机电专业毕业设计中英文翻译资料--圆柱凸轮的设计和加工.doc
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1、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 theory of envelopes for a 1-pa
2、rameter 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 obtained analytical prof
3、ile 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 . Keywords : cylindrical cams, env
4、elopes , 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 translation or oscillatio
5、n 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 Chakraborty and dhande2
6、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 proposed an approach to
7、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 track on a development of
8、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 Angeles5 again used the
9、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 selecting the cutter step by sol
10、ving 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 envelopes for a 1-paramete
11、r 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 envelope theory for the geo
12、metry 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 surfaces in implicit form, Ts
13、ay 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-PARAMETER FAMILY OF SURFACE
14、S 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 Equation 1 satisfies equ
15、ation 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 envelope in parametric fo
16、rm. 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 th
17、e envelope. The condition for the singular points of a surface is discussed here. a parametric representation of a surface is (3)where u1 and u 2 are the parameters of the surface. A point of the surface that corresponds to in a given parameterization is called a singular point of the parameterizati
18、on. A point of a surface is called singular if it is singular for every parameterization of the surface7. A point that is singular in one parameterization of a surface may not be singular in other parameterizations. For a fixed value of , equations 1 and 2 represent, in general, a curve on the surfa
19、ce which corresponds to this value of the parameter. If this is not a line of singular points, the curve slso lies on the envelope. The surface and the envelope are tangent to each other along this curve. Such curves are called characteristic lines of the family7. they can be used to find the contac
20、t lines between the surfaces of the cylindrical cam and the follower.THEORY OF ENVELOPES FOR DETERMINATION OF CYLINDRICAL-CAM PROFILESOn the basis of the theory of envelopes, the profile of a cylindrical cam can be regarded as the envelope of the family of follower surfaces in relative positions bet
21、ween the cylindrical cam and the follower while the motion of cam proceeds. In such a condition, the input parameters of the cylindrical cam serve as the family parameters. Because the cylindrical or conical follower surface can be expressed in parametric form without difficulty, the theory of envel
22、opes for a 1-parameter of surfaces represented in parametric form (see equations 1 and 2) is used in determining the analytical equations of cylindrical-cam profiles. As stated in the last section, a check for singular points on the follower surface is always needed. Figure 1a shows a cylindrical-ca
23、m mechanism with a translating conical follower. The axis which the follower translates along is parallel to the axis of rotation of the cylindrical cam. a is the offset, that is, the normal distance between the longitudinal axis of the cam and that of the follower. R and L are the radius and the ax
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