移动基圆变齿厚齿轮齿面研究及动力学仿真分析

发布时间：2018-02-01 06:03

本文关键词： 基圆变齿厚齿轮齿面研究齿面接触分析动力学仿真　出处：《重庆大学》2011年硕士论文　论文类型：学位论文

【摘要】：研究了一种新型的变齿厚齿轮——移动基圆变齿厚齿轮,它和传统的利用轴向变位形成的变齿厚齿轮在成型原理上有着本质的区别。因为,根据齿轮的基本原理,当一个齿轮有变位系数时,齿轮的齿顶高、齿根高、齿厚和槽宽都将发生变化,当沿齿轮的轴向添加一组有规律的变位系数时,齿轮在沿轴向各端面的齿厚有规律的变化,即形成了传统的变厚齿轮,而传统的变厚齿轮在齿厚变厚的同时,其各端面的齿顶高、齿根高也都随之变化,这就导致传统的变厚齿轮从小端到大端其齿顶圆直径逐渐增大,即沿径向看传统的变厚齿轮是有一个锥度的,这样在沿轴向调隙时就有可能产生干涉,不能完全调隙。而本文研究的移动基圆变齿厚齿轮就解决了这个问题,它的成型原理是:沿着齿轮的轴向,生成变厚齿轮各端面齿廓渐开线的基圆的位置有规律的变化,即:其基圆的圆心形成的直线与变厚齿轮的轴线并不重合,而是和轴线形成一定的夹角,这样变厚齿轮的齿厚就沿着中间端面向一边逐渐变厚或变薄。由于各端节面上变位系数为零或相同,所以在齿厚变厚的同时,其各端面的齿顶高、齿根高也相同,即各端面的齿顶圆直径相同,这样在调隙过程中就不会产生干涉,能达到完全调隙的目的。本文的研究内容如下: ①研究了移动基圆变齿厚齿轮的成型原理、几何特点,将其与传统的变齿厚齿轮相比较,体现了移动基圆变齿厚齿轮的优点;根据齿轮的基本原理,提出移动基圆变齿厚直齿轮的插齿、滚齿加工方法以及用标准齿条刀具的加工方法。 ②结合齿条刀具加工移动基圆变齿厚直齿轮的加工方法,根据齿轮啮合原理,由齿条刀具的齿面方程推导出移动基圆变齿厚直齿轮的齿面方程;并利用Matlab编程对移动基圆变齿厚直齿轮的齿面进行仿真,将得到的各点的坐标值导入Pro/E中,建立其精确的三维模型。 ③利用前面推导出的齿面方程,根据齿面接触分析的基本原理,建立移动基圆变齿厚直齿轮传动副接触的数学模型,用Matlab编程对其求解,得到其齿面上的接触点和接触迹线,实现了接触分析的可视化。 ④利用Adams软件,建立了该齿轮传动的动力学模型,对其进行动力学仿真分析,得到了其啮合力曲线,并将其与标准直齿轮传动产生齿侧间隙后的啮合力曲线相比较,体现了调隙的优越性。
[Abstract]:A new type of gear with variable tooth thickness is studied in this paper. It is different from the traditional gear formed by axial displacement in forming principle. According to the basic principle of the gear, when a gear has a modification coefficient, the tooth top height, tooth root height, tooth thickness and slot width of the gear will all change, when a set of regular modification coefficients are added along the axial direction of the gear. The tooth thickness of the gear along the axial direction changes regularly, that is to say, the traditional thickening gear is formed, and the tooth top height and the tooth root height of the traditional thickening gear change with the tooth thickening at the same time. This result in the traditional thickening gear from small end to large end of the tooth top circle diameter gradually increase, that is, along the radial point of view the traditional thickening gear has a taper, so it is possible to produce interference when adjusting the gap along the axial direction. This problem is solved by the moving base gear with varying tooth thickness. Its forming principle is: along the axial direction of the gear. The position of the base circle of the involute of the tooth profile of each end surface of the thickened gear changes regularly, that is, the straight line formed by the center of the base circle does not coincide with the axis of the thickened gear, but forms a certain angle with the axis. In this way, the tooth thickness of the thickened gear is gradually thickened or thinned along one side of the middle end face. The tooth top of each end face is at the same time as the tooth thickness is thickened because the modification coefficient on each end node is zero or the same. The tooth root height is the same, that is, the top circle diameter of each end face is the same, so there will be no interference in the clearance adjustment process, and the purpose of complete clearance adjustment can be achieved. The contents of this paper are as follows: The main contents are as follows: (1) the forming principle and geometric characteristics of moving base gear with variable tooth thickness are studied. Compared with the traditional gear with variable tooth thickness, the advantages of moving base circular gear with variable tooth thickness are demonstrated. According to the basic principle of gear, this paper puts forward the gear shafting, hobbing machining method and the machining method of standard rack cutter for moving base circular variable tooth thickness spur gear. 2. According to the gear meshing principle, the tooth surface equation of the moving base circular variable tooth thickness straight gear is derived from the tooth surface equation of the rack cutter in combination with the machining method of the moving base circular variable tooth thickness spur gear. The tooth surface of moving base circular variable tooth thickness spur gear is simulated by Matlab programming. The coordinate values of each point are imported into Pro/E and its accurate 3D model is established. According to the basic principle of tooth surface contact analysis, the mathematical model of the contact of gear transmission pair with circular tooth thickness is established by using the tooth surface equation derived before, and solved by Matlab program. The contact points and contact traces on the tooth surface are obtained and the contact analysis is visualized. (4) the dynamic model of the gear transmission is established by using Adams software, and its meshing force curve is obtained by dynamic simulation and analysis. Compared with the meshing force curve of the standard spur gear transmission after the tooth side clearance is produced, the superiority of the clearance adjustment is demonstrated.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

【引证文献】