spherical involute

Research on the Movement and Controlling of the Spiral Bevel Gear with Spherical Involute Profil Machining

球面渐开线齿形弧齿锥齿轮加工所需运动及控制研究

According to this situation, analysed and deduced the spherical involute equations based on the meshing theory.

针对这一情况，根据啮合原理，分析推导了球面渐开线方程。

It realizes gears 3-D parametric modeling. Secondly, on the study of the bevel gears meshing theory, mathematical model are established, both of spherical involute and straight bevel gear.

其次，在研究锥齿轮啮合原理的基础上，建立了球面渐开线的数学模型和直齿圆锥齿轮的数学模型，实现了球面渐开线的参数化建模，完成了直齿圆锥齿轮的三维参数化建模。

In addition, the tooth profile of spiral bevel gear is spherical involute and the tooth surface is irregular space curved face which make it difficult to establish the accurate 3D models. The simulation analysis of meshing and optimization design of spiral bevel gears is greatly hindered.

同时弧齿锥齿轮齿廓形状为复杂的球面渐开线，齿面也为不规则的空间曲面，三维几何精确建模较为困难，导致其啮合仿真分析以及局部优化设计的相关研究工作难以开展和深入。

Involute spherical gear mechanism ′ s modeling and kinetics simulation

渐开线球齿轮机构造型及其运动学仿真

Supported by the National Fund Of Natural Science, we bring forward a new type of spherical gear with ring involute tooth, and study the drive principle of it systemfcally;

在国家自然科学基金的资助下，本文提出了一种全新的渐开线环形齿球齿转机构，并系统研究了这种新型齿轮传动原理；

This model is an accurate parameter model for processing in strict spherical involute theory.

在主减速器锥齿轮三维建模过程中严格按照球面渐开线理论，建立精确的参数化模型。

One new kind of invented transmission type of spherical gear called ring involute spherical gear mechanism is introduced.

介绍了一种新发明的球齿轮传动&渐开线环形齿球齿轮机构。

DYNAMIC DISPLAY AND GRAPHICAL ANALYSIS FOR SPHERICAL INVOLUTE AND BEVEL GEAR PROFILE Analysis of the Distance between the Two Points on Spherical Surface

球面渐开线和圆锥齿轮齿形的动态显示与图形分析试论球面距离

This text synopsis elaborated to use the Pro/ E to realize the involute spherical gear mechanism ′ s accurated modeling and kinetics simulation.

阐述用Pro/E实现渐开线球齿轮机构的精确三维造型方法，并对球齿轮机构进行运动学仿真。

This article introduces the method to calculate arc tooth thickness of bevel gear by spherical involute equate, and indicates the theory error to calculate arc tooth thickness by equivalent cylindrical gear with example.

本文介绍利用球面渐开线方程计算圆锥齿轮背锥齿形弧齿厚的方法，并通过实例指出利用当量圆柱齿轮计算弧齿厚的理论误差。

We invent the spherical gear with ring involute tooth.

发明了渐开线环形齿球齿轮机构。