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EN
Thermal error always exists in a machine tool and accounts for a large part of the total error in the machine. Thermal displacement in X-axis on a CNC lathe controlled based on a rapid heating system is presented in this paper. Positive Temperature Coefficient (PTC) heating plates are installed on the X-axis of the machine. A control temperature system is constructed for rapid heating which further helps the thermal displacement to quickly reach stability. The system then continuously maintains stable compensation of the thermal error. The presented rapid heating technique is simpler than the compensation of machine thermal errors by interference in the numerical control system. Results show that the steady state of the thermal displacement in the X-axis can be acquired in a shorter time. In addition, thermal errors in constant and varying working conditions could be significantly reduced above 80% and 60%, respectively, compared to those without using the rapid heating. Therefore, the proposed method has a high potential for application on the CNC lathe machine for improving its precision.
EN
In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work.
PL
Praca prezentuje wyniki badań cieplnych sterowanej numerycznie osi posuwów szybkich. Podczas badań analizowano przebieg temperatury wybranych podzespołów dla różnych zakresów ruchu stołu i szybkości posuwu. W wyniku przeprowadzonych badań stwierdzono istotny wpływ odkształceń cieplnych śruby tocznej na dokładność pozycjonowania stołu. Wykazano jednocześnie, iż zastosowanie sprzężenia zwrotnego bezpośredniego realizowanego za pomocą liniału pomiarowego pozwala na skuteczną kompensację odkształceń cieplnych śruby tocznej na dokładność obrabiarki.
EN
This paper presents the results of thermal research of numerically controlled high speed feed axis. During the research, the temperature of selected subassemblies for different range of feed motion of table and different feed rate was analyzed. This paper presents significant influence of ball screw thermal displacements on positioning accuracy of the table. It was found that application of direct feedback realized by linear measuring system allows for effective compensation of thermal displacement of ball screw for effective compensation of thermal displacement of ball screw on machine tool accuracy.
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