This paper describes a novel modeling method for determining the thermal deformation coefficient of the moving shaft of a machine tool. Firstly, the relation between the thermal deformation coefficient and the thermal expansion coefficient is expounded, revealing that the coefficient of thermal deformation is an important factor affecting the precision of moving shaft feed systems. Then, thermal errors and current boundary and machining conditions are measured using sensors to obtain the first set of parameters for a thermal prediction model. The dynamic characteristics of the positioning and straightness thermal errors of the moving axis of a machine tool are analyzed under different feed speeds and mounting modes of the moving shaft and bearing. Finally, the theoretical model is derived from experimental data, and the axial and radial thermal deformation coefficients at different time and positions are obtained. The expressions for the axial and radial thermal deformation of the moving shaft are modified according to theoretical considerations, and the thermal positioning and straightness error models are established and experimentally verified. This modeling method can be easily extended to other machine tools to determine thermal deformation coefficients that are robust and self-correcting.

中文翻译：

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龙门铣床移动轴实时变形系数的热误差回归建模

本文介绍了一种确定机床移动轴热变形系数的新颖建模方法。首先，阐述了热变形系数与热膨胀系数之间的关系，揭示了热变形系数是影响动轴进给系统精度的重要因素。然后，使用传感器测量热误差，电流边界和加工条件，以获得用于热预测模型的第一组参数。分析了机床在不同进给速度，移动轴和轴承的安装方式下机床运动轴的定位和直线度热误差的动态特性。最后，理论模型是根据实验数据得出的，得到了不同时间，不同位置的轴向和径向热变形系数。根据理论考虑修改了动轴轴向和径向热变形的表达式，建立了热定位和直线度误差模型并进行了实验验证。这种建模方法可以轻松地扩展到其他机床，以确定坚固且可自我校正的热变形系数。