This paper presents experimental and theoretical studies used to assess the dynamic performance of open-type constant flow hydrostatic bearings. A nonlinear dynamic model accounting for the compressibility effect, the squeeze effect, and the hydrostatic effect of hydrostatic fluid for the analytical perdition of the step response is proposed. Moreover, an innovative point-to-point contact step excitation setup is designed. In addition, a test rig is developed to measure the step response of the hydrostatic bearings by removing the imposed displacement within 0.0002 second. The experimental results are in good agreement with the theoretical results. The results show that the maximum dynamic displacement is twice the imposed displacement. Furthermore, the settling time of the step response is related to the inlet flow rate, irrespective of the imposed displacement.
| INTRODUCTIONHydrostatic bearings are widely used in ultraprecision machine tools. Compared with traditional bearings, their main advantages are their low friction coefficient, high stiffness, and high damping. As is widely known, the dynamic characteristics of hydrostatic bearings affect the stability of machine tool worktables and the quality of the workpieces. To assess the dynamic performance of hydrostatic bearings, dynamic model solutions are investigated. The problem of determining how to establish an accurate equation based on the experimental results has attracted much research interest.Many researchers evaluate the dynamic performance of hydrostatic bearings starting with their stiffness and damping. Essentially, the time-dependent Reynolds equation and the flow equation must be solved by applying the finite difference method or the finite element method to obtain the dynamic pressure and the dynamic force. Additionally, the stiffness and damping coefficients of the hydrostatic bearing are obtained by expanding the Taylor series of the oil film force of the bearing in the steady-state equilibrium position. 1-5 However, the influence of fluid compressibility on stiffness and damping is not taken into account in these papers.In practical applications, air ingestion into the oil film through the oil pipe and oil recess is a common phenomenon that affects the dynamic performance of the hydrostatic bearing. An equivalent spring-damper model accounting