非对称弧线圆柱齿轮设计与啮合特性研究

发布时间：2018-07-10 18:55

本文选题：弧线齿圆柱齿轮 + 非对称设计　；参考：《长安大学》2017年硕士论文

【摘要】：弧线齿圆柱齿轮是近年来颇具发展潜力的一种新型齿线齿轮。弧线齿圆柱齿轮是一种点接触圆柱齿轮,其齿线为圆弧齿线,在其齿宽的中截面上保留了标准渐开线齿形,其他处为准渐开线。该齿轮与常见的圆柱齿轮相比具有很多优点,如弯曲和接触疲劳强度高、对安装和加工误差不敏感等等,作为一种高速重载齿轮,应用前景非常广阔,具有很重要的研究价值。另一方面,双压力角非对称齿轮在提高齿轮的承载能力上有独特优势。因此,本文在弧线齿圆柱齿轮基础上加入非对称设计,从加工原理、数学建模,到有限元应力计算等技术问题展开了深入的研究。介绍不同加工方法的原理,根据齿轮啮合原理和微分几何理论,建立了非对称弧线齿圆柱齿轮的数学模型。采用了三种不同的齿根圆角形状设计。实现了齿面数值仿真和齿面可视化。采用传统TCA和Ease-off TCA方法对非对称弧线齿圆柱齿轮副进行齿面接触分析。通过模拟仿真,证明了Ease-off TCA方法是正确可行的。建立了考虑安装误差的TCA模型,计算了非对称弧线齿圆柱齿轮在不同安装误差下的啮合轨迹及接触印痕。提出了非对称弧线齿圆柱齿轮的齿面修形技术,通过改变刀具的法向齿廓形状进行抛物线及高阶曲线修形。接触仿真结果表明,对非对称弧线齿圆柱齿轮齿面修形,可以改善齿轮副的啮合特性。利用有限元方法,对所设计齿轮进行了齿根弯曲应力和齿面接触应力计算。结果表明,非对称弧线齿圆柱齿轮的弯曲强度和接触强度均比对称弧线齿圆柱齿轮的有所提高。
[Abstract]:Arc-tooth cylindrical gear is a new type of tooth-line gear with great potential in recent years. Arc tooth cylindrical gear is a kind of point contact cylindrical gear, its tooth line is circular arc tooth line, the standard involute tooth shape is retained on the middle section of its tooth width, and other places are quasi-involute. Compared with common cylindrical gears, this gear has many advantages, such as high bending and contact fatigue strength, insensitive to installation and machining errors, and so on. As a kind of high speed and heavy load gear, it has a very broad application prospect and has very important research value. On the other hand, asymmetric gear with double pressure angle has a unique advantage in improving the bearing capacity of gear. Therefore, in this paper, asymmetrical design is added to the arc cylindrical gear, from machining principle, mathematical modeling, to finite element stress calculation and other technical problems are deeply studied. Based on the principle of gear meshing and differential geometry, the mathematical model of asymmetrical arc tooth cylindrical gear is established. Three kinds of tooth root fillet design are adopted. The numerical simulation of tooth surface and the visualization of tooth surface are realized. Traditional TCA and Ease-off TCA methods are used to analyze the tooth surface contact of asymmetric curved cylindrical gear pairs. The simulation results show that the Ease-off TCA method is correct and feasible. A TCA model considering installation error is established and the meshing track and contact mark of asymmetric arc gear are calculated under different installation errors. In this paper, the tooth surface modification technology of unsymmetrical arc tooth cylindrical gear is presented. The parabola and higher order curve are modified by changing the normal profile of the cutter. The contact simulation results show that the meshing characteristics of the gear pair can be improved by modifying the tooth surface of the asymmetrical arc tooth cylindrical gear. The tooth root bending stress and tooth surface contact stress are calculated by finite element method. The results show that the bending strength and contact strength of asymmetric arc tooth cylindrical gear are higher than that of symmetrical arc tooth cylindrical gear.
【学位授予单位】：长安大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TH132.41

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