平面二次包络内蜗轮齿面成型方法

为了使平面包络鼓形蜗杆传动具有更佳的承载能力与良好的传动性能,利用微分几何及啮合理论建立平面二次包络鼓形蜗杆传动的包络理论,依照鼓形蜗杆齿廓螺旋线创建鼓形蜗杆实体模型,采用二次开发使鼓形蜗杆与具有内齿轮特性的面进行布尔运算,求解出高精度的二次包络内蜗轮齿面。与一次包络鼓形蜗杆副相比,鼓行蜗杆副具有双线接触、接触面大、齿面间易形成动压油膜和承载能力更强等优点,其内置蜗杆结构为后续机器人智能关节研究奠定理论基础。     

基于接触线的二次包络TI蜗杆传动啮合性能分析

从接触线和啮合界限线的角度对二次包络TI蜗杆传动进行了接触性能分析。分析表明,只有当蜗轮齿面上的啮合界限线为一条或两条且这两条线不重合时,才能在二次包络TI蜗杆传动副的蜗轮齿面上得到二次接触线;在加工允许的范围内,螺旋角取较大的数值,能够较好地改善啮合性能,从而发挥二次包络TI蜗杆传动的优势。研究对合理选择设计参数具有指导意义。     

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.     

平面包络内啮合蜗杆传动关键参数对接触区域的影响分析

为了研究关键设计参数对平面包络内啮合蜗杆传动接触性能及承载能力的影响。基于齿轮啮合原理,构建平面包络内啮合蜗杆传动的空间齿面接触线方程,利用数值计算方法求得空间齿面接触线,并将其映射到蜗轮齿面,通过分析中心距、传动比、母平面倾角、蜗轮回转轴倾角、蜗轮转角、蜗杆分度圆系数、主基圆系数等不同参数对蜗杆齿面接触区域的分布情况,找出合理的设计参数范围,此外,根据初步分析结果,选取一组较为合理参数生成了平面包络内啮合蜗杆传动的三维模型。研究表明,传动比、母平面倾角、蜗轮转角对平面包络内啮合蜗杆传动的接触区域有较大影响,母平面倾角在18°~36°、蜗轮回转中心轴倾角在30°~54°、蜗轮转角在90°~138°之间取值时,平面包络内啮合蜗杆传动的具有较好的接触区域。研究结果为平面包络内啮合蜗杆传动的后续研究奠定了理论基础。     

Localised tooth contact analysis of single envelope worm gears with assembly errors

This paper presents the basis of loaded tooth contact analysis and predicts the influence of assembly errors on localised contact stress distribution in single enveloping (cylindrical) worm gearing during a meshing cycle. A method for loaded tooth contact analysis, geometry and kinematics of such gear pairs is developed. The method accounts for the effects of tooth composite deflection caused by bending, shearing, foundation, tooth contact deformation and initial profile separation due to assembly errors. The method includes the determination of contact lines, load and stress distribution due to assembly errors. Because of the complex geometry of worm gear teeth, the tooth bending stiffness is calculated using the slicing technique developed earlier by the authors. Classical Hertz theory is used for calculating contact stress and deformation. A computer program based on the presented method has been developed and used to study the influence of errors on mating teeth contact. It is shown that the governing factors in loaded gears with assembly error are the mesh stiffness and the amount of error which is linked to load sharing between adjacent tooth pairs. A numerical example is presented to further clarify the outlined method.     

二次包络蜗轮副润滑油润滑性能的试验研究

通过对二次包络蜗轮副接触形态进行理论分析,对润滑油的选用提出了要求,提出了评价包络蜗轮副润滑油润滑性能的方法,并对几种润滑油在平面二次包络蜗轮副上进行了实机实验,得出了一些有益的结论。     

复杂齿廓齿轮传动接触区的数值分析方法

对复杂齿廓进行离散,采用移动最小二乘法进行插值重构齿面,进而采用数值方法求解传动过程中接触区的形状及其变化.采用减半递推技术进行接触区搜索,计算效率高,收敛快.编写相关程序对非渐开线变厚齿轮和渐开线包络环面蜗杆两种复杂齿廓齿轮传动进行接触区分析,分析结果验证非渐开线变厚齿轮可以实现空间线接触而渐开线包络环面蜗杆传动承载能力强的特点.将分析结果与有限元分析结果和试验进行比较,证明本文方法的精确性和实用性.     

锥面二次包络圆柱蜗杆传动的啮合性能分析

以微分几何与空间啮合理论为基础,推导了锥面二次包络圆柱蜗杆传动两次包络过程中的啮合方程和主要啮合性能指标方程,以图直观的表示出其形状、位置和分布状况。研究发现蜗杆副在砂轮半径一定的变化范围之内,其接触性能和传动啮合性能变化不大,为这类蜗杆传动中蜗轮滚刀的设计制造提供了理论基础。     

平面一次包络环面蜗杆副齿间载荷分配研究

平面一次包络环面蜗杆两侧工作齿面为直纹曲面,利用这一特点提出了建立蜗杆副准确的三维实体模型的方法.完成了一对平面一次包络环面蜗副的精确三维实体模型,然后以中间格式导入ABAQUS.利用有限元法分析接触载荷在轮齿之间的分布,发现接触载荷从啮入到啮出过程是逐渐减小的.利用有限元法研究了母平面倾角β对于接触载荷分布的影响,发现在蜗杆齿面不出现非啮合区的前提下,β较大时载荷分布更均匀.     

渐开面包络环面蜗杆特征建模研究

渐开面环面蜗杆的三维构建属复杂曲面造型,文章在环面蜗杆螺旋线参数方程建模的基础上,分析讨论了其与渐开面环面蜗杆螺旋齿面方程的对应关系,建立了渐开面包络环面蜗杆产型齿的特征模型。按此模型在MDT6.0三维绘图软件环境中实现了渐开面环面蜗杆的三维实体造型,并在进一步完成的"渐开面二次包络环面蜗杆副的虚拟实体"中,以断面图检验了其良好的啮合状态。所生成的实体模型具有给定参数的数字信息,可用于齿廓形状及特性分析,推动此类环面蜗杆的开发与应用研究。     

直廓环面蜗杆传动类型和修形参数的选择

对直廓环面蜗杆传动类型进行分类,对现有主要修形方法进行了分析;提出Ⅱ型为首选传动类型;以△i和△a综合修形最佳,引入修形量△b＞0可以扩大蜗轮齿面接触区,并给出了△i、△a和△b修形参数的选择范围。     

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。     

双包络环面蜗杆传动齿面运动参数的研究

从传动摩擦学观点出发，对啮合理论和润滑理论进行了耦合研究。探讨了齿面接触点上的卷吸速度，并对相对滑动速度在接触线法向的分量和卷吸速度进行了对比研究。结果表明，在对双包络环面蜗杆传动作润滑分析时以用卷吸速度作为运动参数为宜，因而提出用卷滑比来作为衡量齿面摩擦学性能的运动参数。     

Logix蜗轮蜗杆啮合

为改进尼曼蜗杆仅有2阶接触点,利用Logix齿轮能够实现3阶接触的基础,借鉴先前推广到Logix齿轮齿条的经验,进一步将Logix 齿轮啮合推广至Logix蜗轮蜗杆啮合,并加工出了这种蜗轮和蜗杆,证实了设想的可行性.     

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.     

变位形式的准平面二次包络环面蜗杆传动研究

准平面二次包络环面蜗杆传动按照形成蜗杆和蜗轮齿面的 2次包络的相对运动规律相同与否 ,分为标准传动和变位传动 2种传动形式。分析计算了在变位情况下各变位参数对齿面啮合性能的影响 ,计算结果表明 ,该传动在采取变位形式加工时其齿面接触线分布形态及接触性能主要取决于变位参数的选取 ,通过变位参数的合理选取能使蜗杆传动齿面接触线得到良好的分布形态     

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)     

新型二次包络环面蜗杆副测量仪

介绍了新型二次包络环面蜗杆副测量仪的结构、原理及实测结果。该仪器不但能对二次包络环面蜗杆副的切向综合误差进行检测,借助于专用测量附件和测头,还能对包络环面蜗杆的整体误差及单项误差进行快速精确的测量。     

失配点啮合环面蜗杆传动的研究

提出了用锥面和直线分别展成蜗杆和蜗轮滚刀，获得失配点啮合环面蜗杆传动的方法。分析了该失配啮合传动的基本原理。求解了蜗杆副的占面接触状态和加工工艺参数。结果表明该失配啮合传动可实现良好的点接触。     

Load sharing and stress analysis of single enveloping worm gearing considering transmission errors

A procedure, known as the slicing method, which has been developed earlier by the authors to estimate the load share of single enveloping (cylindrical) worm gear drives and to calculate the instantaneous tooth meshing stiffness and stresses, is extended in this study to investigate the effect of transmission error on loading and stresses. Tooth composite deflection caused by bending, shearing, contact deformation and initial separation due to profile mismatch are determined in the analysis as well as tooth stiffness variation during the course of contact of both the worm and the wheel. The elasticity theory was used to calculate fillet stresses and deformation of both the worm and wheel. Numerical examples are presented to illustrate the response of worm gear set in the presence of transmission error and under given loading conditions. The procedure was proven to be safe and reliable in rating the load capacity and useful in the design of worm gear drives with compact size and high power transmission.