Foil Bearing Stiffness Estimation with Pseudospectral Scheme

Compliant foil gas lubricated bearings are used for the
support of light loads in the order of few kilograms at high speeds, in
the order of 50,000 RPM. The stiffness of the foil bearings depends
both on the stiffness of the compliant foil and on the lubricating
gas film. The stiffness of the bearings plays a crucial role in the
stable operation of the supported rotor over a range of speeds. This
paper describes a numerical approach to estimate the stiffness of the
bearings using pseudo spectral scheme. Methodology to obtain the
stiffness of the foil bearing as a function of weight of the shaft is
given and the results are presented.




References:
[1] A.Cameron. Basic Lubrication Theory. Longman, 1971.
[2] Luis San Andrs. Thermohydrodynamic analysis of bump type gas foil
bearings: A model anchored to test data. Journal of Engineering for
Gas Turbines and Power, 132:042504–1 to042504–10, 2010.
[3] Edmond E Bisson and William J Anderson. Advanced bearing
technology. nasa sp-38. NASA Special Publication, 38, 1964.
[4] C. DellaCorte. Tribological limitations in gas turbine engines a
workshop to identify the challenges and set future directions. Technical
report, NASA, 2000.
[5] Kai Feng. Analytical model of bump-type foil bearings using a
link-spring structure and a finite-element shell model. Journal of
Tribology, 132:0210706–1 to 0210706–11, 2010.
[6] Kai Feng. Parametric studies on static performance and nonlinear
instability of bump-type foil bearings. Journal of System Design and
Dynamics, 6, 2010.
[7] Z.C. Peng and M.M. Khonsari. Hydrodynamic analysis of compliant
foil bearings with compressible air flow. Transactions of the ASME,
126:542–546, 2004.
[8] Edward Stanley Piekos. Numerical Simulation of Gas-Lubricated
Journal Bearings for Microfabricated Machines. PhD thesis, MIT, 2000.
[9] Balaji Sankar. Numerical simulation and experimental validation of
compliant surface gas film bearings for high speed applications, 2012.
[10] Balaji Sankar and Sadanand Kulkarni. Non linear time dependent
simulations of high speed gas lubricated bearings-an object oriented
model. In International conference on advanced research in mechanical
engineering, ICARME-2012, 2012.
[11] Balaji Sankar and Sadanand Kulkarni. Modeling of gas lubricated
compliant foil bearings using pseudo spectral scheme. Tribology Online,
10(5):295–305, 2015.