啮合

Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing.

基于微分几何和齿轮啮合理论，分析了共轭啮合齿面间的一系列几何关系，从而揭示了两个作空间共轭啮合运动的齿面之间的法曲率、短程挠率的内在几何联系。作为上述理论的具体应用，研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系

According to the method for force analysis of statically indeterminate structure and that of common planar mechanisms, the structural deformation coordination equations, which are based on the microdisplacement of movable pushrod, are put forward.

建立偏心轮推杆行星传动的有限元分析模型，用有限元软件全面分析了传动中各啮合零件的变形和啮合刚度，得到了各个零件啮合刚度的变化规律。

This paper has analysed the influences of the sabot"s shape on the meshing clearance"s distribution, and provides several typical meshing clearance"s distributions of sabot, so it"s a good reference to the practical use of meshing clearance.

论文分析了弹托外形对啮合间隙分布的影响，并给出了几种典型的弹托的啮合间隙分布，为啮合间隙的实际应用提供了参考。

Its corresponding calculation program was developed, and used to study actual change of transmission ratio during meshing process.

提出了数控加工的摆轮与针轮啮合过程实际传动比和齿侧间隙的计算方法，开发了相应的计算程序，用此程序进一步研究了啮合过程中传动比的变化规律，得出了啮合过程中传动比波动较大及步长与平均传动比不是单调关系的结论。

Theory; the spatial meshing theory includes comparative motion, comparative differential and conjugative curved surface; and the application of meshing theory includes gear drive and worm drive. The spatial meshing theory is the main part of the course.

课程的重点讲解内容有曲线的参数方程、切线、法面、弧长、曲率、空间曲线的基本公式、挠率及平面曲线的基本公式等；曲面第一和第二基本公式，法曲率、主方向和主曲率、欧拉公式、短程挠率、欧拉公式和贝特朗公式推广、相对法曲率和相对短程挠率等；刚体的绝对和相对运动速度、相对微分和绝对微分、相对速度和相对微分、轨迹曲面的法曲率和短程挠率等；空间共轭曲面的啮合条件、诱导法曲率、两类界限点、等距共轭曲面、空间啮合的二次接触原理等；蜗杆传动的数学模型建立及啮合特性分析方法等。

Based on the meshing theory and geometry relationship between rotors of cycloidal pump , the position and velocity vector equations of meshing point are given, and the sliding coefficient formula are derived.

根据摆线泵转子间的啮合关系建立了啮合点在各坐标轴中的矢量方程，导出了啮合点的速度矢量方程和齿廓相对滑动系数的计算式，并以实例作出了运动速度和滑动系数随转子转角的变化曲线，并分析了影响滑动系数的因

In this dissertation, first, based on theory of cutting tooth about the gleason spiral bevel gear, the equation of meshing in the process of cutting tooth, the surface equation of generating gear as well as the general tooth surface equation of the double circular arc spiral bevel gear, using GB12759-1991 type of double circular arc gear as a basic gear profile, a three-dimension solid model of double circular arc spiral bevel gear which has the good adaptability was carried out by used of Unigraphics software;Second, by researching of the algorithm about contact and collision as well as various contact types based upon Contacting Finite Element Method, a foundation was laid for selecting the contact type in analyzing contact stress of double circular arc spiral bevel gearing;Finally, through the connection port of PARASOLID between UG software and ANSYS/LS-DYNA software, the three-dimension solid model of double circular arc spiral bevel gearing obtained above in UG was imported into ANSYS/LS-DYNA, a finite element analyzing about contact stress of double circular arc spiral bevel gearing was carried out by applying new loading method.

本文首先基于格利森弧齿锥齿轮加工原理及切齿啮合过程中的啮合方程、产形轮齿面方程以及双圆弧弧齿锥齿轮的齿面方程，选用GB12759-1991型双圆弧齿轮基本齿廓为基准齿形，利用Unigraphics软件的建模功能，绘制了有较好适应性的双圆弧弧齿锥齿轮传动三维实体模型。其次，描述了应用有限单元法进行实体接触与碰撞问题算法的公式，研究了有限元分析中的各种接触类型以及双圆弧弧齿锥齿轮接触应力分析中所选择接触类型的依据。最后，通过UG软件和ANSYS/LS-DYNA之间的PARASOLID接口工具包，将UG软件中得到的啮合齿轮模型导入ANSYS/LS-DYNA有限元分析软件，给出一种新的加载方法，进行了双圆弧弧齿锥齿轮传动的接触应力的有限元分析。

Furthermore, it also compares engaging force between complete knife chain and sprocket, and colliding process of the complete knife chain contact with the pin. Analyzing and comparing the condition of chain engaged with the driving and driven sprocket can help to understand the contact force and tension in entire progress of transmission.

讨论完整刀链与链轮之啮合受力比较，及完整刀链与连接销碰撞之过程情形，并分析比较链片与驱动链轮及传动链轮啮合之情形，以了解其整个过程的啮合碰撞受力关系及所受之张力情形，最后进行结构强度分析。

At the end, the prototype of the cylindrical surface envelope globoidal worm gearing with rolling friction and point engagement is manufactured successfully and the experiment of the prototype is performed, which shows that above-mentioned theory and technology for such mechanisms are correct and feasible, and also shows that the performances for such mechanisms are largely better than other worm gearings.

最后，论文通过滚动式圆柱面包络点啮合环面蜗杆传动原型机的研制和原型机实验，验证了滚动式回转面包络点啮合环面蜗杆传动理论的正确性和技术方案的可行性，同时也进一步验证了滚动式回转面包络点啮合环面蜗杆传动优良的特性并揭示了其良好的产业开发前景。

According to the engage relation of cycloidal gear with the pin wheel in type 2K V transmission,the formulas of relationship between transmission precision and mesh error of the actual profile of gears are established; then a synthesis mesh error is proposed as a quantified concourse of error to judge the transmission error,therefor the machining tolerances relative to transmission precision have quantificational relation,which is the basis for machining high precision 2K V drives with cycloidal gears.

根据 2K—V型传动中摆线轮与针轮的啮合关系，建立了实际齿廓的啮合误差与传动精度关系的计算式，并提出了综合啮合误差这一量化误差集合来评判传动误差，使得加工公差与传动精度有一个定量的关系，从而为研制开发高精度摆线齿 2K V型传动的加工制造提供了依据。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。