This text introduce that use space meshing principle and differential geometry theory to induct gear plane equation of two packs worm it get worm 's dispersed model of the line in the gear tooth plane basis on combining coordinate and transforming of system of coordinates .

本文介绍了运用空间啮合原理和微分几何理论推导出了平面二次包络环面蜗杆副的蜗杆齿面方程，并在此基础上结合坐标与坐标系变换得到了蜗杆 齿 面接触线的离散模型。

Thirdly as one of oblique plane primary enveloping worm drive which has more meshing tooth pairs it has high contact ratio leads to strong bearing capability which near to plane double enveloping worm drive .

第三它作为斜平面一次包络蜗杆传动中的一种，啮合 齿对较多，因此啮合重合度高，传动副承载能力强，承载能力仅次于 平面二次包络蜗杆传动而强于圆柱蜗杆传动；

Calculations on Tooth Thickness of Plane Enveloped Worm

平面包络弧面蜗杆 齿厚的计算

The distribution of the flash temperature on the tooth surface and the effects of the inclination angle β of the grinding plane on the flash temperature were analyzed .

并对 齿面闪温分布进行了分析，同时也对最高闪温与工具 平面倾角β的关系进行了分析。

Elastic meshing analysis for tooth profile shaving of plane gear

平面齿轮 齿形修整的弹性啮合分析

Finally through an example the paper get a maximum stress point and stress distribution on a belt tooth and compare them with the solution of fixable plane problem .

最后，通过一个具体算例求出梯形 齿 同步带一个 齿上的最大应力点及应力分布规律并与弹性 平面问题的解进行了比较。

Method of High-Order Lagrange Multiplier and Generalized Variational Principles of Elasticity with More General Forms of Functionals Pinpoint Calculation of Tooth Deflection on Spur Gear by Means of the Method of Complex Variables in Plane Elasticity

高阶拉氏乘子法和弹性理论中更一般的广义变分原理用 平面弹性理论的复变函数解法精确确定直齿轮 轮齿的挠度

Tooth surface equations of the variable tooth thickness plane worm gear transmission are deduced based on the theory of engagement .

利用啮合原理的知识，笔者推导出变 齿厚 平面蜗轮传动副的齿面方程。

The full name of variable tooth thickness plane worm gear transmission is Backlash adjustable plane worm gear with variable tooth thickness enveloping worm transmission which is a new kind of accurate power transmission that is intervenient between traditional motion transmission and power transmission .

变 齿厚 平面蜗轮传动的全称为侧隙可调式变齿厚平面蜗轮包络环面蜗杆传动，它是介于传统运动传动和动力传动之间的一种新型精密动力传动。

Pinpoint Calculation of Tooth Deflection on Spur Gear by Means of the Method of Complex Variables in Plane Elasticity

用 平面弹性理论的复变函数解法精确确定直齿轮 轮齿的挠度

If the normal sec - tion in the center of the tooth line is taken as a tooth measuring and design section when spline hob is designed in a plane meshing the tooth profile error is minimum .

如果以齿纹中点法剖面作为 齿 形检测和设计剖面，用 平面啮合法设计花键滚刀时，则齿形误差最小。