用瑞利-李兹法求解瞬时非稳态滑动轴承油膜力的新算法  

New model calculating unsteady nonlinear oil-film forces by Rayleigh-Ritz method

作　　者：肖忠会[1] 沈光琰[1] 郑铁生[1] 张文[1] 

机构地区：[1]复旦大学力学与工程科学系,上海200433

出　　处：《计算力学学报》2005年第6期685-689,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金重大项目(19990510);国家重点基础研究专项经费基金(G1998020316)资助项目

摘　　要：提出了一个利用瑞利-李兹方法求解R eyno lds边界条件下非稳态滑动轴承油膜力的近似算法,充分利用油膜力分布的特性,用双曲余弦函数来表示油膜力的轴向压力分布,而用多项式函数插值法来求解油膜力的周向压力分布,并同时计算出油膜力的破裂边界。算例表明本算法达到了相当高的精度,可用于转子系统的非线性数值分析,能大大降低数值求解瞬态油膜力的计算时间。Based on the free boundary theory and variational method, this paper presents a fast and accurate model to calculate the Unsteady Nonlinear Oil-film forces acting on finite length bearings by Rayleigh-Ritz method. Reynolds boundary condition is taken into consideration. The two-dimension problem is deduced into a one-dimension problem by assuming the oil-film pressure distribution in the axial direction is in hyperbolic cosine form. The pressure distribution in the circumferential direction is interpolated by Lagrange polynomials. Examples comparing the present method with FDM method show the results of current model is accurate while the CPU time is reduced greatly. This method can be used in the nonlinear analysis of rotor-bearing systems.

关 键 词：有限轴承 油膜力Reynolds边界条件 瑞利一李兹法 

分 类 号：TH133.3[机械工程—机械制造及自动化] TB11[理学—数学]