1.中南大学 高性能复杂制造国家重点实验室, 湖南 长沙 410083
杨主希(1995— ),男,湖南衡阳人,在读硕士研究生,主要从事齿轮传动设计研究。
唐进元(1962— ),男,湖南永州人,教授,博士生导师,研究方向为齿轮传动设计制造。
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杨主希,邬远航,唐进元.非正交修形斜齿面齿轮传动接触应力计算研究[J].机械传动,2020,44(02):16-21.
Yang Zhuxi Wu Yuanhang Tang Jinyuan.Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion[J].Journal of Mechanical Transmission,2020,44(02):16-21.
杨主希,邬远航,唐进元.非正交修形斜齿面齿轮传动接触应力计算研究[J].机械传动,2020,44(02):16-21. DOI: 10.16578/j.issn.1004.2539.2020.02.003.
Yang Zhuxi Wu Yuanhang Tang Jinyuan.Research of Calculation Method of Contact Stress of Non-orthogonal Modified Face-gear Drive with Helical Pinion[J].Journal of Mechanical Transmission,2020,44(02):16-21. DOI: 10.16578/j.issn.1004.2539.2020.02.003.
非正交修形斜齿面齿轮是一种具有普适性的交叉轴齿轮传动方式,目前还没有接触应力解析计算公式,只能依靠有限元软件进行接触应力计算。给出了其接触应力计算方法和相应的计算公式。首先,基于曲面啮合传动原理,推导了非正交修形斜齿面齿轮齿面方程;其次,建立含安装误差的接触分析坐标系,由齿面接触分析原理得到接触点及其曲率计算方程;最后,按赫兹接触理论推导出一般形式的接触应力解析计算公式,该接触应力计算公式可以计算正交与非正交、修形与非修形、直齿与斜齿等各种不同形式的面齿轮传动接触应力,通过编制程序快速计算出相应的接触应力。以某一设计参数的面齿轮副为例,应用提出的接触应力计算方法计算出接触应力,同时利用Abaqus有限元软件进行齿面接触应力计算,提取有限元计算的面齿轮齿面接触应力值,与解析计算公式的结果进行对比,两者误差为5.23%左右。对比结果表明,给出的非正交修形斜齿面齿轮齿面接触应力计算方法与计算公式正确可行。
Non-orthogonal modified face-gear drive is a kind of cross-shaft transmission mode with universal application. At present, there is no analytical formula for contact stress, only finite element software can be used to calculate the contact stress. The calculation method and formula of the contact stress are given in this study. Firstly, based on the principle of surface meshing transmission, the tooth surface equation of non-orthogonal modified face-gear drive with helical pinion is derived. Secondly, the contact analysis coordinate system with installation error is established, and the contact point and its curvature calculation equation are obtained by the tooth contact analysis (TCA) theory. Finally, the general form of the contact stress analytical formula is derived according to the Hertz contact theory. The contact stress calculation formula can calculate the contact stress of various types of face gears, such as orthogonal and non-orthogonal, modified and unmodified, spur and helical teeth, and quickly calculate the corresponding contact stress by programming. Taking a certain design parameter of the face-gear drive as an example, the contact stress calculation formula is used to calculate the contact stress, and the Abaqus finite element software is used to calculate the tooth surface contact stress of face gear, and then the tooth surface contact stress value of face gear is extracted in Abaqus. The results of analytical calculations are compared with the finite element, the error is about 5.23%. The results show that the calculation method of contact stress of helical face gear tooth surface is correct and feasible.
接触应力 斜齿面齿轮 修形 非正交
Contact stressHelical face gearModifiedNon-orthogonal
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