Considering grinding a cam with numerical control（NC）cam grinder,a mathematical model should be estab- lished with the unified parameter based on the original cam-lobe lift data to describe the movement of wheel and...Considering grinding a cam with numerical control（NC）cam grinder,a mathematical model should be estab- lished with the unified parameter based on the original cam-lobe lift data to describe the movement of wheel and establish the relation between the wheel center coordinate,the measuring angle and workpiece’s spindle rotation angle.By analyzing,the grinding wheel can be regarded as different followers.To the planar and roller followers,different mathematical models are established, but they can be unified in Eqs.（17）of this paper with the different value of the roller radius r<sub>1</sub>.And also the model is suit for the edged follower when assuming the roller radius r<sub>1</sub>=0.Experimental verification was done with TKM120 CNC/CBN grinder with NC sets’ interpolation according to the model,which shows that high precision parts can be manufactured and this mathemat- ical model can be practically applied for NC cam grinder.展开更多
Tolerance is imperative for seamless integration of CAD/CAM(Computer Aided Disign/Computer Aided Manufacture) which is just a text attribute and has no semantics in present CAD systems. There are many tolerance types,...Tolerance is imperative for seamless integration of CAD/CAM(Computer Aided Disign/Computer Aided Manufacture) which is just a text attribute and has no semantics in present CAD systems. There are many tolerance types, the relations between which are very complicated. In addition, the different principles of tolerance make study of tolerance difficult; and there may be various meanings or interpretation for the same type of tolerance because of the literal definition. In this work, latest unambiguous mathematical definition was applied to study, explain and clarify: (1) the formation and representation of tolerance zone, and (2) the formation and representation of variational elements; after which, the mathematical models of symmetry of different tolerance principles and different interpretations were derived. An example is given to illustrate the application of these models in tolerance analysis.展开更多
The manufacturing course of blade-root precise mill for processing the blade installing notch on rotors and the corresponding mathematical model are introduced. The reliability of this mathematical model is illustrate...The manufacturing course of blade-root precise mill for processing the blade installing notch on rotors and the corresponding mathematical model are introduced. The reliability of this mathematical model is illustrated by a practical example.展开更多
0 IntroductionConsidering the approximation of traditional design scheme on gear shaping cutter,we have given a new design model in paper[1],derived its CAD geometric model andverified that the new scheme is superior ...0 IntroductionConsidering the approximation of traditional design scheme on gear shaping cutter,we have given a new design model in paper[1],derived its CAD geometric model andverified that the new scheme is superior to the traditional one,but whether or not thenew designed cutter can be carried out with ordinary grinder is worth discussing fur-ther.This paper is to verifty the practicability of paper[1].展开更多
A Center offset theory and corresponding mathematical model are put forward based on the midpoint-midline method presented by the author[1]. The numerical simulation shows that the qualified tooth length of the cuttin...A Center offset theory and corresponding mathematical model are put forward based on the midpoint-midline method presented by the author[1]. The numerical simulation shows that the qualified tooth length of the cutting tool is increased evidently by applying the center offset theory.展开更多
This paper studies some key technologies of CNC system for cam grinding. The mathematical motion model for cam grinding is established according to the harmony of reciprocating motion of the grinding wheel and the rot...This paper studies some key technologies of CNC system for cam grinding. The mathematical motion model for cam grinding is established according to the harmony of reciprocating motion of the grinding wheel and the rotating motion of the workpiece. The method of using the linear servomotor to accomplish the grinding wheel tracking is developed and the dynamic model of the system is analyzed. Then the cross-coupled biaxial error compensation model is proposed. Finally, the hardware and software of the control system are designed based on open architecture. Some algorithms , such as spline fitting and interpolation for cam contour, velocity control and feed control, are presented to improve grinding precision.展开更多
文摘Considering grinding a cam with numerical control（NC）cam grinder,a mathematical model should be estab- lished with the unified parameter based on the original cam-lobe lift data to describe the movement of wheel and establish the relation between the wheel center coordinate,the measuring angle and workpiece’s spindle rotation angle.By analyzing,the grinding wheel can be regarded as different followers.To the planar and roller followers,different mathematical models are established, but they can be unified in Eqs.（17）of this paper with the different value of the roller radius r<sub>1</sub>.And also the model is suit for the edged follower when assuming the roller radius r<sub>1</sub>=0.Experimental verification was done with TKM120 CNC/CBN grinder with NC sets’ interpolation according to the model,which shows that high precision parts can be manufactured and this mathemat- ical model can be practically applied for NC cam grinder.
文摘Tolerance is imperative for seamless integration of CAD/CAM(Computer Aided Disign/Computer Aided Manufacture) which is just a text attribute and has no semantics in present CAD systems. There are many tolerance types, the relations between which are very complicated. In addition, the different principles of tolerance make study of tolerance difficult; and there may be various meanings or interpretation for the same type of tolerance because of the literal definition. In this work, latest unambiguous mathematical definition was applied to study, explain and clarify: (1) the formation and representation of tolerance zone, and (2) the formation and representation of variational elements; after which, the mathematical models of symmetry of different tolerance principles and different interpretations were derived. An example is given to illustrate the application of these models in tolerance analysis.
文摘The manufacturing course of blade-root precise mill for processing the blade installing notch on rotors and the corresponding mathematical model are introduced. The reliability of this mathematical model is illustrated by a practical example.
基金Supported by Science Foundation of Heilonjiang Province
文摘0 IntroductionConsidering the approximation of traditional design scheme on gear shaping cutter,we have given a new design model in paper[1],derived its CAD geometric model andverified that the new scheme is superior to the traditional one,but whether or not thenew designed cutter can be carried out with ordinary grinder is worth discussing fur-ther.This paper is to verifty the practicability of paper[1].
文摘A Center offset theory and corresponding mathematical model are put forward based on the midpoint-midline method presented by the author[1]. The numerical simulation shows that the qualified tooth length of the cutting tool is increased evidently by applying the center offset theory.
文摘This paper studies some key technologies of CNC system for cam grinding. The mathematical motion model for cam grinding is established according to the harmony of reciprocating motion of the grinding wheel and the rotating motion of the workpiece. The method of using the linear servomotor to accomplish the grinding wheel tracking is developed and the dynamic model of the system is analyzed. Then the cross-coupled biaxial error compensation model is proposed. Finally, the hardware and software of the control system are designed based on open architecture. Some algorithms , such as spline fitting and interpolation for cam contour, velocity control and feed control, are presented to improve grinding precision.
