The squeeze effect of a gas thrust bearing is calculated using both a distributed parameters (DP) model and a lumped parameters (LP) model. A rectangular thrust bearing with no supply holes is considered in the analysis. In dynamic conditions, pressure values p1 and p2 are calculated. In steady-state conditions, these values coincide with ambient pressure pa. The developed LP model was validated with the DP model for a pad shape ratio (length/width) in the range of 0.5 to 2. Both models are validated in the literature in about a 1D parallel slider. The LP model has the advantage of faster implementation in comparison to the DP model. The LP model is also linearized by using a perturbation method to obtain the analytic expression of the dynamic stiffness. Therefore, it is possible to explain the effect of geometrical parameters on stiffness and damping coefficients. Keywords: squeeze film air thrust bearing, lumped parameters model, dynamic stiffness.
INTRODUCTION Recently in literature, most of the air bearings are analyzed with distributed parameters (DP) methods, using finite difference technique (FDM) [1], [2] or finite element method (FEM)[3], [4]. Also, CFD models can be used to study the pressure distribution; for example, in [5] the pressure depression effect in aerostatic thrust bearing is investigated. In [6], [7] CFD and FDM methods are applied to investigate static and dynamic behavior of bearings with small supply holes, the numerical results are also experimentally verified. In [8] a multi-physics finite element model is adopted to consider the interaction between the air flow dynamics and the structural flexibility of the bearing.Generally, all these methods achieve high precision in results but the solution can require long computation time due to the high number of nodes used for the discretization of the pad surface. Also, the identification of the parameters that influence the behavior is not easy.A lumped parameters model can be alternatively used as a fast design tool for air bearings. It does not require the use of commercial software and can be successfully adopted both for static and dynamic study. Due to its quite good precision and low number of parameters, this method allows an easy design and understanding of the phenomena.For simple geometries, analytical and lumped parameters methods were preferred in the past, when the computational speed was not high. Paper [9] presents analytical study of static characteristics of the bearings, papers [10], [11] show dynamic performance and stability criteria of aerostatic bearings adopting linearized equations of motion.Recently in [12] a lumped parameters model is proposed to study the static performance of a multiple supply holes rectangular pad. The results of load capacity, stiffness and air consumption were obtained in dimensionless form by chancing position, numbers and diameters of supply holes.About the dynamic behavior of air pads in [13] the time response of the force to a step variation of the air gap is analyzed. Results with ...