改进型流量误差反馈迭代法及其空气静压轴承应用

Flow-difference feedback iteration method for aerostatic bearings

空气静压轴承以空气作为润滑剂,尤其适用于高速应用场合。该文基于Reynolds方程,在极坐标条件下推导出止推空气静压轴承的有限差分模型。提出改进型流量误差反馈迭代法并应用于止推空气静压轴承的迭代计算中,采用伴随迭代随时更新的流量相对误差作为反馈变量,并随时修正速度因子。研究改进型流量误差迭代法的收敛特性,具体分析速度因子和迭代初值对收敛速度的影响。结果表明:迭代初值对收敛速度影响不明显,改进型方法可以增加速度因子裕度。通过研究轴承节流参数对轴承性能的影响表明:配合良好的节流孔和气隙可以显著提升轴承刚度。

Aerostatic bearings using air as the lubricant are especially useful in high-speed situations. This study of aerostatic bearings used a finite difference model of an aerostatic thrust bearing in polar coordinates based on the Reynolds equation with an improved flow-difference feedback iteration method. The relative error in the flow equilibrium updated by the iteration is used as the feedback variable to rectify the convergence rate factors. The initial value does not strongly influence the convergence rate, while the improved flow-difference feedback iteration method increases the effectiveness of the convergence rate factors. An analysis of the influence of the throttle parameter on the bearing performance shows that the proper orifices and clearance significantly improve the hearing stiffness.