Application of the Theory of Envelope to the Determination of Camoid Profiles With Translating Followers

[+] Author and Article Information
Der Min Tsay, Guan Shyong Hwang

Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, Republic of China

J. Mech. Des 116(1), 320-325 (Mar 01, 1994) (6 pages) doi:10.1115/1.2919366 History: Received May 01, 1992; Online June 02, 2008


A new, simple procedure employing the theory of envelope for a family of surfaces with two independent parameters to determine the profiles of camoids with translating spherical followers is presented. Given the follower motion program, the method enables the kinematic relationship for the camoid surface coordinates to be easily generated in an analytical expression. The results are then compared to those obtained by utilizing the principle of contact point between the camoid and the follower surfaces. The pressure angle is analyzed, and the cutter paths required in the machining process are also produced. A numerical example is given to illustrate the application of the approach.

Copyright © 1994 by The American Society of Mechanical Engineers
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