Numerical solution of Reynold’s equation governing noncircular gas bearing system using radial basis function

Document Type: Regular Paper


1 Faculty of Mathematics, Yazd University, Yazd, Iran

2 Department of Mechanical Engineering, Payame Noor University, Tehran, Iran

3 Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, Iran


In this paper, the static characteristics of two-lobe, three-lobe and four-lobe noncircular gas journal bearing systems are
studied in detail. The Reynold’s equation governing the noncircular gas bearing systems are analyzed by using Radial Basis
Functions (RBF). The solutions are obtained numerically by solving systems of algebraic equations. The equilibrium position
of the rotor is obtained without using the trial and error method; which is the merit of our method.