基于双杆-弹簧模型的波箔型气体动压轴承特性研究
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摘要
应用双杆-弹簧模型计算波箔型气体动压轴承波箔的等效刚度矩阵,应用有限元法计算顶箔的挠度,通过控制气膜厚度的收敛,由Reynolds方程迭代求解出轴承的波箔挠度、顶箔挠度、气膜厚度和压力分布。通过算例,研究波箔等效刚度与相关参数的关系,研究轴承载荷与转速、环境压力以及平均气膜厚度的关系。结果表明:轴承的承载能力随轴承转速的增大而增大,且增大的速率逐渐减小;轴承承载能力随轴承内部环境压力的增大而增大;平均气膜厚度越小,轴承承载能力越大。
The equivalent stiffness matrix of bump-type foil bearings was calculated by using the link-spring model,the deflection of top foil was calculated by using finite element method,and the deflections of bump-type foil and top-foil,the thickness of air film and the pressure distribution of bump-type foil bearings were obtained by resolving Reynolds equation with iteration which stops by the convergence of the air film thickness. The relationship between equivalent stiffness of bump-type foil and the other parameters,and the relationship between bearing loads and rotate speeds,environment pressures and average thickness of air film were studied by an example.The results show that the load capacity of bearing is increased with the increasing of the bearing speed,and the increasing rate is decreased gradually. The bearing capacity of bearing is also increased with the internal pressure of the bearing. The smaller the average film thickness,the greater the bearing capacity becomes.
The equivalent stiffness matrix of bump-type foil bearings was calculated by using the link-spring model,the deflection of top foil was calculated by using finite element method,and the deflections of bump-type foil and top-foil,the thickness of air film and the pressure distribution of bump-type foil bearings were obtained by resolving Reynolds equation with iteration which stops by the convergence of the air film thickness. The relationship between equivalent stiffness of bump-type foil and the other parameters,and the relationship between bearing loads and rotate speeds,environment pressures and average thickness of air film were studied by an example.The results show that the load capacity of bearing is increased with the increasing of the bearing speed,and the increasing rate is decreased gradually. The bearing capacity of bearing is also increased with the internal pressure of the bearing. The smaller the average film thickness,the greater the bearing capacity becomes.
引文
[1]虞烈.弹性箔片轴承的气弹润滑解[J].西安交通大学学报,2004,38(3):327-330.YU L.Solution of elasto-aerodynamic lubrication for compliant foil bearings[J].Journal of Xi’an Jiaotong University,2004,38(3):327-330.
[2]虞烈,戚社苗,耿海鹏.弹性箔片空气动压轴承的完全气弹润滑解[J].中国科学E辑工程科学(材料科学),2005,35(7):746-760.
[3]徐国庆.弹性波箔动压径向气体轴承的理论分析与实验设计[D].南京:南京航空航天大学,2008.
[4]马永利.弹性波箔型动压气体径向轴承的特性分析和实验研究[D].南京:南京航空航天大学,2012.
[5]石卓奇.波箔动压气体轴承承载特性的理论与实验研究[D].哈尔滨:哈尔滨工业大学,2016.
[6]夏新沛.箔片气体轴承流场及平箔变形对轴承性能影响分析[D].合肥:中国科技大学工程热物理研究所,2011.
[7]HESHMAT H,WALOWIT J,PINKUS O.Analysis of gas-lubricated foil journal bearings[J].Journal of Lubrication Technology,1983,105:647-655.
[8]LEE D H,KIM Y C,KIM K W.The static and dynamic performance analyses of air foil journal bearings for various bump foi stiffness[J].KSTLE,2004,22(5):245-251.
[9]SAN ANDRES L,KIM T H.Improvements to the analysis of gas foil bearings:integration of top foil 1D and 2D structural models[C]//Proceedings of the STLE/ASME international joint tribology conference,San Antonio,TX,USA,2006.
[10]FENG K,KANEKO S.Link-spring model of bump-type foi bearing[C]//Proceedings of ASME Turbo Expo 2009:Power for Land,Sea and Air.Orlando,Florida,USA.2009,GT2009-59260.
[11]LEZ S L,ARGHIR M,FRENE J.A new bump-type foil bearing structure analytical model[J].Journal of Engineering for Gas Turbines and Power,2007,129(4):1047-1054.
[12]池长青.流体力学润滑[M].北京:国防工业出版社,1998:271-274.
[2]虞烈,戚社苗,耿海鹏.弹性箔片空气动压轴承的完全气弹润滑解[J].中国科学E辑工程科学(材料科学),2005,35(7):746-760.
[3]徐国庆.弹性波箔动压径向气体轴承的理论分析与实验设计[D].南京:南京航空航天大学,2008.
[4]马永利.弹性波箔型动压气体径向轴承的特性分析和实验研究[D].南京:南京航空航天大学,2012.
[5]石卓奇.波箔动压气体轴承承载特性的理论与实验研究[D].哈尔滨:哈尔滨工业大学,2016.
[6]夏新沛.箔片气体轴承流场及平箔变形对轴承性能影响分析[D].合肥:中国科技大学工程热物理研究所,2011.
[7]HESHMAT H,WALOWIT J,PINKUS O.Analysis of gas-lubricated foil journal bearings[J].Journal of Lubrication Technology,1983,105:647-655.
[8]LEE D H,KIM Y C,KIM K W.The static and dynamic performance analyses of air foil journal bearings for various bump foi stiffness[J].KSTLE,2004,22(5):245-251.
[9]SAN ANDRES L,KIM T H.Improvements to the analysis of gas foil bearings:integration of top foil 1D and 2D structural models[C]//Proceedings of the STLE/ASME international joint tribology conference,San Antonio,TX,USA,2006.
[10]FENG K,KANEKO S.Link-spring model of bump-type foi bearing[C]//Proceedings of ASME Turbo Expo 2009:Power for Land,Sea and Air.Orlando,Florida,USA.2009,GT2009-59260.
[11]LEZ S L,ARGHIR M,FRENE J.A new bump-type foil bearing structure analytical model[J].Journal of Engineering for Gas Turbines and Power,2007,129(4):1047-1054.
[12]池长青.流体力学润滑[M].北京:国防工业出版社,1998:271-274.