tailieunhanh - Kinematic Geometry of Surface Machinin Episode Episode 13

Tham khảo tài liệu 'kinematic geometry of surface machinin episode episode 13', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Accuracy of Surface Generation 403 At the point of intersection P of the straight line rh see Equation and to the torus surface TrP see Equation the equality rh 0Tr P pTr P K is observed. In expended form this equality casts into XQ - th cos 9TrP cos pTr P Yq - th cos 9TrP sin pTr P ZQ th 1 cos cos cos sin cos ụ rTr P sin 9TrP sin ụ sin sin ụ rTr P sinớTrP cos ụ 1 which yields the computation of three parameters 9TrP pTr P and th that specify coordinates of the point P. Finally an analytical expression for the vector rP can be derived. The computed vectors r and rP yield computation of the resultant surface deviation h s h ỉ rQ rP I With the above analysis the final conclusion can be made with respect to the principle of superposition of the elementary surface deviations The principle of superposition of the elementary surface deviations hf and hss is valid if and only if the inequality h s h s Ah s is observed. Here Ah s designates the tolerance on accuracy of computation of the height of the resultant cusps. References 1 doCarmo . Differential Geometry of Curves and Surfaces Prentice Hall Englewood Cliffs nJ 1967. 2 Monge G. Application de lanalyse à la géométrie Bachelier 1850. 3 Radzevich . Conditions of Proper Sculptured Surface Machining Computer-Aided Design 34 10 727-740 2002. 4 Radzevich . Differential-Geometric Method of Surface Generation DrSci thesis Tula Polytechnic Institute 1991. 5 Radzevich . Fundamentals of Surface Generation Rastan Kiev 2001. 6 Radzevich . Generation of Actual Sculptured Part Surface on Multi-Axis NC Machine. Part 1 Izvestiya VUZov. Mashinostroyeniye 5 138-142 1985. 2008 by Taylor Francis Group LLC 404 Kinematic Geometry of Surface Machining 7 Radzevich . Generation of Actual Sculptured Part Surface on Multi-Axis NC Machine. Part 2 Izvestiya VUZov. Mashinostroyeniye 9 141-146 1985. 8 Radzevich . .