平面二次包络环面蜗杆副的修形及实验研究

根据平面二次包络环面蜗杆副空间啮合原理,推导出环面蜗杆副的齿面方程。为改善蜗杆副的啮合性能,提出了采用变中心距和变传动比对环面蜗杆修形,分析了中心距和传动比变化对啮合性能的影响。通过变中心距或变传动比修形可以有效的消除二界限线,得到承载性能更好的II形传动形式。采用接触线点的相对诱导法曲率半径作为微观啮合质量评价参数,构造优化目标函数,确定最优修形参数的值,使接触线的分布更合理。加工了一对变中心距修形的平面二次包络环面蜗杆副,滚检结果显示:蜗轮齿面无二界限线,接触区面积增大,与分析结果一致。     

平面二次包络环面蜗杆副传动性能优化设计

综合考虑蜗杆副全部接触线的微观与宏观啮合质量能准确反映其传动性能。为改善蜗杆副传动性能,提出平面二次包络环面蜗杆副齿面参数优化方法。首先运用微分几何学与坐标转换方法建立了蜗杆副全部接触线和相对运动速度方程,然后构建了表征平面二次包络环面蜗杆副全部接触线平均润滑角的优化模型。应用遗传算法对模型进行求解并获取合理设计参数,对优化前后的蜗杆副传动性能进行了对比分析。结果表明,建立的优化模型收敛性较好,经过参数优化的蜗杆传动,其微观和宏观啮合质量均得到了明显改善,传动性能得到显著提高。     

双自由度直线环面蜗杆副啮合分析及试验验证

为了提高直廓环面蜗杆副的接触质量,在加工直廓环面蜗杆直线刀刃转动时,再增加一个独立的沿着刀座轴线的移动,把刀刃由单自由度的运动变为双自由度的运动,从而得到一种新的环面蜗杆加工方法以及一种新的环面蜗杆传动,称之为双自由度直线环面蜗杆传动.建立这种环面蜗杆副的啮合分析数学模型,得到直线刀刃运动螺旋参数的计算公式;研究蜗杆头数和直线刀刃运动螺旋参数对蜗杆的根切界线、边齿顶厚、齿面接触区、蜗杆上双线接触区长度和蜗轮齿面上微观啮合质量的影响规律;采用普通滚齿机加工出一对这种环面蜗杆副,进行接触区试验,验证理论计算的结果.双自由度直线环面蜗杆传动可用于蜗杆头数多达6的场合;选择合适的直线刀刃运动螺旋参数可以得到比直廓环面蜗杆传动更好的接触质量、传动性能,具有实用价值.     

渐开线圆柱直齿轮结构参数对啮合效率的影响分析

以渐开线圆柱齿轮机构啮合效率为研究对象,基于齿轮副间接触反力的概念,分析了接触齿面间摩擦因数的影响因素,借鉴已有摩擦因数研究模型,分析了直齿和斜齿传动的啮合特点,推导出直齿齿轮传动的瞬时啮合效率和平均啮合效率的数学求解式;以直齿齿轮传动为例,在不同传动比、摩擦因数、压力角情况下分析了齿轮机构的啮合效率。结果表明,摩擦因数与齿轮啮合效率成反比,较大的压力角和传动比能提高齿轮的啮合效率,增速齿轮传动比减速齿轮传动的啮合效率高。     

基于弹流润滑理论的斜齿圆柱齿轮油膜厚度影响参数分析

基于弹流润滑理论,利用计算机仿真计算方法,分析了斜齿圆柱齿轮齿间最小油膜厚度沿啮合区间的变化规律,分别在传动比变化和不变2种情况下研究了齿轮参数对齿间节点处油膜厚度的影响规律.结果表明,当传动比变化时,油膜厚度随齿轮传动法向模数的增加而增加,随有效齿宽、螺旋角和法向压力角等齿轮参数的增加而减小;当传动比不变时,随齿轮参数的增加,油膜厚度增加.     

基于弹流润滑理论的斜齿圆柱齿轮油膜厚度参数影响研究

基于弹性流体动力润滑理论,建立了斜齿轮传动润滑最小油膜厚度计算公式,并利用Matlab程序绘图功能绘制出最小油膜厚度沿啮合线的变化曲线,计算分析了传动比、模数、压力角、螺旋角、重合度、齿宽系数等斜齿轮传动参数对齿轮副节点处润滑油膜厚度的影响,从而揭示了斜齿轮传动参数与齿轮副润滑性能之间的关系,为弹流润滑条件下斜齿轮传动的设计提供了一定的理论依据。     

无侧隙双滚子包络环面蜗杆传动的参数优化

无侧隙双滚子包络环面蜗杆传动是一种能同时满足高精度、大载荷要求的新型环面蜗杆传动.为获得啮合性能优良的无侧隙双滚子包络环面蜗杆传动,提出综合考虑传动齿面接触性能和润滑性能对该新型传动的几何参数进行优选.通过对蜗杆副齿面啮合参数如诱导法曲率、卷吸速度、润滑角以及滚子自转角等的数值计算,分析表征传动啮合性能的齿面接触参数的影响因素,进而确定该新型蜗杆传动优化设计变量的取值范围.以此为基础,建立以蜗杆副的滚子自转角及齿面综合系数为优化目标,建立以传动齿面润滑角、蜗杆轴的强度与刚度以及几何不干涉等为约束的优化设计数学模型,并用Matlab的遗传算法工具箱对数值算例进行求解.数值实例表明,经过几何参数优化的蜗杆传动,其齿面接触性能和润滑性能明显得到改善和提高.     

基于蒙特卡罗法的斜齿轮随机啮合效率可靠性分析

基于蒙特卡罗法,建立了斜齿轮随机啮合效率的可靠性模型,选择对啮合效率影响较大的5个参数作为随机参数,通过对随机参数的正态分布抽样,分别得到各个随机参数对啮合效率的可靠性影响.结果表明,法向模数和螺旋角对斜齿轮啮合效率的影响最小,两者相近;其次是齿宽、法向压力角;影响最大的是齿顶高系数h.所以,在考虑啮合效率的斜齿轮传动系统的设计和制造中,可以通过优化法向模数、螺旋角β和齿宽来提高斜齿轮的接触强度和弯曲强度,以减少对啮合效率的影响.     

相对位置误差对双重螺旋法加工齿轮副接触性能的影响

为预控双重螺旋法加工螺旋锥齿轮的啮合性能,研究了相对位置误差对双重螺旋法加工齿轮副接触性能的影响。根据螺旋锥齿轮副啮合接触原理,通过数值计算得到齿面离散啮合点分布位置,采用有限元法对不同相对位置误差条件下的齿轮副进行齿面啮合加载接触分析,得到了在不同相对位置误差条件下齿轮副传动误差、接触区位置及形状、法向接触力。结果表明,螺旋锥齿轮的传动误差和法向接触力均对小轮安装距误差较为敏感。通过滚检实验得到了齿面接触区位置和接触压力,验证了有限元分析结果。     

变齿厚渐开线齿轮包络环面蜗杆副性能测试

分析了变齿厚渐开线齿轮包络环面蜗杆传动的啮合特性,设计制造了传动副减速器样机,搭建了传动精度试验台和电封闭传动性能试验台,进行了减速器样机的传动精度、传动效率及承载能力等性能试验.分析结果表明:减速器样机传动精度的正反转传动误差分别为139.6"和257.2",样机具有较高的传动精度;传动副减速器样机正反转的最大传动效率分别为66.84％和60.32％,均能达到油温平衡;传动副齿面接触斑点分布与理论分析结果一致,验证了分析方法的正确性.     

无侧隙双滚子包络环面蜗杆传动的啮合性能分析

基于空间啮合原理,建立了无侧隙双滚子包络环面蜗杆传动的啮合方程、接触线方程以及蜗杆的齿面方程,推导了该传动的诱导法曲率、自转角、润滑角及相对卷吸速度公式.基于MATALB开发了传动的啮合性能分析系统,分析了无侧隙双滚子包络环面蜗杆传动的滚柱半径、蜗杆喉径系数、滚柱偏距和齿周角等参数对传动啮合性能参数的影响.     

Parametric analysis of the end face engagement worm gear

A novel specific type of worm drive, so-called end face engagement worm gear(EFEWD), is originally presented to minimize or overcome the gear backlash. Different factors, including the three different types, contact curves, tooth profile, lubrication angle and the induced normal curvature are taken into account to investigate the meshing characteristics and create the profile of a novel specific type of worm drive through mathematical models and theoretical analysis. The tooth of the worm wheel is very specific with the sine-shaped tooth which is located at the alveolus of the worm and the tooth profile of a worm is generated by the meshing movement of the worm wheel with the sine-shaped tooth, but just the end face of the worm(with three different typical meshing types) is adapted to meshing, and therefore an extraordinary manufacturing methods is used to generate the profile of the end face engagement worm. The research results indicates that the bearing contacts of the generated conjugate hourglass worm gear set are in line contacts, with certain advantages of no-backlash, high precision and high operating efficiency over other gears and gear systems besides the end face engagement worm gear drive may improve bearing contact, reduce the level of transmission errors and lessen the sensitivity to errors of alignment. Also, the end face engagement worm can be easily made with superior meshing and lubrication performance compared with the conventional techniques. In particular, the meshing and lubrication performance of the end face engagement worm gear by using the end face to meshing can be increased over 10% and 7%, respectively. This investigate is expect to provide a new insight on the design of the future no-backlash worm drive for industry.     

Modification design method for an enveloping hourglass worm gear with consideration of machining and misalignment errors

The influences of machining and misalignment errors play a very critical role in the performance of the anti-backlash double-roller enveloping hourglass worm gear(ADEHWG).However,a corresponding efficient method for eliminating or reducing these errors on the tooth profile of the ADEHWG is seldom reported.The gear engagement equation and tooth profile equation for considering six different errors that could arise from the machining and gear misalignment are derived from the theories of differential geometry and gear meshing.Also,the tooth contact analysis(TCA) is used to systematically investigate the influence of the machining and misalignment errors on the contact curves and the tooth profile by means of numerical analysis and three-dimensional solid modeling.The research results show that vertical angular misalignment of the worm wheel(Δβ) has the strongest influences while the tooth angle error(Δα) has the weakest influences on the contact curves and the tooth profile.A novel efficient approach is proposed and used to minimize the effect of the errors in manufacturing by changing the radius of the grinding wheel and the approaching point of contact.The results from the TCA and the experiment demonstrate that this tooth profile design modification method can indeed reduce the machining and misalignment errors.This modification design method is helpful in understanding the manufacturing technology of the ADEHWG.     

Optimal design for an end face engagement worm gear with multiple worm-wheel meshing

To solve the problem for lacking a special mechanical transmission that could provide multiple outputs with high transmission efficiency and good lubrication in the modern industrial, a novel worm gear, named end face engagement worm gear, with multiple worm-wheel meshing is proposed for the first time. The essential parameters for the worm gear are optimized to enhance lubrication and meshing properties. Moreover, analysis of variance(ANOVA) is applied to determine the optimum levels and to determine the influence of parameters. The ANOVA results show that the novel end face engagement worm gear with multiple worm wheels provides high lubrication(the lubrication angle is more than 89°) and meshing performance(the induce normal curvature is less than 0.0002 mm~(-1)). The interaction between center distance and roller slant distance most strongly influences the lubrication angle(contributed 51.6%), followed by the parameters of center distance(contributed 25.0%), roller slant distance(contributed 16.4%), tooth angle of gear, gear ratio, and roller radius. In addition, roller radius most strongly influences the induced normal curvature(contributed 39.4%), followed by roller slant distance(contributed 15.2%), tooth angle of the gear(contributed 9.0%), center distance, and gear ratio. The proposed worm gear helps to enrich the no-backlash high precision worm drive and the optimal design method can provide a useful reference on performance improvement of other worm gear.     

环面蜗杆齿面啮合线的计算机仿真技术

应用齿轮啮合原理和微分几何的有关知识,建立柱面包络环面蜗杆传动的数学模型,运用计算机图形技术,编制绘出环面蜗杆传动及齿面啮合线正等轴测图的计算机程序,在计算机上实现了蜗杆齿面及齿面上啮合线的计算机仿真。     

滚柱包络环面蜗杆传动的运动学分析

应用共轭曲面啮合理论，建立了滚柱包络环面蜗杆齿面方程、滚柱曲面与蜗杆齿面的啮合方程。在此基础上，对其接触线、相对速度、滚柱自转速度及压力角等运动学参数进行了深入分析。为该类机构的参数设计提供了理论依据。     

Effects of Boundary Condition and Helix Angle On Meshing Performance of TI Worm Gearing

To exactly describe the contact state and contact area of tooth surface of toroidal involute (TI) worm gearing, the authors introduced boundary condition into contact line analysis. With helix angle chosen as parameter, the criterion for the existence of meshing boundary line on the surface of TI worm gearing is derived. Results show that there can be four situations for meshing boundary line on the tooth surface of gear, namely, inexistence of meshing boundary line, a unique line, two lines, and two coincident lines. If the helix angle is equal to or slightly smaller than the bigger angle, which makes two meshing boundary lines superpose, a preferable meshing performance is obtained. Computer simulation proves the validity of the above conclusion. Translated from Journal of Tianjin University, 2004, 37(10)     

渐开线蜗杆传动的动态接触分析

根据渐开线蜗轮、蜗杆齿面方程,运用MATLAB和SolidWorks对蜗杆、蜗轮进行三维建模,并将装配体导入ANSYS中进行动态接触分析.将模型导入动力学分析软件ADAMS中,研究蜗轮、蜗杆之间的啮合力变化.研究表明渐开线蜗杆副在啮合时不同位置应力变化较大,且蜗杆副正常啮合时的啮合力最大值出现在蜗轮、蜗杆轮齿初始啮合区...     

TI 环面蜗杆砂轮磨齿原理

根据空间交错轴齿轮啮合理论，对ＴＩ环面蜗杆砂轮磨齿原理进行了理论研究，推导出了基本方程，分析了磨削渐开线直、斜齿圆柱齿轮时的接触线分布规律，并得到了齿面上不存在啮合界限线的判定条件，经微机模拟接触过程，表明此方法是一种高效的齿面磨削方法。