Numerical analysis of microbearing dynamics characteristics with MATLAB

LAN Zheng-yi1, WU Lin1, LV Gang-lei2
(1.School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China;
2.School of Mechanical Engineering, Zhengzhou University of Science and Technology, Zhengzhou 450064, China)

Abstract: Aiming at the influence of gas slip on the dynamic characteristics of micro-bearing of micro-electromechanical system (MEMS) can not be accurately described with the traditional continuous model, the traditional continuous model and the first-order slip model was modified by Wu new slip model(the solution of the linear Boltzmann equation had a high degree of agreement under any Knutson number). Based on the finite difference method, the dynamic mathematical model for numerical analysis of the dynamic characteristics of micro-bearings was established, and the method for the establishment of dynamic mathematical model under the Wu new slip model was proposed. On the MATLAB software platform, the dynamic characteristics and stability of the micro-bearing rigid rotor system under different bearing parameters was numerically analyzed. The results indicate that under the condition of small film clearance, maximum dynamic characteristic coefficient of micro-bearings is estimated under continuous model, the first-order slip model is followed, Wu new slip model is minimum. So these problems should be analyzed by Wu new slip model when designed micro-bearings under MEMS.
Key words: micro-bearing; gas slip; dynamic characteristics; MATLAB; rotor system stability