Line-contact maching of conic surfaces of revolution and Error Analysis

摘要

A new fabrication technique of conic surface of revolution based on line-contact is presented. The shaping theory is analyzed with geometry method. Conic surfaces can be machined based on this method without complex positioning control. Besides, in this method, One type of surface can be obtained with different tools, inversely, One tool can machine different types of surfaces. Both are got by adjusting the angle α between the normal of the tool surface and the revolution axis of the surface. Error analysis is done under one-order approximation. From these formulas, we can got the idea that the transfer coefficients between the shape error of the machined surface and the positioning error, shape error of the ellipse tool are all smaller than one.