Study on the Solution of Reynolds Equation for Micro Gas Bearings Using the Alternating-Direction Implication Algorithm
Being an important micro fluidic component,micro gas bearings are used in different kinds of MEMS devices.In such application,micro gas flow can be encountered which can no longer be considered as the continuum flow and the rarefaction effect must be taken into account.In this paper,firstly according to the 1st order slip velocity boundary,the modified Reynolds equation for micro gas bearings is derived.For the modified Reynolds equation,the procedure of solving it using the alternating-direction implication algorithm is given in detail.Assumed the rotor being rigid body,the trajectory of rotor center,time history,power spectrum and Poincare maps are calculated using the Runge-Kutta method and the dynamical characteristics of the rotor system is analyzed.The study shows that the alternating-direction implication algorithm has a better numerical stability and can be adopted to analyze the nonlinear dynamical phenomena of micro gas bearing-rotor system.
Q.YANG Y.LIU H.ZHANG
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072; Colleg Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Univesity,Shanghai 200072 College of Mechanical-Electrical Engineering, Jiaxing University, Jiaxing 314001
国际会议
Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)
上海
英文
137-140
2013-08-01（万方平台首次上网日期，不代表论文的发表时间）