滚柱丝杠副的啮合计算

滚柱丝杠副是近年来发展起来的新型传动部件，它的工艺性和使用性能均高于滚珠丝，介绍了滚柱丝杠的结构。通过建立丝螺纹曲面和滚柱曲面方程，研究丝杠和滚柱之间的啮合关系，从而为机构参数的选择提供理论上的依据。     

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.     

行星滚柱丝杠副螺旋曲面啮合机理研究

行星滚柱丝杠副是一种通过多个滚柱与丝杠及螺母之间螺旋曲面啮合传递动力与运动的传动机构。基于多头螺纹结构特点,建立了丝杠、滚柱和螺母螺纹的曲面方程。利用啮合曲面的连续相切接触条件,通过引入丝杠、滚柱或螺母螺旋曲面沿轴线移动的矢量,提出一种行星滚柱丝杠副啮合点位置与轴向侧隙的计算方法。在此基础上,推导得出丝杠和滚柱与螺母和滚柱之间的啮合方程以及轴向侧隙公式,将该啮合方程与现有计算方法进行比较验证其正确性,并进一步分析了当丝杠、滚柱和螺母牙型角相同时行星滚柱丝杠副的啮合点位置、轴向侧隙以及啮合螺旋曲面之间的轴向间隙分布。结果表明:丝杠和滚柱的啮合点会偏向二者螺纹牙顶;螺母和滚柱的啮合点位于螺纹中径切点处;为实现无侧隙设计,丝杠、滚柱和螺母应具有不同牙厚。     

考虑误差的行星滚柱丝杠副啮合模型研究

行星滚柱丝杠在工作运行中,由于存在安装精度以及螺纹精度误差,各螺纹参数、结构参数与滚柱定位并不能保证完全精确.当产生误差时,行星滚柱丝杠副的接触点位置与接触特性会发生改变.从行星滚柱丝杠副的啮合原理切入,分析各种误差的形式以及量化表现,运用刚体欧拉定理,结合行星滚柱丝杠副的坐标变换求解各螺纹的螺旋曲面方程;综合考虑误差存在的啮合条件,提出一种考虑误差的行星滚柱丝杠副啮合模型;使用Matlab软件对方程求解并与其他啮合模型比对验证,同时在Creo中建立三维模型以验证此模型的正确性.结果表明:此研究方法合理,计算可行,可用于行星滚柱丝杠副偏斜模型研究,并为进一步分析其运动学与动力学特性打下基础.     

一类蜗杆传动啮合方程的研究

本文导出了某一类蜗杆传动的啮合函数一般公式,它适用于轨迹曲面蜗杆（这种蜗杆齿面由一条曲线作刚体运动而产生）传动和化为这种类型的蜗杆传动。文中对加工蜗杆齿面时刀刃曲线的不同形状,依据公式得到了相应蜗杆传动啮合方程的可解规律。工业生产中几种重要的蜗杆传动的啮合方程,都可化为关于某参数的至多四次代数方程。     

单圆柱滚子包络蜗杆传动啮合效率分析

以单圆柱滚子包络环面蜗杆传动为研究对象,基于空间啮合原理,推导出滚柱包络环面蜗杆传动的啮合效率公式,并分析了啮合效率的影响因素。结果表明,蜗杆副接触齿面间的摩擦因数对啮合效率的影响最大,传动比次之,滚柱半径值影响较小;减小传动比、降低摩擦因数、减少滚柱半径尺寸,有利于滚柱包络环面蜗杆传动啮合效率的提高。研究结论为以后滚柱蜗杆、蜗轮啮合传动的优化与改进提供了重要的参考。     

双圆弧齿轮珩齿啮合原理

本文分析了圆柱蜗杆型双圆弧齿轮珩齿啮合原理，给出了蜗杆珩轮的齿面方程、啮合线方程、珩轮和齿轮齿面接触迹方程。     

圆弧齿圆柱蜗杆齿面精确磨削

制造高质量的圆弧齿圆柱蜗杆副时,在工艺上必须解决蜗杆齿面的磨削。由于砂轮必须是被磨削蜗杆螺旋面的包络曲面,而实际设计计算时,其砂轮曲面求解相当繁杂,不但周期长,甚至人工无法求解。故传统工艺常采用近似磨削法,从而影响到加工精度。针对这一情况,我们应用空间啮合理论,对圆弧齿圆柱蜗杆磨削过程进行新的、严密的理论推导,得出了啮合方程和砂轮轴向廓线的数学模型,并借助电脑辅助设计,解决了其工艺关键:砂轮曲面求解及靠模设计,实现了圆弧齿圆柱蜗杆齿面的精确磨削。     

ZA型蜗轮的精确建模与修形

研究了ZA型蜗轮的建模与修形技术,为蜗轮五轴数控加工编程提供精确的三维模型。建立车刀、蜗杆、蜗轮的坐标系,在此基础上得出车刀坐标系到蜗杆坐标系、蜗杆坐标系到蜗轮坐标系的转换公式;推导得出车刀刃口方程,根据车刀坐标系到蜗杆坐标系转换公式可得出蜗杆齿面方程;根据齿轮啮合原理,推导得出蜗杆蜗轮啮合方程;将蜗杆齿面方程、蜗杆蜗轮啮合方程、蜗杆坐标系到蜗轮坐标系的转换公式联立即为蜗轮齿面方程;根据蜗轮副啮合区的要求,对蜗轮齿面方程计算出来的齿面点集进行法向向内偏移,使得蜗轮齿面修鼓。最终的啮合区图表明:修形蜗轮与标准蜗杆的啮合性能符合使用要求。     

单圆柱滚子包络蜗杆传动滚子转动速度分析

为了分析滚柱蜗杆和蜗轮啮合时,滚柱的自转情况,首先根据啮合原理和微分方程建立了蜗轮滚柱的相对运动速度方程,分析接触线上各点的运动状态。研究结果表明,在沿着滚柱的轴线方向上有分速度存在,沿蜗轮滚柱轴线方向上存在滑动摩擦。然后,在对蜗轮滚柱进行合理的受力分析的情况下,提出一种确定滚柱自转角速度的思路,丰富了滚柱蜗杆传动的理论,为以后滚柱蜗杆、蜗轮啮合传动的优化与设计提供了参考。     

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.     

阀门电动装置蜗轮蜗杆精确建模研究

蜗轮蜗杆是阀门电动装置的关键传动部件,进行精确的实体建模是进行有限元接触分析的前提,而蜗轮的齿面是复杂的空间曲面,是建模的难点。通过蜗轮蜗杆的啮合关系得出蜗轮齿面啮合方程,运用Matlab编程求解蜗轮齿面方程得到齿面上的离散点,再通过Pro／E逆向反求得到蜗轮齿面,最终实现蜗轮的精确建模。另外通过Pro／E建立蜗杆模型并对蜗轮蜗杆进行装配,经检验装配后无干涉存在,结果表明该方法能够准确地建立蜗轮蜗杆实体模型。     

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...     

用包络理论建立端面蜗轮副的通用数学模型

对一种新型的蜗杆传动——端面蜗轮副分析和建立了数学模型,运用包络理论,建立了端面蜗轮副的通用齿面方程,分析计算了齿面的综合曲率。为这类蜗杆传动的研制和CAD系统的开发奠定了基础。     

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)     

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.     

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。     

圆柱蜗轮齿形齿厚计算及齿廓自动生成

利用啮合原理推导了圆柱蜗轮齿面方程的一般形式,给出了任意半径处齿厚的求解方法,并以阿基米德蜗轮为例给出具体的齿面方程.利用Visual Basic 6.0编制了齿形齿厚自动计算和齿廓自动绘制程序,在此基础上对蜗轮齿形进行分析.     

变齿厚渐开线齿轮包络环面蜗杆传动啮合性能分析

为准确掌握变齿厚渐开线齿轮包络环面蜗杆传动的宏微观啮合性能及各设计参数对啮合性能的影响,建立了传动副数学模型,推导出啮合几何学方程,研究了螺旋角、传动比、法向模数及压力角等主要设计参数对啮合性能的影响规律;综合考虑选取优化设计参数并进行传动副样件加工,通过传动副对检试验考察了接触斑点的分布情况。分析结果表明：在满足环面蜗杆喉部中径强度和刚度要求的情况下,适当螺旋角、较大传动比、较大法向模数和较大压力角会获得优异的接触线分布、接触区域和较优的微观啮合质量;右侧的微观啮合质量优于左侧的微观啮合质量;传动副样件接触斑点与理论分析结果一致,右侧齿面接触斑点分布更好,验证了分析方法的正确性。