任意复杂曲面曲线零件曲率半径的图解法

The Graphic Solution of The Curvature Radius in Any Complex Curved Surface Unit

复杂曲面零件在机械设计中很广泛 ,本文根据微分几何的分析方法 ,研究了曲线在基本三面形上的投影特性 ,得出了空间曲线上某点的曲率等于该曲线在密切面的投影的曲率 ,从而用图解法求出空间曲线在密切平面上的投影及其曲率 ,即求出空间任意曲线的曲率。在实际工程中具有现实意义和较大的推广应用。

Complex curved surface unit is very common in machine designing.The essay studies the projecting character of the cure on the basically three-side by way of analysis in differential calculus and geometry comes to conduction that the curvature of a certain point on the space curve is that the curvature of a certain point on the space curve is that of the project of the same survey on the tangent plane and arrives at a method through which the project of the space curve on the tangent plane and the curvature can be obtained the curvature of any apace curves.In actual engineering this method is very important and practical.