Nonlinear Analyses of the Dynamic Properties of Hydrostatic Bearing Systems

Nonlinear analyses of hydrostatic bearing systems are necessary to adequately model the fluid-solid interaction. The dynamic properties of linear and nonlinear analytical models of hydrostatic bearings are compared in this paper. The analyses were based on the determination of the aperiodic border of transient processes with external step loads. The results show that the dynamic properties can be most effectivelyimproved by increasing the hydrostatic bearing crosspiece width and additional pocket volume in a bearing can extend the load range for which the transient process is aperiodic, but an additional restrictor and capacitor (RC) chain must be introduced for increasing damping. The nonlinear analyses can also be used to predict typical design parameters for a hydrostatic bearing.     

静压轴承自控系统的动态特性

为提高精密机床主轴回转精度 ,并进一步为主轴系统动态特性的改善及其优化设计提供理论依据 ,提出了带节流器的静压轴承自控系统动态品质的分析方法。通过对主轴力平衡条件和液体流量连续性方程的分析 ,推导出系统的非线性微分方程组 ,经 Taylor和 L aplace变换后 ,建立了系统的数学模型。通过对其传递函数的描述和动特性计算 ,得出了在外载荷变化情况下系统的过渡过程曲线和对数相频、幅频特性图像 (Bode图 )。利用自控系统稳定性理论对计算结果进行了综合分析 ,评定了静压轴承自控系统的动态品质