| 基于等距Ease-off曲面的轮齿啮合仿真分析 |
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| 引用本文： | 魏冰阳,杨建军,仝昂鑫,邓效忠.基于等距Ease-off曲面的轮齿啮合仿真分析[J].航空动力学报,2017,32(5):1259-1265. |
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| 作者姓名： | 魏冰阳 杨建军 仝昂鑫 邓效忠 |
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| 作者单位： | 1.河南科技大学 机电工程学院，河南 洛阳 471003 |
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| 基金项目： | 国家自然科学基金（51375144） |
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| 摘 要： | 提出了一种基于Ease-off曲面等距变换的轮齿啮合仿真分析方法. 利用曲面曲挠参数，给出了2阶密切曲面的定义及其拓扑方法；在2阶微分精度范围内，密切曲面与原曲面贴近，可以代替散曲面做几何解析. 利用空间坐标变换，建立了弧齿锥齿轮加工的啮合方程和通用产成模型. 基于啮合等距对应原理，求解齿面对应点的离差；利用最小二乘法，拓扑散曲面，构建Ease-off差齿面的2阶密切曲面. 基于Ease-off密切曲面参数，利用齿面接触的等距线、渐近方向，解析出齿面接触位形、接触路径、传动误差等啮合性能参数. 分析结果表明:一次性构建Ease-off的2阶密切曲面，能够获得轮齿完备的啮合信息，曲面拓扑精度可到达0.1μm；与现行的啮合仿真方法相比易于齿面反求、数值计算，啮合信息的获得也更为便捷.
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| 关 键 词： | 弧齿锥齿轮 密切曲面 等距对应 差齿面 轮齿接触分析（TCA） |
| 收稿时间： | 2015/9/9 0:00:00 |
Tooth meshing simulation and analysis based on isometric mapping Ease-off surface |
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| WEI Bing-yang,YANG Jian-jun,TONG Ang-xing,DENG Xiao-zhong.Tooth meshing simulation and analysis based on isometric mapping Ease-off surface[J].Journal of Aerospace Power,2017,32(5):1259-1265. |
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| Authors: | WEI Bing-yang YANG Jian-jun TONG Ang-xing DENG Xiao-zhong |
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| Abstract: | Based on the isometric transformation of Ease-off surface,a method for the meshing simulation analysis of gear tooth was put forward.By using the parameters of curvature and torsion of surface geometry,both the definition on the 2nd order osculating surface and its topologic method were presented.Within the extent of 2nd order differential precise,the osculating surface was close to the original curve surface,making it possible to carry out the geometric analysis instead of the original scattered curve surface.By using the ordinate system transformation,the derivation of meshing equation and the establishment of universal model on generating spiral bevel gears were done respectively.Based on isometric mapping between two tooth meshing surfaces,the solutions to mismatched size of the relative point at surfaces of tooth were made,then the osculating surface of the Ease-off of tooth surface was set-up by means of the topology of original scattered surface using the least square method.Depending on the parameters of the set-up Ease-off osculating surface,the solving methods were presented on behavior parameters of tooth surface meshing such as contact area,contact path and transmission errors by the introduction of the isoheight line and the asymptotic behavior of the tooth surface contact.The results of analysis show that it is able to obtain directly the tooth meshing perfect information of gears by means of one-off constructing Ease-off surface,and increase the topologic precision of curve surface up to 0.1 μm.This presented method is not only more suitable for the reverse engineering and the numerical computing relative to the conventional methods of meshing simulation,but also more convenient for gaining the information of tooth surface contact. |
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| Keywords: | spiral bevel gears osculating surface isometry mapping Ease-off of tooth flank tooth contact analysis(TCA) |
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