主轴径向平面运动的几何分析

GEOMETRIC ANALYSIS ON SPINDLE RADIAL PLANE MOTION

推导出由标准球球心径向误差运动Ｆ（ｔ）及其ｇ次谐波Ｆｇ入（ｔ）所产生的表征主轴径向平面运动特性的四种曲线方程，并把他们写成向量形式，这将使几何分析变得比较方便。阐明了Ｆｇ（ｔ）产生的静、动瞬心线（皆为圆）之间的几何系──内切还是外切，以及Ｆｇ（ｔ）产生的静、动轮转曲线的几何形状──内摆线还是外摆线。论述了只要测得Ｆ（ｔ）便可精确地得到任意点的轮转曲线，从而对机床加工圆度误差能够进行正确的预测和评定。

Four kinds of curve equation are derived which are caused by the radial error motion F(t) of master sphere center and g──harmonic Fg(t) of F(t). The equations indicate characteristic of spindle radial Plane motion.They are expressed in vector form, this will make the geometric analysis of the curves more convenient. The geometric relationship between stationary and moving centrodes(both are circles)Produced by Fg(t) of F(t)──inside tangency or outside tangency, and the shape of rotary curves──hypocycloid or epicycloid are demonstrated. It is expounded that as long as F(t) is Picked, rotary curve of any Point can be accurafely obtained, therefore mechining roundness error of machine tools can be correctly forecasted and evaluated.