Analysis of interpolator modeling methods for computer numerical control system of metal cutting machines and industrial robots

Abstract

The purpose of the paper is to study interpolator properties and parameters and analyze modeling methods of interpolators for the numerical control system of metal cutting machines and industrial robots. The method of evaluation function is considered and applied for the synthesis of numerical control system interpolators for metal cutting machines and industrial robots. The interpolator is designed for the implementation of trajectories of a working body of a machine-tool or industrial robots set in the control program of the numerical control system. When in operation, the interpolator uses input information that comes from the control program of the numerical control system. Solution of the problem included the development of the simulation algorithms of linear and circular interpolators of the numerical control system of machine-tools or industrial robots by the method of evaluation function. The variants of programs implementing interpolator mathematical models in the language of Matlab M-files are proposed on the basis of these algorithms. The simulation results of linear and circular interpolators of numerical control system of a machine-tool or industrial robots are presented. The efficiency of the developed models and operation algorithms of numerical control system interpolators of a machine-tool or industrial robots is shown. The article outlines the possibility for the detailed study of indicators of the interpolator and ways to improve the latter. Analysis of the simulation results of linear and circular interpolators leads to the conclusion that mathematical models of interpolators correctly reflect their properties.