| 基于差齿面拓扑的轮齿承载拟赫兹接触分析 |
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| 引用本文： | 魏冰阳,李家琦,王文胜.基于差齿面拓扑的轮齿承载拟赫兹接触分析[J].中国机械工程,2021,32(18):2174-2180. |
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| 作者姓名： | 魏冰阳 李家琦 王文胜 |
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| 作者单位： | 1.河南科技大学机电工程学院，洛阳，471003
2.河南科技大学工程力学系，洛阳，471023
3.大连理工大学工业装备结构分析国家重点实验室，大连，116023 |
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| 基金项目： | 国家自然科学基金 (51875174 )；
河南省自然科学基金(182300410225) |
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| 摘 要： | 基于齿条曲面多项式与齿轮公切共轭产形原理，建立了数值齿面、差齿面ease-off模型；通过ease-off曲面映射，解析了齿面接触路径、传动误差、接触线等轮齿啮合特性信息。利用势能法、变形协调方程与拟赫兹接触分析解决了齿面载荷计算、边缘接触应力求解问题，获得了轮齿啮合刚度、传动误差、齿间载荷分担、载荷分布、接触应力等齿面啮合的时变历程特性。计算结果与第三方软件的计算结果具有较好的一致性。
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| 关 键 词： | 拓扑修形 有限元 刚度 传动误差 轮齿接触分析 |
Quasi-Hertz Loaded Tooth Contact Analysis of Gears Based on Ease-off Surface Topology |
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| Affiliation: | 1.School of Mechanical & Electronic Engineering, Henan University of Science & Technology,Luoyang,Henan,471003
2.Department of Engineering Mechanics,Henan University of Science & Technology,Luoyang,Henan,471023
3.State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology,Dalian,Liaoning,116023 |
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| Abstract: | Numerical tooth surface and ease-off surface model of gears were established based on polynomial rack surfaces and theory of rack-gear common-tangential conjugate generating. By map of ease-off surface, characteristic information of tooth surface meshing, such as tooth surface contact path, transmission error, and contact line, was analyzed. Load calculation of tooth surfaces and contact stress of edge areas were solved by potential energy approach, deformation compatibility equation, and quasi-Hertz contact analysis. Time-varying history characteristics of tooth surfaces such as gear tooth meshing stiffness, transmission errors, load sharing between teeth, load distribution, contact stress and so on were obtained. Calculation results are in good agreement with third-party software. |
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| Keywords: | topology modification finite element stiffness transmission error tooth contact analysis of gears |
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