回转误差运动的理论与分析

对回转误差运动的本质进行了讨论·分析了“平动说”和“瞬心说”关于回转轴线的定义和它们各自的力学基础,指出“平动说”源于理论力学中随基点平动分析法,而“瞬心说”是以速度瞬心法为基础的,从理论上推导了静心与回转轴线的平均线、瞬心与瞬心线的数学模型,在此基础上,通过对瞬心位置和静心位置的分析,证明了两种学说从本质上是有一致点的

Analysis of Rotational Error Motion Theory

The essence of the rotational error motion was carried out to counter the domestic debate about the definition of the rotary axis of the rotational error motion over the long period. The definition of the rotary axis and the distinct mechanical basis of the Translational Motion theory and the Instantaneous Center theory were analyzed. The “Translational Motion Theory”origintes from the analysis method of the “Translational Motion Following After Base Point” in the theoretical mechanics. The “Instantaneous Center Theory”is based on the “Speed Instant Center Method”. The mathematical models of the stationary rotational center and the axis average line, the instant center and the instant center line were derived. Based on the analysis of the position of the stationary rotational center and the instant center, the identical views in essence of those two theories were pointed out.