【作者】 张志强；

【导师】 陈小安；

【作者基本信息】 重庆大学 ， 机械设计及理论， 2011， 硕士

【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。更多还原

【Abstract】 Studied a new type of involute beveloid gear which was formed base on the movement of base circle.It has essential differences with the traditional involute beveloid gear in establishment principle.According to the basic principles of gear,when a gear with modification coefficient ,the tooth addendum, tooth dedendum, tooth thickness and space width of the gear will change.If it have a cluster of regular modification coefficients along the axialdirection of the gear,the thickness of tooth will change with regular,this constitute the traditional involute beveloid gear.However, with the changing of tooth thickness,the tooth addendum and tooth dedendum will change,then it lead to the tip diameter of involute beveloid gear will be stepup from the small end face to big end face,then the involute beveloid gear will be a conicity. So,it will have interference when regulating the backlash.But this new type of involute beveloid gear which was formed base on the movement of base circle could solve this problem.The basic establishment principle of this new type involute beveloid gear is that the base circle move ragularly along the axialdirection of the gear.So,the line formed by centers of base circles is misalign with axialdirection of the gear.Then the tooth thickness of involute beveloid gear is gradually getting thickening or thinning from the middle head face to another side.Because there is no modification coefficient, the tooth addendum and tooth dedendum will be same,then it will have interference when regulating the backlash,it could regulate the gap complete.The researchs in this paper are shown in the following:①Studied the establishment principle and characteristic of this new type involute beveloid gear,compared with the traditional involute beveloid gear,this reflect the advantage of the involute beveloid gear formed base on the movement of base circle. According to the basic principles of gear,studied the methods to manufacture this new type involute beveloid gear.②According to the processing method by using the cutter of basic rack and the space Meshing Engagement Principles, the tooth surface equations of this new involute beveloid gear were derived by the cutter’s for the fist time.The complete and precise tooth surface of this new involute beveloid gear was generated by using Matlab.The precise solid model of this involute beveloid gear was estaldished in Pro/E by three-dimensional coordinates of points on the generated tooth surfaces. ③According to the tooth surface equations of this new involute beveloid gear and the principles of TCA,established the mathematical model of this new gear pair. Using Matlab decribe the contact points and lines of contact on the tooth surface,it achieved visualization of the contact analysis.④Using ADAMS establish the dynamic model of this new gear pair.And then doing the dynamic emulation and analysis, acquired the curve about the force of engagement. Contrast with the force of engagement about standard spur gear which has backlash. This demonstrate the adjusting of this new type involute beveloid gear could effectively improve the meshing characteristic of spur gear.更多还原