摘要
以具有弹性箔片支撑的自作用式气体轴承为研究对象,为进行理论分析,将其划分为三个系统:转子、气膜和弹性支撑结构,对每一种系统都进行数学分析,并建立了解析方程。研究发现,轴承内的气体流动可以用雷诺方程来描述,而结构分析选取了弹簧阻尼模型。由于雷诺方程的精确解是未知的,利用有限差分法进行数值近似解计算,用一组代数方程代替雷诺方程的偏导数,并采用交替方向隐式法,求解所得到的系统。在此基础上,通过对三种系统相互作用的分析,求解了三种系统的方程。通过一系列数值试验,验证了该方法的准确性,并对所选结果进行了描述。
The self-acting gas bearing with elastic foil support is taken as the research object,for the purpose of theoretical analysis,it is divided into three systems:rotor,gas membrane and elastic support structure,to make mathematical analysis of each system,and the analytical equation is established.It is found that the gas flow in the bearing can be described by Reynolds equation,and the spring damping model is selected for structural analysis.Since the exact solution of Reynolds equation is unknown,the finite difference method is used to calculate the approximate solution,the partial derivatives of Reynolds equation are replaced by a set of algebraic equations.In order to solve the system,the alternating direction implicit method is adopted,on this basis,the equations of the three systems are solved by analyzing the interaction of the three systems.Through a series of numerical experiments,the accuracy of this method is verified,and the selected results are described.
作者
康宇轩
吕涛
肖云峰
聂帅
KANG Yu-xuan;LV Tao;XIAO Yun-feng;NIE Shuai(College of Environmental and Energy Engineering,Beijing University of Technology,Beijing 100022,China;College of Mechanical Engineering,Beijing Institute of Petroleum and Chemical Technology,Beijing 102617,China)
出处
《内燃机与配件》
2019年第22期63-65,共3页
Internal Combustion Engine & Parts
关键词
气体箔片轴承
有限差分法
交替方向隐式法
gas foil bearings
finite difference method
alternating direction implicit method