Large amplitude dynamic behavior of thrust air bearings: Modeling and experiments

Franssen, Rhm Robin; Potze, W; Jong, de P; Fey, Rhb Rob; Nijmeijer, Henk

doi:10.1016/j.triboint.2016.12.024

Cited by 8 publications

(7 citation statements)

References 13 publications

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“…Effectively modeling the dynamic behavior of the air film is quite necessary for the systematic and consistent air bearing design [ 26 , 27 ], thus, the modeling of the air film is of primary importance. The pressure distribution of the aerostatic bearing air film can be described by the Reynolds equation, and the Reynolds equation is obtained based on the Navier-Stokes Equations with following assumptions, the flow is isothermal, the gas viscosity is assumed to be constant, the pressure distribution in the vertical direction to the air film is assumed to be constant, the viscosity force is assumed to be much larger than inertia force, there is no velocity slip at the boundary, and the air is the ideal gas.…”

Section: Mathematical Modeling Of Aerostatic Spindlementioning

confidence: 99%

“…The pressure distribution of the aerostatic bearing air film can be described by the Reynolds equation, and the Reynolds equation is obtained based on the Navier-Stokes Equations with following assumptions, the flow is isothermal, the gas viscosity is assumed to be constant, the pressure distribution in the vertical direction to the air film is assumed to be constant, the viscosity force is assumed to be much larger than inertia force, there is no velocity slip at the boundary, and the air is the ideal gas. Effectively modeling the dynamic behavior of the air film is quite necessary for the systematic and consistent air bearing design [26,27], thus, the modeling of the air film is of primary importance. The pressure distribution of the aerostatic bearing air film can be described by the Reynolds equation, and the Reynolds equation is obtained based on the Navier-Stokes Equations with following assumptions, the flow is isothermal, the gas viscosity is assumed to be constant, the pressure distribution in the vertical direction to the air film is assumed to be constant, the viscosity force is assumed to be much larger than inertia force, there is no velocity slip at the boundary, and the air is the ideal gas.…”

Section: Mathematical Modeling Of Aerostatic Spindlementioning

confidence: 99%

See 1 more Smart Citation

Multi-Field Coupling Dynamics Modeling of Aerostatic Spindle

Chen

2021

Micromachines

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The aerostatic spindle in the ultra-precision machine tool shows the complex multi-field coupling dynamics behavior under working condition. The numerical investigation helps to better understand the dynamic characteristics of the aerostatic spindle and improve its structure and performance with low cost. A multi-field coupling 5-DOF dynamics model for the aerostatic spindle is proposed in this paper, which considers the interaction between the air film, spindle shaft and the motor. The restoring force method is employed to deal with the times varying air film force, the transient Reynolds equation of the aerostatic journal bearing and the aerostatic thrust bearing is solved using ADI method and Thomas method. The transient air film pressure of aerostatic bearings is obtained which clearly presents the influence induced by the tilt motion of the spindle shaft. The motion trajectory of the spindle shaft is obtained which shows different stability of the shaft under different external forces. The dynamics model shows good performance on simulating the multi-field coupling behavior of the aerostatic spindle under external force. which is quite meaningful and useful for the further research on the dynamic characteristics of the aerostatic spindle.

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Section: Mathematical Modeling Of Aerostatic Spindlementioning

confidence: 99%

Section: Mathematical Modeling Of Aerostatic Spindlementioning

confidence: 99%

Multi-Field Coupling Dynamics Modeling of Aerostatic Spindle

Chen

2021

Micromachines

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“…One is structured with the feed hole and feed pocket, and it is usually called the pocket orifice restrictor. 3 The other is formed only by the feed hole, and it is usually called the inherent restrictor. 4 The feed pocket can store the high-pressured air to increase the pressure value near the region of the orifice.…”

Section: Introductionmentioning

confidence: 99%

Novelfull‐regionmodel of inherent orifice aerostatic bearings considering air flow in orifice and clearance

Zhang

Wang

et al. 2022

Lubrication Science

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The performance of inherent orifice‐restricted aerostatic bearings (IORABs) is directly determined by the coupling of air flow in the orifice and clearance. This paper presents a novel full‐region model to analyse the performance of IORABs. The air flowing in the orifice is treated to be adiabatic. The air flow in the pressure depression region of the clearance, which is the key factor influencing the bearing performance, including inertial and viscous terms, is modelled. The Reynolds equation is used to simulate the air flow in the laminar flow region of the clearance. By using this model, the pressure distribution, including the pressure depression characteristics, could be accurately predicted and achieved substantial agreement with the experimental results. The predicted load capacity is accorded well with the published experimental data without relying on the discharge coefficients. The airflow characteristics in the orifice are crucial in determining the bearing performance and directly influenced by the orifice inner surface shape (OISS). Therefore, the pressure distribution and the static characteristics of the bearings with coupling different OISS are also systematically analysed by using this model. Narrowing and widening OISS influence the pressure depression region and the pressure value of the turning point to directly influence the static characteristics of the bearings. The full‐region model and the results are significantly for guiding the precisely calculating and designing the IORABs.

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“…Gao et al 4 studied the influences of sixorifice chamber configurations on the performance of aerostatic thrust bearings under various operation conditions using CFD approach. Franssen et al 5 studied the amplitude dynamic behavior of thrust air bearings. Lu et al 6 provided a calculation method for the performance of aerostatic thrust bearings, which took the fluid-structure coupling effect into account.…”

Section: Introductionmentioning

confidence: 99%

The flow-difference feedback iteration method for aerostatic thrust bearings and its convergence characteristics

Zhou

Zhang

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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The flow-difference feedback iteration method for aerostatic thrust bearings is proposed to the flow balance-based iteration, and two modification methods are further provided to improve the adaptability. The bearing capability calculated by the proposed method is validated by the experimental data. Moreover, the influence of convergence rate factors, iterative initial values, and mesh grids on the iteration ratio is investigated. Compared with the conventional iteration methods, the proposed method with appropriate convergence rate factors provides a higher convergence efficiency. In addition, good convergence behavior under different iterative initial values and the mesh grid size is shown, and the convergence rate is insensitive to the finite difference method parameters. A series of calculations are conducted to investigate the generality of the proposed methods.

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Large amplitude dynamic behavior of thrust air bearings: Modeling and experiments

Cited by 8 publications

References 13 publications

Multi-Field Coupling Dynamics Modeling of Aerostatic Spindle

Multi-Field Coupling Dynamics Modeling of Aerostatic Spindle

Novelfull‐regionmodel of inherent orifice aerostatic bearings considering air flow in orifice and clearance

The flow-difference feedback iteration method for aerostatic thrust bearings and its convergence characteristics

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