机电专业中英文翻译资料圆柱凸轮的设计和加工大学论文.docx

1、机电专业中英文翻译资料圆柱凸轮的设计和加工大学论文英文资料翻译英文原文：Design and machining of cylindrical cams with translating conical followers By DerMin Tsay and Hsien Min Wei A simple approach to the profile determination and machining of cylindrical cams with translating conical followers is presented .On the basis of the theor

2、y of envelopes for a 1-parameter family of surfaces,a cam profile with a translating conical follower can be easily designed once the follower-motion program has been given .In the investigation of geometric characteristics ,it enables the contact line and the pressure angle to be analysed using the

3、 obtained analytical profile expressions .In the process of machining ,the required cutter path is provided for a tapered endmill cutter ,whose size may be identical to or smaller than that of the conical follower .A numerical example is given to illustrate the application of the procedure . Keyword

4、s : cylindrical cams, envelopes , CAD/CAMA cylindrical cam is a 3D cam which drives its follower in a groove cut on the periphery of a cylinder .The follower, which is either cylindrical or conical, may translate or oscillate. The cam rotates about its longitudinal axis, and transmits a transmits a

5、translation or oscillation displacement to the follower at the same time. Mechanisms of this type have long been used in many devices, such as elevators, knitting machines, packing machines, and indexing rotary tables. In deriving the profile of a 3Dcam, various methods have used. Dhande et al.1 and

6、 Chakraborty and dhande2 developed a method to find the profiles of planar and spatial cams. The method used is based on the concept that the common normal vector and the relative velocity vector are orthogonal to each other at the point of contact between the cam and the follower surfaces. Borisov3

7、 proposed an approach to the problem of designing cylindrical-cam mechanisms by a computer algorithm. By this method, the contour of a cylindrical cam can be considered as a developed linear surface, and therefore the design problem reduces to one of finding the centre and side profiles of the cam t

8、rack on a development of the effective cylinder. Instantaneous screw-motion theory4 has been applied to the design of cam mechanisms. Gonzalez-Palacios et al.4 used the theory to generate surfaces of planar, spherical, and spatial indexing cam mechanisms in a unified framework. Gonzalez-Palacios and

9、 Angeles5 again used the theory to determine the surface geometry of spherical cam-oscillating roller-follower mechanisms. Considering machining for cylindrical cams by cylindrical cutters whose sizes are identical to those of the followers, Papaioannou and Kiritsis6 proposed a procedure for selecti

10、ng the cutter step by solving a constrained optimization problem. The research presented in this paper shows q new, easy procedure for determining the cylindrical-cam profile equations and providing the cutter path required in the machining process. This is accomplished by the sue of the theory of e

11、nvelopes for a 1-parameter family of surfaces described in parametric form7 to define the cam profiles. Hanson and Churchill8 introduced the theory of envelopes for a 1-parameter family of plane curves in implicit form to determine the equations of plate-cam profiles Chan and Pisano9 extended the en

12、velope theory for the geometry of plate cams to irregular-surface follower systems. They derived an analytical description of cam profiles for general cam-follower systems, and gave an example to demonstrate the method in numerical form. Using the theory of envelopes for a 2-parameter family of surf

13、aces in implicit form, Tsay and Hwang10 obtained the profile equations of camoids. According to the method, the profile of a cam is regarded as an envelope for the family of the follower shapes in different cam-follower positions when the cam rotates for a complete cycle.THEORY OF ENVELPOES FOR 1-PA

14、RAMETER FAMILY OF SURFACES IN PARAMETRIC FORMIn 3D xyz Cartesian space , a 1-parameter family of surfaces can be given in parametric form as (1)where is the parameter of the family, and u1, u 2, are the parameters for a particular surface of the family. Then, the envelope for the family described in

15、 Equation 1 satisfies equation 1 and the following Equation: (2)where the right-hand side is a constant zero7. Litvin showed the proving process of the theorem in detail. If we can solve Equation2 and substitute into equation1to eliminate one of the three parameters u1, u 2, and , we may obtain the

16、envelope in parametric form. However, one important thing should be pointed out here. Equations 1 and 2 can also be satisfied by the singular points of surfaces described below I the family, even if they do not belong to the envelope. Points which are regular points of surfaces of the family and satisfy Equation 2 lie on the envelope. The condition for the singular points of a surface is discussed here. a parametric representation of a surface is