Constrained Cutting Rate-Tool Life Characteristic Curve, Part 2: Convex Programs

[+] Author and Article Information
C. L. Hough

Dept. of Mechanical Engineering, Texas A&M University, College Station, Texas

Y. Chang

Dept. of Mechanical Engineering, The University of Suwon, Korea

J. Manuf. Sci. Eng 120(1), 160-165 (Feb 01, 1998) (6 pages) doi:10.1115/1.2830093 History: Received October 01, 1993; Revised January 01, 1997; Online January 17, 2008


Based on the concept in Part 1, Theory and General Case, algorithms to determine the constrained R-T characteristic curve are established for convex constrained machining economics problems. The first algorithm is for posynomial problems with the linear-logarithmic tool life equation. The R-T curve may be determined by applying the simplex method to the log-dual problems. Sensitivity analysis of the optimal simplex tableau enables obtaining the loci of optima easily. The second algorithm is for the quadratic posylognomial problems with quadratic-logarithmic tool life equation using the property of primal-dual feasibility. End milling examples constructed in Part 1 illustrate the algorithm comparing to the exhaustive method.

Copyright © 1998 by The American Society of Mechanical Engineers
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