In this study, an error compensation model is established for improving the machining accuracy of computer numerical control (CNC) machine tools. The error correlations between the various error components of the XY table rail system of the CNC machine tools are studied under the influence of temperature. First, the correlation between the translation error and angle error and the variation law of the two-dimensional Abbe error of the
x
-direction guide rail system are analyzed. Then, an Abbe error calculation model is established for the
y
-axis and
x
-axis guide system error correlation. Finally, the correlation between the
x
-axis and
y
-axis guideway angle errors is verified, and the positioning error compensation effect of the guide rail system is investigated. The experimental results show that the overall error of "positioning error 2" after compensation by using the two-dimensional Abbe error of the workbench shows a decreasing trend; the maximum difference is approximately 3 μm from that of "positioning error 1" after compensation by the traditional method, which accounts for one-third of the total error in the compensated workbench. The established two-dimensional Abbe error model of the guideway system is more suitable for identifying the actual variation principle of the XY worktable error for CNC machine tools. The compensation effect for the worktable linkage positioning error based on the model guideway is better than that based on the traditional compensation method. Thus, this study lays a theoretical foundation for the real-time compensation of CNC machine tool errors and can be used to improve the machining precision and measurement accuracy of on-machine measurement systems.
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