Advanced Modelling of Thermally Induced Displacements and Its Implementation into Standard CNC Controller of Horizontal Milling Center

This paper is a continuation of scientific work on advanced modelling of thermally induced displacements based on thermal transfer functions (TTF). A mathematical model using TTF was implemented into a standard CNC controller of horizontal milling center to compensate for thermal errors in real time. The inputs of the compensation algorithm are spindle rotational speed and the temperatures of the machine structure. It was achieved a reduction of thermal errors of more than 75% of the initial value in various working cycles. Moreover, the results of the TTF model were compared with 2 models obtained via MLR as a case study.