Abstract Machining error in machining processes arises due to several factors. The tilt angle of the spindle of the machine tool is one of the important factors that directly affect the shape error, surface quality, and roughness of the machined part. In order to better analyze the effect of microscale effects on the tilt angle of a hydrostatic spindle, a fluid control model at the microscale is introduced into the traditional Reynolds equation. The static performance characteristics of hydrostatic bearings with four and eight pads under the influence of velocity slip are obtained. The results show that the existence of velocity slip improves the stiffness of the bearing. However, the influence of velocity slip on the tilt angle is obvious, and the tilt angle decreases as the increase of velocity slip. The experimental results verify the existence of velocity slip at the microscale indirectly and provide a theoretical basis for the study of the performance of liquid hydrostatic bearings at the microscale.

中文翻译：

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静压主轴倾角受微尺度效应影响

摘要 加工过程中的加工误差是由多种因素引起的。机床主轴的倾角是直接影响被加工零件的形状误差、表面质量和粗糙度的重要因素之一。为了更好地分析微尺度效应对静压主轴倾角的影响，在传统雷诺方程中引入了微尺度流体控制模型。得到了速度滑差影响下四轴瓦和八轴瓦静压轴承的静态性能特性。结果表明，速度滑差的存在提高了轴承的刚度。但速度滑移对倾角的影响很明显，倾角随着速度滑移的增加而减小。