球面渐开线斜齿锥齿轮切齿法研究

发布时间：2018-05-04 18:00

本文选题：球面渐开线 + 锥齿轮　；参考：《吉林大学》2011年硕士论文

【摘要】：本论文分析现有螺旋锥齿轮齿面形成原理,根据美国格里森公司锥齿轮机床设计原理来分析其两代锥齿轮切齿机床的传动结构。通过对延伸外摆线齿锥齿轮的分析,研究奥利康螺旋锥齿轮及其切齿方法。从锥齿轮齿面设计原理上分析得出现有的螺旋锥齿轮齿面啮合存在理论误差,格里森锥齿轮及奥利康锥齿轮的啮合面都是近似共轭曲面,现有许多关于锥齿轮的著作中不乏一阶、二阶共轭曲面的函数推导,其目的是得到偏差尽可能小的共轭曲面。由于原理上是根据近似齿形设计的,其传动误差无法消除。并且齿面函数关系式表述复杂,实际切齿实现困难。球面渐开线齿形的锥齿轮齿面即为不同半径球面渐开线所组成的渐开螺旋锥面,拥有球面渐开线齿形的锥齿轮齿面在啮合传动时瞬时传动比恒定,且共轭曲面接触方式为线接触。本论文以锥齿轮中的斜齿作为设计对象,即在与基圆锥作纯滚动的圆平面Q中的一条斜直线为齿轮齿线,故由斜直线展成的空间轨迹为一直纹螺旋曲面。根据节圆锥和压力角可以确定一对交角为90度的锥齿轮副的基圆锥,空间中与两个基圆锥都相切的圆平面Q分别绕两基圆锥作纯滚动,圆平面Q上的一条斜直线所扫过的轨迹即为两共轭的渐开螺旋锥面,该斜直线由齿轮螺旋角大小及齿宽长度确定。用软件Matlab验证球面渐开线斜齿锥齿轮啮合的正确性,并在Catia中进行齿轮建模,通过正确的装配关系验证两共轭曲面在其啮合面内的接触方式为线接触。并对轮齿齿面所受作用力进行推导。本论文结合产形线切齿法的特点,将其运用于球面渐开线斜齿锥齿轮的切削加工中,用盘铣刀作为切削刀具。根据渐开螺旋锥面的展成特点提出不同的切齿运动方案,以锥齿轮工件和盘铣刀的四轴联动实现轮齿的切削。通过运动合成原理,推导产形线在刀刃改变旋转中心后右旋和左旋斜直齿锥齿轮右侧齿面和左侧齿面的运动方程。根据切削运动的需要,本论文详细介绍切齿机床的各个结构件及其传动关系,并定义机床的固定坐标系及相对坐标系,并在计算机上用Catia进行机床的建模。给出单侧齿轮加工过程,推导所需调整机床各轴参数。在软件Catia中对切齿过程所需各轴及盘铣刀进行建模,并用软件MSCSimdesigner R2 for CATIA V5R17将装配好的模型导入仿真软件Adams中,在Adams中根据推导出的运动公式定义各轴的驱动,通过盘铣刀及锥齿轮工件的仿真运动切削出渐开螺旋锥面。本论文中所论证的球面渐开线斜齿锥齿轮的核心方法、机床及加工技术已申报国家发明专利：《螺旋锥齿轮切齿机床与切齿方法》,申请号：200910217972.5。国家知识产权局的第一次审查意见已通过包括主权利要求等六条权利要求。由于机床制造时间所限,本论文中所设计的螺旋锥齿轮切齿机床正在装配中,并准备在机床装配调试结束后进行切齿实验。
[Abstract]:This paper analyzes the forming principle of the spiral bevel gear tooth surface, analyzes the transmission structure of the two generation bevel gear cutting machine based on the design principle of the Gleason Corp bevel gear machine. Through the analysis of the extended Cycloid Bevel gear, the olicam spiral bevel gear and its tooth cutting method are studied. The design principle of the bevel gear tooth surface is analyzed. There are theoretical errors in the tooth surface meshing of spiral bevel gears, and the meshing surfaces of Gleason bevel gear and olcone cone gear are almost conjugate surfaces. There are many existing books about bevel gears, and the function derivation of the two order conjugate surfaces is to obtain a conjugate surface with as little deviation as possible. The transmission error can not be eliminated in the design of approximate tooth profile, and the expression of tooth surface function relation is complex, and the actual tooth cutting is difficult to realize.
The surface of a spherical involute tooth shaped bevel gear is an involute involute conical surface composed of different radius spherical involutes. The surface of the bevel gear with a spherical involute tooth profile is constant while the contact mode of the conjugate surface is line contact. In this paper, the skew teeth in the bevel gear are used as the design object, that is, the conical cone. An oblique line in the pure rolling circular plane Q is a gear tooth line, so the space trajectory developed by the oblique line is a spiral curved surface. According to the conus and pressure angle, a pair of cones of a pair of conical gear pairs with 90 degrees of intersection can be determined. The circular plane Q that is tangent to the cones in the space is pure rolling, Yuan Ping, respectively. The trajectory swept by an oblique line on the surface Q is a two conjugate involute spiral cone. The oblique line is determined by the size of the helical angle of the gear and the length of the tooth width. The correctness of the meshing of the spherical involute bevel gear is verified by software Matlab, and the gear modeling is carried out in Catia, and the correct assembly relations verify that the two conjugate surface is meshed in its meshing. The contact mode in the joint is linear contact, and the force acting on the tooth surface of the gear tooth is deduced.
In this paper, combined with the characteristics of the shape cutting tooth method, the disc milling cutter is used as cutting tool in the machining of spherical involute helical bevel gear. According to the characteristics of the involute spiral cone surface, the different gear cutting motion scheme is proposed. The cutting of the gear teeth is realized by the four axis linkage of the bevel gear workpiece and the disc milling cutter. The equations of motion for the right side and the left side of the right and left skew straight bevel gears are derived.
According to the needs of cutting motion, this paper introduces the structure and transmission relationship of the gear cutting machine in detail, and defines the fixed coordinate system and the relative coordinate system of the machine tool. The machine tool is modeled with Catia on the computer. The processing process of the single side gear is given, and the parameters of each axis of the machine need to be adjusted.
In software Catia, each axle and disc cutter needed for the cutting process is modeled, and the software MSCSimdesigner R2 for CATIA V5R17 is used to import the assembled model into the simulation software Adams, and the drive of each axis is defined in Adams according to the derived motion formula, and the involute spiral cone is cut through the simulation motion of the disc milling cutter and the cone gear wheel. Noodles.
The core method of the spherical involute helical bevel gear in this paper, the machine tool and the processing technology have declared the national invention patent: < spiral bevel gear cutting machine and the tooth cutting method >, the application number: the first review of the 200910217972.5. State Intellectual Property Office has included six rights requirements including the main rights requirements.
Because of the limit of machine tool manufacturing time, the spiral bevel gear cutting machine designed in this paper is in the assembly, and is ready to carry out the tooth cutting experiment after the end of the machine tool assembly and debugging.

【学位授予单位】：吉林大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

【引证文献】