数控机床的热误差建模与补偿研究

Research on CNC Machine Tools Thermal Error Modeling and Compensation

数控机床的热变形误差是影响其加工精度的主要因素。针对当前机床热误差难以解决的问题,提出一种融合模糊聚类理论、灰色关联理论和多元线性回归理论的热误差建模及补偿原理,通过应用于实验室自主研制的AGPM,经机床温度场的测点优化分析、多元线性回归求解,建立了精确的热误差补偿模型。经补偿验证,该原理理论正确、简单易行、稳定可靠,可以大幅减小机床的热变形误差。

The thermal deformation error of CNC machine tools is the main factor affecting the working accuracy. In view of the problem that current thermal error of machine is difficult to solve, a thermal error modeling and compensation principle was proposed combined with the fuzzy clustering theory, grey relation theory and multivariate linear regression theory. By the self-developed AGPM in laboratory, the accurate thermal error compensation model was established through the optimal analysis of the temperature field measure points and the multiple linear regression compensation model solving. Through compensation verification, the principle is correct, simple, stable and reliable. The thermal deformation error of machine tool can be significantly reduced by using it.