I. Introduction
On the basis of mechanical ruling technology, the mechanical repeated ruling process is to carry on the secondary ruling processing to the groove which is formed by the first ruling. This mean that the total ruling depth of a single mechanical ruling process is decomposed into a combination of "primary and secondary ruling depth" for repeated ruling of the groove. Many times rough, finishing has always been an important means to obtain high-quality machined surface. In 2010, Chen Dingyi et al [1] realized the efficient milling of sixsided drum mirror by installing three (thick, semi-fine, fine) knives in different radius of diamond milling cutter. In 2009, Yan Jiwang [2] and others of Japan studied the machining of coarse and fine secondary V-shaped groove with different cutting depth, which effectively avoided the phenomenon of flying edge and periodic bond fluctuation of non-electroplated NiP machined surface, and obtained high-quality micro-array structure; At the same time, the lower machining allowance in secondary machining will reduce the temperature rise of tool wear. In 2011, Sunil Kumar et al. of India used genetic algorithm to optimize the process parameters of multi-pass end milling, and obtained better surface roughness and tool life than single-pass milling [3]. Therefore, from the point of view of precision, high quality machined surface can be obtained by repeated machining with optimized machining allowance.