Optimization of Cutting Conditions for Multi-Pass Operations Considering Probabilistic Nature in Machining Processes

[+] Author and Article Information
K. Iwata

Department of Mechanical Engineering, Kobe University, Kobe, Japan

Y. Murotsu

Department of Naval Architecture, University of Osaka Prefecture, Sakai, Osaka, Japan

F. Oba

Department of Aeronautical Engineering, University of Osaka Prefecture, Sakai, Osaka, Japan

J. Eng. Ind 99(1), 210-217 (Feb 01, 1977) (8 pages) doi:10.1115/1.3439140 History: Received March 19, 1976; Online July 15, 2010


This paper deals with the problem of optimizing the number of passes required together with the cutting speed, the feed, and the depth of cut at each pass for a given total depth of cut to be removed from a workpiece, considering both the probabilistic nature of the objective function and the constraints in the machining processes. Applying the concept of dynamic programming and stochastic programming, the problem is formulated in an analytically tractable form and a new algorithm is developed for determining the optimum value of the cutting speed, feed, depth of cut, and number of passes, simultaneously. For illustration, a typical example is solved to obtain the cost-minimizing cutting conditions in a turning operation, and the effect on the optimum cutting conditions of the various factors such as total depth of cut, uncertainty of the tool life, and constraints are discussed.

Copyright © 1977 by ASME
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