渐开线齿廓根切现象是齿轮传动中一个重要的问题。
Undercutting phenomenon is an important problem in gear transmission.
根据渐开线球齿轮的仿形加工原理，设计一种具有渐开线齿廓的指状铣刀。
According to the principle of profiling machining of involute spherical gears, this paper designs the accurate involute profile curve of its finger milling-cutter.
齿形裕度：齿形裕度(cF)是相互配合的内、外花键的渐开线齿廓超过结合部分的径向距离。
Form Clearance (cF) is the radial depth of involute profile beyond the depth of engagement with the mating part.
渐开线终止圆与齿顶圆（或者修缘线的起点所在的圆）共同限制了所要求控制的渐开线齿廓的范围。
This circle along with the tooth tip circle (or start of chamfer circle) determines the limits of tooth profile requiring control.
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。
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.
运用渐开线展开和曲线包络原理，建立了双渐开线齿轮端面齿廓数学模型，用数据验证了模型的准确性。
The outspread principle of involute and enveloping principle of curve is applied to build the model of double involutes gear contrate profile, the veracity is verified by the data.
为解决渐开线齿轮的精确造型问题，提出了齿廓渐开线曲线的计算公式。
To model involute gears accurately, a formula for calculating the involute curve of gear profile is presented.
齿轮泵转子的齿廓型线一般为渐开线，渐开线型线虽设计加工方便，但存在原理性的困油现象；
The tooth profile of gear pump is involute in general. Though the involute profile is easy to design and manufacture, it also brings the inherent problem of oil trapping.
应用渐开线-摆线复合齿轮作为采煤机的行走部，系统地阐述其形成原理及求出齿廓方程。
Applied the inviolate-cycloid compound gear as the walking organization for shearer, systematically elaborated it which formed the principle and extracted the tooth profile equation.
该方程能准确、真实地描述整个渐开线齿轮端面齿廓，为齿轮啮合、运动学和动力学分析提供了新的理论依据。
This equation can describe the whole involute transverse tooth profile exactly. It also provides a new theoretical base for the analysis of gear mesh. Kinematics and dynamics.
齿廓曲线尤其是齿根过渡曲线的构建是渐开线圆柱齿轮三维实体建模的难点，也是其关键问题。
The model of gear profile curve and gear transition curve are the difficult but key point of gear 3d solid model.
并以某渐开线圆柱齿轮为例计算齿廓偏差，计算结果表明，该方法正确、可行。
By taking an involute cylindrical gear as an example, the tooth profile deviation is calculated. The results show that the method is correct and feasible.
并以某渐开线圆柱齿轮为例计算齿廓偏差，计算结果表明，该方法正确、可行。
By taking an involute cylindrical gear as an example, the tooth profile deviation is calculated. The results show that the method is correct and feasible.
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