Computer-Aided Algorithm for Nonlinear Optimization of Finishing Operations in Machining Using Precision Cutting Tool

Abstract

For computer-aided multi-variant design of machining technologies, it is important to optimize the cutting parameters at the final pass in each technological operation. When carrying out designing procedures, there emerge problems relating to the algorithm of choosing the decision-making method, the objective function, and the regions of feasibility at final machining steps. Linear programming is time-consuming for multi-variant and multi-pass machining, if the algorithm is to be clear. It is known that when simulating the optimal metal-cutting process, the optimization criterion and the system of constraints are nonlinear. Therefore, a computational algorithm can be made significantly more efficient if it is a nonlinear algorithm based on the Lagrange multipliers. Such an approach to design helps simplify automating the computational algorithm for multi-pass single-tool machining with a precision cutting tool (a reamer). In this paper, we consider the method of forming a mathematical model of nonlinear optimization of the processing mode and solving this model using the Visual Basic for Application programming environment from Ms Excel.