渐开线

This thesis discusses the following. First, we use the condition of inference and the concept of wildhabor cone to design the addendum circle. Second, we use TCA technique to obtain the relationship between the slip track and the angle of action, which then leads to the calculation of contact ratios. We can then design the tooth face width and the numbers of teeth based on contact ratios.

本文一开始先对空间渐开线齿轮之齿冠圆范围使用齿轮干涉条件与Phillips提出的Wildhabor Cone进行设定，再利用Litvin提出的齿面接触分析方法，得到空间渐开线齿轮对在啮合过程中作用角与滑动轨迹之间的关系，藉由此关系可以建立一套设计流程来调整齿面宽以及齿数等参数，使其能符合设计需求。

The analysis result about vibration states that the double involute gear possesses the better dynamic characteristics than that of the common involute gear. The results of experiments betoken that such gear will have a very good prospect of use.

振动分析结果表明：双渐开线齿轮振动速度的有效值和振动加速度的幅值与渐开线齿轮相比均有明显下降，表明双渐开线齿轮具有更好的动方学特性；同时从双渐开线齿轮振动时域图及频谱图上未发现异常成分存在。

Based on the involute's basic principles and theoretical formulas, input the involute's formulas of cartesian coordinates into the equation editor, accordingly create the precise involute of gear's contour. Based on the formula of helical gear's parameters, accurately create a curve of tooth profile. Create the chraceristics of helical gear by ordering of swept blend and array.

依据渐开线生成的基本原理和理论公式，在方程编辑器中输入渐开线的笛卡尔坐标方程，从而生成精确的齿轮轮廓渐开线；根据角变位斜齿轮各参数的计算公式，精确创建了齿廓曲线；利用扫描混合和阵列命令创建斜齿轮的轮齿特征。

This paper establishes the mathematical equatations for Digital Differential Analyzer involute interpolations .

分析并建立了数字积分法渐开线插补的数学模型，采用该方法设计的微机数控系统能直接进行渐开线轮廓的加

On the basis of which,a new method of turning involute helicoid worm as turning straight sided axial worm is put forward.

本文推导出了渐开线斜齿圆柱齿轮轴向齿廓的计算公式，并在此基础上提出了用车削阿基米德蜗杆的方法车削渐开线蜗杆的新方法。

It Newton iteration is used in the analysis of math value,and the simplicity formula is given to resolve(including original initial value formula and advanced approximation formula),which can be characterized by fast speed and easy remembering.

采用数值分析中的牛顿迭代法求反渐开线函数的根，并给出了符合精度要求的解算反渐开线函数的简单公式(包括原始初值公式和近似值精化公式)，具有迭代收敛速度快、简单易记的优点，它们适用于[0，π/2]的全区段，免除了分段计算的烦恼，并运用VB编写计算机程序，从而实现反渐开线函数快速求根的目的。

And the polar angle and the polar radius was represented into AutoCAD polar coordinate, the involute was drawn through the spline linear tool. And then, a section of the involute was intercepted with the diameters of the point circle and the root circle, used it as the tooth face of the spline. The involute tooth thickness was drawn using the diameter of the divided circle and the tooth-form was drawn through rotating, mirroring image and cutting.

根据DIN 3960渐开线花键的坐标值，用EXCEL函数功能计算出不同压力角下渐开线的极角和极半径，表示成AutoCAD极坐标并通过样条线工具绘制出渐开线，再用齿顶圆和齿根圆直径截取一段渐开线作为为花键齿面，并用分度圆直径绘制出渐开线齿剖面，经镜像和裁剪便可绘制出渐开线齿形。

Firstly, according to the analysis of the forming principle of the involutes profile and the tooth thickness of formula, a mathematical model of involutes profile was established.

首先，根据对渐开线齿廓形成原理和渐开线齿轮任意圆上的齿厚公式的分析，建立了插齿刀的渐开线圆柱齿轮齿廓的数学模型。

On the basis of analyzing and calculating transverse tooth profile for geometry, the symmetry line and tip arc of transverse tooth profile for a teeth of gear were defined and it also be drawed out.

由于渐开线圆柱齿轮的端面齿廓为渐开线，而且轮齿的厚度与齿轮的模数相关，所以用AutoCAD建立渐开线圆柱齿轮的三维模型十分困难。

The main research as follow: gradually open line,in which a small segment adopted to draw straight line to matching;the key points,at which gradually open polar coordinate calculation is adopted;there are two kinds of situation should be considered in the outside wheel gear;in order to keep enough place for revolving angle,repla...

研究工作包括：渐开线采用小段直线的拟合；关键点采用渐开线公式的极坐标形式计算；外齿轮齿廓渐开线要考虑两种情况的生成；外齿轮上以作用力的方式代替转距以保证在节点处啮合外齿轮所要旋转的角度；用ANSYS软件仿真了几组不同的情况，并将仿真结果与理论计算结果进行比较，结果表明所用理论方法和所建模型的正确性。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。