(LTCA)/semi-analytical/finite element modeling/contact compliance分类
机械工程引用本文复制引用
尹凤,杜文龙,丁撼,邓雄耀,王智泉,容铠彬,唐进元..航空锥齿轮加载齿面接触分析的半解析计算方法[J].中南大学学报（自然科学版）,2025,56(4):1331-1342,12.基金项目
国家自然科学基金青年基金资助项目(52205507) （52205507）
中国航发集团创新专项基金资助项目(KY-1003-2022-0014) （KY-1003-2022-0014）
国家航空发动机及燃气轮机重大专项(2019-Ⅶ-0017-0158) （2019-Ⅶ-0017-0158）
中国航发湖南动力机械研究所产学研合作基金资助项目(KY-1044-2024-0149) （KY-1044-2024-0149）
陆军装备部预研项目(KY-1044-2023-0442)(Project(52205507)supported by the Youth Program of the National Natural Science Foundation of China （KY-1044-2023-0442）
Proj ect(KY-1003-2022-0014)supported by China Aviation Development Group Innovation Fund （KY-1003-2022-0014）
Project(2019-Ⅶ-0017-0158)supported by the National Aeroengine and Gas Turbine Major Program （2019-Ⅶ-0017-0158）
Project(KY-1044-2024-0149)supported by the AVIC Hunan Power Mechanical Research Institute Industry-University-Research Cooperation Fund （KY-1044-2024-0149）
Project(KY-1044-2023-0442)supported by the Pre-research Project of Army Equipment Department) （KY-1044-2023-0442）
