用矢量矩阵法设计摆线齿轮滚刀的齿形

提出根据齿轮啮合原理用矢量矩阵法设计加工摆线齿轮的滚刀齿形，并分析了滚刀加工齿轮时的啮合界限点，用计算机计算出摆线齿轮滚刀的齿形曲线。     

多齿差摆线齿轮内转子齿廓圆弧拟合及误差

多齿差内啮合摆线齿轮泵，由于其结构简单、体积小、效率高，无“困油”现象等优点，目前已广泛应用于石油、化工等行业。该泵的关键部件为一对多齿差内啮合圆弧——短幅外摆线内等距曲线齿轮副。这种多齿差摆线齿轮齿形较为复杂，目前主要采用成形铣削的加工方法。若铣刀按理论齿廓设计，齿形加工的难度大，加工精度也难以保证。本文采用单圆弧拟会的方法，选择合理的拟合参数，可使摆线齿轮齿廓达到较高的拟合精度，从而使铣刀齿形的加工和修磨较为简便，保证了摆线齿轮的加工精度。一、多齿差摆线齿廓的圆弧拟合1．摆线齿廓方程内咽合摆…     

轴齿摆线滚刀齿形设计

<正> 轴齿摆线滚刀齿形是修正摆线齿轮滚刀齿形设计中难度较大的一种。这类滚刀齿形,过去都是采用计算作图法设计,近年来计算器和微机的普及应用,使采用计算法设计轴齿摆线滚刀齿形成为可能。按平面啮合原理,用计算法设计滚刀齿形分三个步骤进行。①确定合理的齿轮滚动圆半径Roδ;②计算滚刀法向理论齿廓;③设计计算滚刀齿形近似代用圆弧。国内外有些文献[Ⅰ][Ⅱ][Ⅲ]对①、②作了较多讨论,但对③却很少涉及。当前,应用计算器和微机设计摆线滚刀齿形,要有一套可供运算的     

仪表圆弧齿轮滚刀齿形的快速设计法

仪表圆弧齿轮俗称钟表齿轮或修正摆线齿轮,应用十分广泛。在大量生产中,国内外均已普遍采用滚刀展成滚切圆弧齿轮齿形。圆弧滚刀齿形比较复杂,过去一直采用十分费事的解析作图法进行设计。本文将介绍如何使用计算器快速、准确地设计圆弧滚刀齿形。     

次摆线滚轮齿条传动齿形综合研究

面向机器人移动系统对高精度、高速及大行程传动装置的需求,针对次摆线滚轮齿条传动的齿形理论及啮合特性进行了综合研究。首先,依据次摆线生成原理,综合考虑滚柱-次摆线齿啮合规律,建立了次摆线理论齿形方程、实际齿形方程及齿形曲率方程、曲率半径方程;其次,基于次摆线齿形曲率半径变化规律,结合滚柱与摆线齿啮合过程分析,推导出齿廓不根切条件、压力角及传动重合度计算公式;最后,给出算例,通过三维建模与啮合仿真,验证了前述理论推导的正确性。研究结果表明,采用次摆线齿形,合理选择结构参数,可有效解决摆线滚轮齿条传动的齿廓根切问题,增大传动重合度。     

摆线滚刀齿形模拟及其程序设计

摆线针轮减速机关键件摆线轮的齿形为短幅外摆线的等距曲线,加工较为困难,通常采用仿形铣、范成铣或用圆柱插齿刀借助于偏心刀杆插齿,而操作最方便、生产率又较高的方法是采用专用滚刀滚切加工。但专用滚刀的齿形加工复杂,且滚刀使用后不易修磨。本文系统地推导出摆线滚刀的法向齿形方程,并采用列主元高斯消去法将滚刀较复杂的齿形模拟为圆弧及直线等简单图形的组合,从而使滚刀齿形的加工和修磨更为简便、精确,且在被加工齿轮齿数较多时可以达到较高的模拟精度。     

用矢量矩阵法设计圆弧齿轮滚刀的齿形

根据齿轮啮合原理用矢量矩阵法设计加工双圆弧齿轮的滚刀齿形 ,并分析了滚刀齿形的计算截面 ,用计算机计算出双圆弧齿轮滚刀的齿形曲线。     

双圆弧齿轮滚刀齿形的精确设计计算

作者以部标JB2940-81所规定的基准齿形为双圆弧齿轮法面齿形，根据啮合原理，推导出双圆弧齿轮滚刀的齿面方程式，在此基础上利用C语言编程对双圆弧齿轮滚刀的齿形进行精确计算。     

滚子链链轮滚刀基准齿形参数──齿形角的优选

从链轮标准规定的齿形变动范围、滚刀告形角的变化对滚切链轮啮合传动性能的影响以及链轮齿顶厚度和滚刀齿根宽度对齿形角的限制等几方面对齿形角的优选问题进行了分析，并给出了优选结果。     

基于心形孔的Hy-Vo齿形链的啮合分析及其设计方法

基于Hy-Vo齿形链与链轮刚柔传动的啮合原理及其链轮滚刀与链轮的滚切原理,以Hy-Vo齿形链工作链板齿形视作滚刀法向齿形的设计理念,建立基于心形孔的Hy-Vo齿形链—链轮—刀具齿条的啮合设计体系;根据Hy-Vo齿形链链轮与刀具齿条的共轭啮合条件,提出当工作链板齿形角不等于渐开线齿形链轮压力角时的参数变换的啮合设计方法,并进行实例设计计算。通过171 h台架磨损试验,研究该新型Hy-Vo齿形链的耐磨特性,由于该新型Hy-Vo齿形链链板孔形状类似心形,组成异型销轴截面的各段圆弧均为外凸曲线,因而异型销轴与链板心形孔外侧曲线定位时,比圆形基准孔和长腰形基准孔更稳定,接触面积更大,该新型Hy-Vo齿形链具有较高的耐磨性,试验研究表明,这种新的啮合设计体系和设计方法是科学的,是切实可行的。     

运用AutoCAD的滚齿加工仿真

针对不同类璎滚刀的齿形特点,探讨了滚刀齿形的建模方法,并基于滚齿.加工原理实现了滚刀齿形包络线方程的推导.结合VB编程技术和AutoCAD二次开发技术对滚齿加工仿真程序进行设计和编制.通过一个应用实例介绍滚齿加工仿真程序的运行流程,并将仿真结果与意大利SU公司提供的齿形参数进行对比分析,验证了程序的正确性.     

用球形滚刀滚切内齿轮

分析了球形滚刀滚切内齿轮的切削机理，探讨了齿槽断面的求解方法，用此方法在个人计算机上能高效率地绘制齿形创成图。分析表明，滚刀安装位置不影响滚切渐开线齿形。通过绘制齿形创成图，还可掌握各刀齿的切削负荷以及切屑的形状、厚度和长度。     

微小型齿轮的微细滚削加工研究

用自行设计的微小型硬质合金齿轮滚刀进行了模数为0.175mm的微小型齿轮滚削加工研究.首先设计了相应模数的微小型齿轮滚刀,并详细阐述该刀具的设计过程,包括刀具材料的选择、结构形式的设计、齿形设计和刀具局部强度的校核等.简述了该滚刀的制造加工工艺,在微小型数控滚齿机上进行了微小型齿轮的滚削加工试验研究.结果表明,采用范成...     

滚齿时滚刀对中不会引起齿形歪斜

本文通过理论分析和计算证明了滚齿时滚刀不对中只引起齿廓棱边分布不对称,不会引起齿形歪斜,有利于对滚齿误差的分析和认识.     

变速箱齿轮剃前滚刀的齿形设计

剃前齿轮的留剃量形式直接影响剃齿效果及剃前刀具齿形。结合变速箱齿轮的剃前滚齿加工实践 ,设计了合理的留剃量形式及剃前滚刀齿形     

滚刀几何误差与齿轮几何精度的映射规律研究

高精度齿轮是高端装备满足高速、重载、冲击、低噪声(静音)等极端环境要求的必要支撑,为提高滚齿加工精度,实现部分“以滚带磨”,降低加工成本,针对滚刀几何误差与齿轮几何精度之间的定量映射规律研究不足,分别开展考虑机床运动精度的滚刀齿廓误差、滚刀螺旋线误差、滚刀安装角径向圆跳动误差与齿轮齿廓误差、基节误差之间的定量映射规律研究。通过产形齿条法,由渐开线滚刀齿廓方程包络生成齿轮齿廓方程。依据微分几何、包络原理,建立滚刀齿廓误差与齿轮齿廓误差之间的定量映射关系模型;建立滚刀螺旋线误差、滚刀安装角径向圆跳动误差与齿轮齿廓误差之间的定量映射规律模型。并根据齿轮齿廓误差与齿轮基节误差间的几何关系,计算得到上述因素对基节误差的映射规律。依据高斯分布规律,建立在考虑机床运动误差影响下,上述三种主要的滚刀误差对齿轮齿廓误差、齿轮基节误差的综合影响规律模型。最终通过仿真,并与实际加工经验进行对比,验证上述模型方法的正确性。从而揭示出滚齿加工过程中考虑机床运动误差的滚刀误差与影响齿轮主要几何精度的齿廓误差、基节误差的本质规律。为滚切更高精度的齿轮副打下理论基础。     

A 3D chip geometry driven predictive method for heat-loading performance of hob tooth in high-speed dry hobbing

High-speed dry hobbing is an emerging green technique for gear hobbing owing to its high productivity and environmental friendliness. However, severe friction occurs and heat instantaneously accumulates in the cutting region due to the adoption of high cutting speed and the lack of metalworking fluids, which causes serious hob wear. This investigation is concerned with the thermal performance and heat-loading quantitative method of hob cutter in high-speed dry hobbing. According to the multiple-edge and intermittent cutting behavior, the temporal dynamic characteristics of hob cutter are analyzed. Based on the complex 3D chip geometry produced in high-speed dry hobbing, the calculation method for heat-production (the amount of generated cutting heat) of hob tooth is proposed. Considering the coupling effects of heat conduction, heat convection, and heat radiation, the prediction model for heat-loading quantity (the bearing capacity of cutting heat) of hob tooth is developed. With the help of the developed method, the interrelation between the thermal performance of hob cutter and material removal volume, cutting conditions, coating material, respectively, are investigated. The predictive method developed in this work provides a methodology for process parameter optimization and hob cutter manufacturing of high-speed dry hobbing.     

标准滚刀滚切变位直齿轮的刀架角计算

针对变位直齿轮滚切加工中的刀架角调整问题,建立了齿轮滚刀滚切变位直齿轮的模型,用Matlab编程计算了刀架角对工件齿轮齿形及分度圆齿厚的影响。计算结果表明,刀架角对工件齿轮齿形的影响很小,但对工件齿轮分度圆齿厚的影响很大。同时,用本文中的方法可求得理想的刀架角,使变位直齿轮的加工误差为最小。     

CNC FLEXIBLE GENERATING SPECIFIC GEAR TOOTH PROFILE BASED ON STANDARD INVOLUTE GEAR HOB

A new method named orthogonal two-way link-shift here has been proposed. Based on the method and a standard involute gear hob, a specific gear tooth profile (including an arbitrary gear tooth profile and a modified involute gear tooth profile) can be generated on a CNC(computer numerical control) hobbing machine. Computer simulation has been carried out, and the results prove that the method is right and practicable. So, the fabrication costs can be greatly decreased than before. The new method has momentous significance to realize gear's optimized modification under different work condition!:     

An investigation of cutting edge failure due to chip crush in carbide dry hobbing using the finite element method

The aim of this research is to investigate a type of failure of dry carbide hobbing that occurs when the generated chips are pinched and crushed between the hob cutting edge and the work gear tooth flank by utilizing the finite element method. This problem is of great importance because gear hobbing is extensively used in the manufacturing industry. Many machine tool manufacturers have so far developed dry hobbing techniques using carbide hobs as there is a growing acknowledgment that it is necessary to employ carbide hobbing for higher productivity and pollution free gear cutting. To meet the increasing needs of cost reduction and environmentally friendly methods, dry hobbing being employed for gear mass production has completely eliminated the need of tool cooling. However, carbide hobbing has not come into wide use due to the high cost of carbide hobs, and mainly due to the unexpected chipping of the brittle carbide material, making it difficult to control the tool service life. Dry hobbing often causes problems such as chipping of the carbide hob tooth and/or damage of the surface finishing when the generated chips are pinched and crushed between the hob cutting edge and the work gear tooth flank. A manufacturing case of helical gears is taken as a case study, and it was simulated using a coupled thermomechanical rigid viscoplastic FEM analysis. Simulations have successfully identified a chip crush between four adjacent generating positions and thus, a definite mechanism that cause chip crush is revealed. Furthermore, valuable insights during chip formation, i.e., stress, strain, strain rate, temperature gradients, etc., are also provided.