MODULE OF PROCESSING EXPERIMENTAL THERMAL CHARACTERISTICS OF MACHINE TOOLS IN REAL-TIME MODE USING HIGH ORDER DERIVATIVES

Abstract

The article presents processing module of experimental thermal characteristics of machine tools in real time using high order derivatives. It is developed in a high level programming language. This module is a part of automated system of tests and diagnostics of machines thermal state. The module is equipped with a graphical user interface; it works in real time, allows performing procedures for smoothing experimental thermal characteristics and determining their prognostic values. This allows building curves of speed, acceleration and sharpness of temperature change over the time. The developed software module implements a new algorithm based on the Horner’s method. The practice of developing algorithmic software shows that the chosen method is very convenient and effective for machine implementation, due to the absence of a division operation at each computational step. It is experimentally confirmed that the total costs of performing the calculations of high order derivatives of an arbitrary degree polynomial using the Horner’s method according to the described algorithm are acceptable for real-time calculations on a standard personal computer. Data temperature and temperature movements of the machine working bodies can be processed using the developed algorithms. In addition, this algorithm allows calculating the value of the approximating polynomial and simultaneously obtaining the values of all its derivatives at a given point. This allows to solve the problem of "shift in time by step" of the position of characteristic points.