静压球面气体轴承工作特性数值分析
Numerical Analysis of Working Characteristics of Aerostatic Spherical Gas Bearings
张珂 1刘大鹏1
作者信息
- 1. 上海应用技术大学机械工程学院,上海 201418
- 折叠
摘要
针对传统的主控雷诺方程推导过程中使用的连续性方程在静压气体轴承的节流孔处并不适用的问题,对雷诺方程进行修正.基于保角变换方法、牛顿迭代法、有限差分法和松弛迭代法对轴承气膜流场区域修正雷诺方程进行计算,得到在不同供气压力下节流孔分布锥顶角处气膜压力沿周向的分布,分析供气压力、径向偏心率和节流孔直径对静压球面气体轴承径向承载力、轴向承载力和耗气量的影响.结果表明:静压球面气体轴承的径向和轴向承载力受到静压效应和动压效应的耦合影响;供气压力越大,径向和轴向承载力越大,耗气量量越大;径向偏心越大,径向和轴向承载力越大,径向偏心率对耗气量影响很小;节流孔直径越大,径向承载力、轴向承载力和耗气量越大.
Abstract
The Reynolds equation was modified in response the problem that the continuity equation used in the deriva-tion of the conventional master Reynolds equation was not applicable at the throttle bore of a hydrostatic gas bearing.Based on the angle-preserving transformation method,Newton's iteration method,finite difference method and relaxation iteration method,the modified Reynolds equation was calculated for the region of the bearing gas film flow field,and the distribution of gas film pressure along the circumferential direction at the apex angle of the orifice distribution cone was obtained under different air supply pressures.The influence of air supply pressure and radial eccentricity on the radial load capacity and axial load capacity of aerostatic air spherical bearings was analyzed.The results show that the radial bearing capacity and axial bearing capacity of aerostatic spherical air bearings are affected by the coupling of static pressure effect and dynamic pressure effect.The greater the air supply pressure,the greater the radial bearing capacity and axial bearing capacity,and the greater the air consumption.The greater the radial eccentricity,the greater the radial bearing capacity and axial bearing capacity,and the radial eccentricity has little effect on the gas consumption.The larger the diameter of the orifice,the grea-ter the radial bearing capacity,axial bearing capacity and air consumption.
关键词
球面气体轴承/承载力/保角变换/牛顿迭代法/有限差分法Key words
spherical gas bearings/bearing capacity/conformal transformation/Newton iteration method/finite difference method引用本文复制引用
基金项目
国家自然科学基金(11672186)
上海市联盟计划(LM2018-5)
上海应用技术大学协同创新基金(XTCX2022-15)
应用型高水平研究生优秀学位论文培育项目(1021GK210006038-B20)
出版年
2024
NETL
NSTL
万方数据