Computer-Aided Algorithm for Nonlinear Optimization of Pre-machining Using Measuring Instrument

  • M. G. Galkin
  • A. S. SmaginEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


In a computer-aided multivariant design of processes, an important problem consists in optimizing the machining parameters for making holes in solid workpieces. When solving this problem, there arise such problems as choosing solution methods and optimization criteria as well as determining the scope of acceptable solutions. For instance, if using a linear programming algorithm, one has to simplify their solutions which are acceptable if computational capacities are limited. Due to the fact that, when describing an optimal metal cutting process with different machining methods, both the target function and the system of constraints are nonlinear; it is, therefore, obvious that the most acceptable computational algorithm consists in solving a nonlinear programming problem based on the method of Lagrange multipliers. The paper dwells upon automating this particular problem for making holes in a solid material when a measuring tool is used for machining.


Automation Computer aid Process Optimizing cutting parameters Method of Lagrange multipliers 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Ural Federal UniversityYekaterinburgRussia

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