CONSTRAINED CUTTING RATE-TOOL LIFE CHARACTERISTIC CURVE, PART 2 - CONVEX-PROGRAMS

Authors
Citation
Cl. Hough et Y. Chang, CONSTRAINED CUTTING RATE-TOOL LIFE CHARACTERISTIC CURVE, PART 2 - CONVEX-PROGRAMS, Journal of manufacturing science and engineering, 120(1), 1998, pp. 160-165
Citations number
10
Categorie Soggetti
Engineering, Mechanical","Engineering, Manufacturing
ISSN journal
10871357
Volume
120
Issue
1
Year of publication
1998
Pages
160 - 165
Database
ISI
SICI code
1087-1357(1998)120:1<160:CCRLCC>2.0.ZU;2-X
Abstract
Based on the concept in Part 1, Theory and General Case, algorithms to determine the constrained R-T characteristic curve are established fo r convex constrained machining economics problems. The first algorithm is for posynomial problems with the linear-logarithmic tool life equa tion. The R-T curve may be determined by applying the simplex method t o the log-dual problems. Sensitivity analysis of the optimal simplex t ableau enables obtaining the loci of optima easily. The second algorit hm is for the quadratic poslygnomial problems with quadratic-logarithm ic tool life equation using the property of primal-dual feasibility. E nd milling examples constructed in Part 1 illustrate the algorithm com paring to the exhaustive method.