An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice

Aerostatic thrust bearings are widely used in advanced equipment such as lithography machines due to their excellent lubrication performance. In this study, computational fluid dynamics (CFD) was employed for the analysis of errors in the calculation of static characteristics of bearings based on th...

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Main Authors: Jian Zheng, Jianwei Wu, Huan Liu, Jiyao Wang, Pengyue Zhao
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Lubricants
Subjects:
Online Access:https://www.mdpi.com/2075-4442/13/3/110
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author Jian Zheng
Jianwei Wu
Huan Liu
Jiyao Wang
Pengyue Zhao
author_facet Jian Zheng
Jianwei Wu
Huan Liu
Jiyao Wang
Pengyue Zhao
author_sort Jian Zheng
collection DOAJ
description Aerostatic thrust bearings are widely used in advanced equipment such as lithography machines due to their excellent lubrication performance. In this study, computational fluid dynamics (CFD) was employed for the analysis of errors in the calculation of static characteristics of bearings based on the pressure behind the orifice. We put forth an analytical model for calculating the static characteristics of bearings utilizing the average pressure (<i>P</i><sub>dAVE</sub>) within the area surrounded by orifice. By analyzing the influence of various structural parameters, film thickness, and gas supply pressure on <i>P</i><sub>dAVE</sub> in aerostatic bearings, we derived an approximate expression for the average pressure coefficient, which was subsequently verified through experiments. The findings demonstrate that the analytical model for aerostatic bearings, formulated using <i>P</i><sub>dAVE</sub>, can accurately predict the static characteristics of the bearings. The working range corresponding to the optimal stiffness of the bearings is entirely consistent, and the prediction error of the bearing capacity within the optimal working range is less than 5%. This provides a more precise and effective performance prediction model for rectangular aerostatic thrust bearings in engineering design.
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spelling doaj-art-6f4a58e2b73b44399b4bd307ae1ce8812025-08-20T02:11:26ZengMDPI AGLubricants2075-44422025-03-0113311010.3390/lubricants13030110An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by OrificeJian Zheng0Jianwei Wu1Huan Liu2Jiyao Wang3Pengyue Zhao4Centre of Ultra-Precision Optoelectronic Instrumentation Engineering, Harbin Institute of Technology, Harbin 150001, ChinaCentre of Ultra-Precision Optoelectronic Instrumentation Engineering, Harbin Institute of Technology, Harbin 150001, ChinaCentre of Ultra-Precision Optoelectronic Instrumentation Engineering, Harbin Institute of Technology, Harbin 150001, ChinaCentre of Ultra-Precision Optoelectronic Instrumentation Engineering, Harbin Institute of Technology, Harbin 150001, ChinaCentre of Ultra-Precision Optoelectronic Instrumentation Engineering, Harbin Institute of Technology, Harbin 150001, ChinaAerostatic thrust bearings are widely used in advanced equipment such as lithography machines due to their excellent lubrication performance. In this study, computational fluid dynamics (CFD) was employed for the analysis of errors in the calculation of static characteristics of bearings based on the pressure behind the orifice. We put forth an analytical model for calculating the static characteristics of bearings utilizing the average pressure (<i>P</i><sub>dAVE</sub>) within the area surrounded by orifice. By analyzing the influence of various structural parameters, film thickness, and gas supply pressure on <i>P</i><sub>dAVE</sub> in aerostatic bearings, we derived an approximate expression for the average pressure coefficient, which was subsequently verified through experiments. The findings demonstrate that the analytical model for aerostatic bearings, formulated using <i>P</i><sub>dAVE</sub>, can accurately predict the static characteristics of the bearings. The working range corresponding to the optimal stiffness of the bearings is entirely consistent, and the prediction error of the bearing capacity within the optimal working range is less than 5%. This provides a more precise and effective performance prediction model for rectangular aerostatic thrust bearings in engineering design.https://www.mdpi.com/2075-4442/13/3/110aerostatic thrust bearingsstatic characteristicsanalytical modelthe average pressure coefficient
spellingShingle Jian Zheng
Jianwei Wu
Huan Liu
Jiyao Wang
Pengyue Zhao
An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice
Lubricants
aerostatic thrust bearings
static characteristics
analytical model
the average pressure coefficient
title An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice
title_full An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice
title_fullStr An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice
title_full_unstemmed An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice
title_short An Analytical Model for Aerostatic Thrust Bearings Based on the Average Pressure of the Area Surrounded by Orifice
title_sort analytical model for aerostatic thrust bearings based on the average pressure of the area surrounded by orifice
topic aerostatic thrust bearings
static characteristics
analytical model
the average pressure coefficient
url https://www.mdpi.com/2075-4442/13/3/110
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