有限长椭圆瓦轴承油膜力近似解析模型  

Approximate analytical model of oil-film force for finite length elliptical journal bearing

作　　者：王永亮[1] 刘占生[1] 钱大帅[1] 何鹏[1] 

机构地区：[1]哈尔滨工业大学能源科学与工程学院,哈尔滨150001

出　　处：《航空动力学报》2012年第2期265-274,共10页Journal of Aerospace Power

基　　金：国家自然科学基金(10632040)

摘　　要：基于动态油膜边界条件,利用分离变量法求解Reynolds方程,获得了有限长圆瓦滑动轴承油膜压力分布表达式,推导了圆瓦轴承油膜力近似解析模型.在此基础上,根据椭圆瓦轴承油膜边界条件,建立了有限长椭圆瓦轴承油膜力近似解析模型.与有限差分法模型、长轴承模型、短轴承模型对比的结果显示,有限长椭圆瓦轴承油膜力模型能够适应任意长径比,且具有较高计算精度.基于给出的模型,利用Runge-Kutta法分析了刚性转子-椭圆瓦轴承系统的动力学特性,仿真结果表明,该模型能够较好描述椭圆瓦轴承油膜动力特性.The Reynolds equation of plain journal bearing lubrication was solved by separation of variables method, the pressure distribution expression of oil-film in plain journal bearing was obtained based on dynamic boundary conditions, and the approximate analytical expression of plain journal bearing oil force was deduced. The boundary conditions of elliptical bearing were analyzed. The approximate analytical model of elliptical bearing oil-film was obtained by combining the oil film boundary conditions of elliptical bearing with oil film force expression of plain journal bearing. The oil film force is verified with high accuracy and suitability for any aspect ratio by comparing with the finite difference method, long bearing model, and the short bearing model. The nonlinear rotordynamic behavior of a rigid rotor on elliptical bearing was investigated by Runge-Kutta method, the results of numerical simulation show that the model can describe the dynamic characteristics of elliptical bearing oil film well.

关 键 词：椭圆瓦轴承 滑动轴承 油膜力 分离变量 近似解析模型 

分 类 号：V233.4[航空宇航科学与技术—航空宇航推进理论与工程] TH133.3[机械工程—机械制造及自动化]