基于原位检测的类直纹面整体式叶轮高效侧铣加工技术研究

提出了一种基于原位检测的类直纹面整体式叶轮曲面的侧铣加工方法。将类直纹面重构为近似直纹面,提出了类直纹面整体式叶轮可侧铣的判定条件;针对非可展直纹面刀轴矢量的求解方法,给出了解析算法;最后对类直纹面叶轮五轴刀路进行了仿真并进行了实际数控加工实验,验证了该算法的正确性。

On the Ruled surfaces in Minkowski 3-space R1^3

Izumiya and Takeuchi （2003） obtained some characterizations for Ruled surfaces. Turgut and Haclsalihoglu （1998） defined timelike Ruled surfaces and obtained some characterizations in timelike Ruled surfaces. Choi （1995） and Jung and Pak （1996） studied Ruled surfaces. This study uses the method in （lzumiya and Takeuchi, 2003） to investigate cylindrical helices and Bertrand curves as curves on timelike Ruled surfaces in Minkowski 3-space R1^3. We have studied singularities of the rectifying developable （surface） of a timelike curve. We observed that the rectifying developable along a timelike curve a is non-singular if and only if a is a cylindrical helice. In this case the rectifying developable is a cylindrical surface.