機(jī)電專業(yè)畢業(yè)設(shè)計(jì)中英文翻譯資料--圓柱凸輪的設(shè)計(jì)和加工(已修改)
2025-06-19 19:21 本頁面
【正文】 英文資料翻譯英文原文： 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 1parameter family of surfaces,a cam profile with a translating conical follower can be easily designed once the followermotion 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 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 . Keywords : 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 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 and 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 mon 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 the problem of designing cylindricalcam mechanisms by a puter 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 the effective cylinder. Instantaneous screwmotion theory4 has been applied to the design of cam mechanisms. GonzalezPalacios et used the theory to generate surfaces of planar, spherical, and spatial indexing cam mechanisms in a unified framework. GonzalezPalacios and Angeles5 again used the theory to determine the surface geometry of spherical camoscillating rollerfollower 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 solving a constrained optimization problem. The research presented in this paper shows q new, easy procedure for determining the cylindricalcam profile equations and providing the cutter path required in the machining process. This is acplished by the sue of the theory of envelopes for a 1parameter family of surfaces described in parametric form7 to define the cam profiles. Hanson and Churchill8 introduced the theory of envelopes for a 1parameter family of plane curves in implicit form to determine the equations of platecam profiles Chan and Pisano9 extended the envelope theory for the geometry of plate cams to irregularsurface follower systems. They derived an analytical description of cam profiles for general camfollower systems, and gave an example to demonstrate the method in numerical form. Using the theory of envelopes for a 2parameter family of surfaces 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 camfollower positions when the cam rotates for a plete cycle.THEORY OF ENVELPOES FOR 1PARAMETER FAMILY OF SURFACES IN PARAMETRIC FORMIn 3D xyz Cartesian space , a 1parameter family of surfaces can be given in parametric form as (1)where ζ is the parameter of the family, and u1, u 2
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