Novel Foil Bearing</title

A Novel Approach to the Foil Bearing Problem
George G. Adams

Summary

A new approach is presented for the one-dimensional steady state foil bearing problem. The technique uses a specially developed form of Newton's method which is applied directly to the system of equation as a coupling scheme. The steady-state form of the air bearing equation is also solved at each system iteration through Newton's method. Accuracy problems inherent in the numerical calculation of the tape deflection are overcome by obtaining an analytical solution for the dominant component of the pressure distribution. The deflection due to the remainder of the pressure is computed numerically. Although a formulation with pressure as the primary unknown is possible, it is found that a displacement formulation is more efficient. During iteration, the viscosity of air is artificially varied in order to speed convergence and enhance the robustness of the solution. Results are obtained for simple cylindrical heads at low flying heights as well as for a complex head geometry.

Dr. George G. Adams