Influence of manufacturing errors on the dynamic characteristics of planetary gear systems

A dynamic analysis using a hybrid finite element method was performed to characterize the effects of a number of manufacturing errors on bearing forces and critical tooth stress in the elements of a planetary gear system. Some tolerance control guidelines for managing bearing forces and critical stress are deduced from the results. The carrier indexing error for the planet assembly and planet runout error are the most critical factors in reducing the planet bearing force and maximizing load sharing, as well as in reducing the critical stress.     

内齿行星齿轮传动啮合效率的分析

本文采用Крейнес方法推导出内齿行星齿轮传动的啮合效率公式，分析了影响啮合效率的因素，给出了这种传动形式用于增速时的自锁条件，得到了一些具有实际意义的结论。     

非圆行星轮系的等距条件探讨

把外啮合非圆齿轮传动的瞬心线封闭条件推广应用到内啮合非圆齿轮传动的瞬心线封闭条件,并进而研究了非圆行星轮系的同心条件。与现有的非圆行星传动相比,这里的非圆行星系的非圆行星齿轮同时满足同心条件和等距条件,故可同时与内外非圆中心轮啮合,而不须采用双连非圆齿轮。     

Influence of bearing stiffness on the static properties of a planetary gear system with manufacturing errors

Hybrid finite element analysis was used to analyze the influence of bearing stiffness on the static properties of a planetary gear system with manufacturing errors. The effects of changes in stiffness were similar for most of the manufacturing errors. State variables were most affected by the stiffness of the planet bearings. Floating either the sun or carrier helps to equal load sharing and minimizes the critical tooth stress. The effects of a floating sun and carrier are similar, but it is not recommended that both float, because this can induce greater critical tooth stress. Planet bearing stiffness should be optimized. Both load sharing and critical tooth stress should be considered to determine optimal bearing stiffness.     

制造误差对超越离合器滚柱失效的影响

研究滚柱超越离合器在最大转矩2500Nm工况下以及隔离环槽口侧面与轴线的平行度误差、内环凸轮上的滚柱工作面与轴线的平行度误差存在的情况下，滚柱的接触应力偏载分布状况（即端部应力集中）。通过分析不同误差条件对滚柱偏载的影响，为超越离合器的制造以及装配过程中控制误差提供重要的数值依据。     

直齿锥齿轮齿形误差分析

直齿锥齿轮的齿形误差就是在齿形展开角范围内的基圆弧长最大误差,也就是渐开线上曲率半径误差,可据此得出齿形误差修正量的定量计算公式。     

基于有限元法的行星传动不均载系数计算

建立了2K-H行星齿轮传动系统的有限元分析模型,并在模型中引入行星轮位置误差。运用有限元接触分析理论,通过有限元分析软件ANSYS计算分析了在一定载荷和不同行星轮位置误差下的行星轮齿的接触应力,进而得出2K-H行星齿轮传动系统的载荷不均系数。为行星传动系统的不均载系数计算提供了一种新的方法,并为进一步研究行星传动系统的均载规律提供参考。     

圆弧针齿行星传动动力学的计算机仿真

本文建立了双内啮合圆弧针齿少齿差行星传动动力学仿真的数学模型，设计了仿真算法，在微机上完成了对该传动装置的瞬时输出扭矩及瞬时传动效率的模型试验。研究结果表明本文所采用的方法简便有效，结果可靠。为行星传动的计算机辅助设计（ＣＡＤ）提供了一种新方法。     

摆线齿锥齿轮加工中相关检验新方法

摆线齿锥齿轮可通过硬齿面刮削消除热处理变形,具有加工效率高、模数大、齿面硬的特点,所以非常适用于大型煤矿、冶金、运输等重型机械设备,针对大型摆线齿锥齿轮的生产实际提出并阐述了以更加直观和准确的实体建模方式对可能发生的刀盘干涉、齿面刮伤、槽底留埂、小齿轮根切或齿顶变尖进行检验.     

三齿轮联动双曲柄四环板式针摆行星传动的动力学研究

在Pro/E软件系统下建立完整的三齿轮联动双曲柄四环板式针摆行星减速器虚拟装配实体模型,并基于ADAMS软件环境,对模型进行虚拟样机试验验证;建立了准确的动力学分析模型;完成了几种工况条件下虚拟样机的仿真计算;并结合样机工作性能与动力学测试,完成虚拟模型的实验室验证。     

Effects of variable loading conditions on the dynamic behaviour of planetary gear with power recirculation

Variable loads to which gearboxes are subjected are considered as one of the main sources of non-stationarity in these transmissions. In order to characterise their dynamic behaviour in such conditions, a torsional lumped parameter model of a planetary gear with power recirculation was developed. The model included time varying loading conditions and took into account the non-linearity of contact between teeth. The meshing stiffness functions were modelled using Finite Element Method and Hertzian contact theory in these conditions. Series of numerical simulations was conducted in stationary conditions, with different loading conditions. Equation of motion was solved using Newmark algorithm. Numerical results agreed with experimental results obtained from a planetary gear test bench. This test bench is composed of two similar planetary gears called test planetary gear set and reaction planetary gear set which are mounted back-to-back so that the power recirculates through the transmission. The external load was applied through an arm attached to the free reaction ring. Data Acquisition System acquired signals from accelerometers mounted on the rings and tachometer which measured instantaneous angular velocity of the carrier’s shaft. The signal processing was achieved using LMS Test.Lab software. Modulation sidebands were obtained from the ring acceleration measurements as well as a non-linear behaviour in case of variable loading resulted by a transfer of the spectral density from the fundamental mesh stiffness to its second harmonic.     

同步带轮偏心对同步带回转运动误差影响的研究

分析了由于同步带轮的偏心引起的同步带回转运动误差与结构参数之间的关系 ,并通过算例说明误差随有关参数的变化趋势。     

三环式行星传动的受力分析

从力学基本原理出发,提出了该类传动的受力分析模型及方法,详细分析了三环传动的受力情况,得出了一些重要结论。本文的方法对研究其他类型的并联机构也具有参考价值。     

Pinion tooth surface generation strategy of spiral bevel gears

Aviation spiral bevel gears are often generated by spiral generated modified(SGM) roll method.In this style,pinion tooth surface modified generation strategy has an important influence on the meshing and contact performances.For the optimal contact pattern and transmission error function,local synthesis is applied to obtain the machine-tool settings of pinion.For digitized machine,four tooth surface generation styles of pinion are proposed.For every style,tooth contact analysis(TCA) is applied to obtain contact pattern and transmission error function.For the difference between TCA transmission error function and design objective curve,the degree of symmetry and agreement are defined and the corresponding sub-objective functions are established.Linear weighted combination method is applied to get an equivalent objective function to evaluate the shape of transmission error function.The computer programs for the process above are developed to analyze the meshing performances of the four pinion tooth surface generation styles for a pair of aviation spiral bevel gears with 38/43 teeth numbers.The four analytical results are compared with each other and show that the incomplete modified roll is optimal for this gear pair.This study is an expansion to generation strategy of spiral bevel gears,and offers new alternatives to computer numerical control(CNC) manufacture of spiral bevel gears.     

基节误差作用下少齿差行星齿轮轮齿载荷分析

少齿差行星齿轮副受载时,轮齿的弹性变形可能会消除啮合线周围齿廓面间的间隙,形成多对齿接触共同承载的情况.而基节误差使啮合情况变得复杂,故建立考虑基节误差的载荷分配数学模型是一项十分重要的工作.基节误差具有随机性,引入蒙特卡罗(MC)方法定量地研究其对少齿差齿轮副承载能力的影响,并给出了具体算法.计算结果表明:基节误差使得少齿差行星齿轮副的实际承载能力较预期的低.     

弧面凸轮两旋转坐标联动数控加工中心距误差对廓面误差的影响

以具体实例分析和计算了采用专用数控机床加工弧面凸轮时 ,中心距误差 Δ a对凸轮廓面法向误差的影响规律 ,对凸轮廓面修形以及机构预紧提供理论依据     

Influence of tooth modifications on tooth contact in face-hobbed spiral bevel gears

In this study the influence of tooth modifications induced by machine tool setting and head-cutter profile variations on tooth contact characteristics in face-hobbed spiral bevel gears is investigated. The concept of face-hobbed spiral bevel gear generation by an imaginary generating crown gear is applied. The modifications of tooth surfaces are introduced into the teeth of both members. The lengthwise crowning of teeth is achieved by applying a slightly bigger radius of lengthwise tooth flank curvature of the crown gear generating the concave side of pinion/gear tooth-surfaces, and by the variation of machine tool settings in the generation of pinion/gear teeth. The ease-off in the tooth height direction of meshing tooth surfaces is achieved by applying a head-cutter whose profile consists of two circular arcs, instead of a straight-line. The method of tooth contact analysis applied determines the path of contact, the potential contact lines, the separations along these lines, and the transmission errors. A computer program implements the method. By using this program the influence of the variation of machine tool settings and of head-cutter geometry on tooth contact is investigated and discussed.     

数控磨齿机加工准双曲面齿轮

分析现阶段我国准双曲面齿轮的磨齿工艺存在的问题,提出在PHOENIX系列数控磨齿机上对准双曲面齿轮进行磨齿的工艺参数计算方法.加工试验表明,采用该种方法计算的参数,适合我国汽车驱动桥准双曲面齿轮的磨齿加工,并能保证高质量、大批量的生产要求.     

工艺系统动态误差分析

对工艺系统在切削过程中因受力方向变化引起的加工误差及离心力引起的加工误差进行对比分析,提出不同的观点,有利于产品加工质量的分析与控制.     

基于ANSYS的双圆弧齿轮弯曲应力有限元分析

利用ANSYS的参数化设计语言(APDL)建立双圆弧齿轮的三维实体，形成相应有限元模型，对轮齿弯曲应力进行了分析。总结了名义压力角和齿形工艺角对轮齿弯曲应力的影响规律，并得出跑合前最大弯曲应力发生在齿腰处的结论，为双圆弧齿轮的设计和使用提供理论依据。