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Abstract
The heat generated by the ball screw feed system will produce thermal errors, which will cause the positioning accuracy to decrease. The thermal simulation modeling of the ball screw feed system is the basis for compensating thermal errors. The current thermal characteristic modeling method simplifies the reciprocating movement of the nut pair on the screw shaft to varying degrees, which leads to a decrease in simulation accuracy. In this paper, the nut is regarded as a moving heat source, and a novel method is adopted to make the moving process of the heat source closer to the actual nut movement process. The finite difference method is used to simulate the temperature field and thermal error of the ball screw feed system under different working conditions. Firstly, based on the heat transfer theory, the heat conduction differential equation of the feed system is established and discretized. The thermal error model of the ball screw feed system is established. Then, the relationship between nut heat source position and operating time is established to simulate nut reciprocating motion. Finally, the temperature and thermal error experiments of the ball screw feed system were carried out, and the temperature experiment results were compared with the simulation results of the finite difference method. The results show that the maximum simulation error of the average temperature in the operating interval is 11.4%, and the maximum simulation error of thermal error is 16.4%, which verifies the validity and correctness of the method. The thermal characteristic modeling method of the ball screw feed system proposed in this paper has a substantial application value for accurately obtaining the temperature field of the feed system.
Highlights
Accepted: 21 October 2021In precision machining, the thermal error accounts for 40% to 70% of the total error of the processed workpiece [1,2]
The movement of the nut is regarded as the movement of the heat source, and the finite difference method is used to simulate the temperature field and source, and the finite difference method is used to simulate the temperature field and thermal error of the ball screw feed system under different working conditions
The experimental results of the temperature field are obtained by the temperature sensors and perimental results of the temperature field are obtained by the temperature sensors and thermal imaging camera
Summary
The thermal error accounts for 40% to 70% of the total error of the processed workpiece [1,2]. When the finite element method is used to analyze the thermal characteristics of the ball screw feed system, the reciprocating motion of the nut on the screw shaft is not considered or simplified as a “step” moving heat source applied in a fixed interval. Based on the consideration of the reciprocating movement of the nut, according to the geometric shape of the ball screw and working conditions, the finite difference method is used to establish the parametric thermal characteristics model of the ball screw feed system. It will provide a new method for modeling the thermal characteristics of the ball screw feed system closer to the nut’s actual moving process. The calculation results are compared with the experimental results to verify the correctness of the established parametric model
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