linear stability analysis of the herringbone groove journal bearings in microsystems: Consideration of gas rarefaction effects

Wang-Long Li, Rui Wen Shen

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The dynamic performance of the herringbone groove journal bearings (HGJBs) with the effects of gas rarefaction taken into account is considered for applications in microsystems. Two important parameters (the Knudsen number Kn and the tangential momentum accommodation coefficients, TMACs or the accommodation coefficients, ACs) that affect gas rarefaction significantly are considered. Small variations in film thickness and pressure from the equilibrium state are substituted into the transient modified molecular gas lubrication (MMGL) equation, which considers effects of gas rarefactions with the Poiseuille and Couette flow rate correctors. The gas film in the rotor-bearing system is modeled as stiffness and damping elements with coefficients dependent on the exciting frequency. The dynamic coefficients are then obtained by solving the linearized MMGL equations. The equations of motion of the rotor as well as the dynamic coefficients are performed for the present linear stability analysis. Due to the exciting frequencydependent nature of the dynamic coefficients, an iterative method with the golden section technique is introduced in the linear stability analysis of rotor-bearing systems. The critical mass parameters and the related threshold speed are computed and discussed. The results of this study prove that HGJBs in microsystems can operate at concentric conditions at very high speeds.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalJournal of Tribology
Volume131
Issue number4
DOIs
Publication statusPublished - 2009 Oct 1

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films

Fingerprint Dive into the research topics of 'linear stability analysis of the herringbone groove journal bearings in microsystems: Consideration of gas rarefaction effects'. Together they form a unique fingerprint.

  • Cite this