基于CAD软件的齿轮齿廓渐开线的作法

Method of making gear profile involute in CAD software

针对齿轮传动件一直没有实现动态仿真的问题,根据机械设计中标准齿轮渐开线的定义,首先建立了圆柱齿轮齿廓和圆锥齿轮齿廓渐开线的数学模型,再采用曲线拟合的方法,用Solidworks软件做出了圆柱齿轮齿面渐开线和蜗杆的齿面渐开线,用Auto-CAD软件做出圆锥齿轮齿面的球面渐开线;并对用数学模型找点和曲线拟合这两种方法进行了简单的比较。研究结果表明,用曲线拟合的方法比用数学模型找点的方法做齿轮渐开线更直观、更精确。该方法对齿轮的3D模拟和实际设计加工有较大参考与借鉴价值。

Aiming at the problem of the moving parts of the gear not to realize the dynamic simulation,according to the definition of the standard gear involute in machine design,this research established the mathematical model of the involute for the cylindrical gears profile and the gear profile of the cone.Then the involute is maded for the cylindrical gear＇s surface and the surface of the worm gear through the method of curve fitting by Solidworks software.And the involute is maded for the sphere surface of cone gear by AutoCAD software.And it carried on the simple comparison to the mathematical model looked for the spot with curve fitting.The results indicate that it is more direct and more accurate to use the method of curve fitting than the mathematical model.It is very practical for the actual design and processing of the 3D gear＇s simulation.