Measurement of Structural Stiffness and Damping Coefficients in a Metal Mesh Foil Bearing

Luis San Andrés1, Thomas Abraham Chirathadam1, Tae‐Ho Kim1
1Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

Tóm tắt

Engineered metal mesh foil bearings (MMFBs) are a promising low cost bearing technology for oil-free microturbomachinery. In a MMFB, a ring shaped metal mesh provides a soft elastic support to a smooth arcuate foil wrapped around a rotating shaft. This paper details the construction of a MMFB and the static and dynamic load tests conducted on the bearing for estimation of its structural stiffness and equivalent viscous damping. The 28.00 mm diameter 28.05 mm long bearing, with a metal mesh ring made of 0.3 mm copper wire and compactness of 20%, is installed on a test shaft with a slight preload. Static load versus bearing deflection measurements display a cubic nonlinearity with large hysteresis. The bearing deflection varies linearly during loading, but nonlinearly during the unloading process. An electromagnetic shaker applies on the test bearing loads of controlled amplitude over a frequency range. In the frequency domain, the ratio of applied force to bearing deflection gives the bearing mechanical impedance, whose real part and imaginary part give the structural stiffness and damping coefficients, respectively. As with prior art published in the literature, the bearing stiffness decreases significantly with the amplitude of motion and shows a gradual increasing trend with frequency. The bearing equivalent viscous damping is inversely proportional to the excitation frequency and motion amplitude. Hence, it is best to describe the mechanical energy dissipation characteristics of the MMFB with a structural loss factor (material damping). The experimental results show a loss factor as high as 0.7 though dependent on the amplitude of motion. Empirically based formulas, originally developed for metal mesh rings, predict bearing structural stiffness and damping coefficients that agree well with the experimentally estimated parameters. Note, however, that the metal mesh ring, after continuous operation and various dismantling and re-assembly processes, showed significant creep or sag that resulted in a gradual decrease in its structural force coefficients.

Từ khóa


Tài liệu tham khảo

Agrawal, G. , 1997, “Foil Air/Gas Bearing Technology–an Overview,” ASME Paper No. 97-GT-347.

Al-Khateeb, E. M. , 2002, “Design, Modeling and Experimental Investigation of Wire Mesh Vibration Dampers,” Ph.D. thesis, Texas A&M University, College Station, TX.

Lee, Y. B., Kim, C. H., Jo, J. H., and Ryu, K., 2006, “Air Foil Bearing Having a Porous Foil,” International Patent No. WO 2006/043736 A1.

Ao, Study on the Damping Characteristics of MR Damper in Flexible Supporting of Turbo-Pump Rotor for Engine, 618

Zarzour, Experimental Evaluation of a Metal-Mesh Bearing Damper in a High Speed Test Rig, ASME J. Eng. Gas Turbines Power, 122, 326, 10.1115/1.483214

Okayasu, Vibration Problems in the LE-7 Liquid Hydrogen Turbopump

Al-Khateeb, E. M., and Vance, J. M., 2001, “Experimental Evaluation of a Metal Mesh Bearing Damper in Parallel with a Structural Support,” ASME Paper No. 2001-GT-0247.

Ertas, Rotordynamic Bearing Dampers for Cryogenic Rocket Engine Turbopumps, J. Propul. Power, 19, 674, 10.2514/2.6157

Burshid, S. M. , 1990, “Experimental Evaluation of Rotordynamic Coefficients for Hybrid Metal Mesh Pocket Damper Seals in Turbomachinery,” MS thesis, Texas A&M University, College Station, TX.

Choudhry, V., and Vance, J. M., 2005, “Design Equations for Wire Mesh Bearing Dampers in Turbomachinery,” ASME Paper No. GT 2005-68641.

Ertas, Nonlinear Dynamic Characterization of Oil-Free Mesh Dampers, ASME J. Eng. Gas Turbines Power, 130, 032503, 10.1115/1.2836744

Ertas, B. H. , 2008, “Compliant Hybrid Journal Bearings Using Integral Wire Mesh Dampers,” ASME Paper No. GT 2008-50984.

San Andrés, Forced Nonlinear Response of Gas Foil Bearing Supported Rotors, Tribol. Int., 41, 704, 10.1016/j.triboint.2007.12.009

DellaCorte, C., Radil, K. C., Bruckner, J. R., and Howard, S. A., 2007, “Design, Fabrication and Performance of Open Source Generation I and II Compliant Hydrodynamic Gas Foil Bearings,” Report No. NASA/TM-2007-214691.

LaRue, G. D., Kang, S. G., and Wick, W., 2006, “Turbocharger With Hydrodynamic Foil Bearings,” US Patent No. 7108488 B2.

Dodge, The Physical Review, 439

Boyd, Strength of Materials, 16

Breedlove, A. W. , 2007, “Experimental Identification of Structural Force Coefficients in a Bump-Type Foil Bearing,” MS thesis, Texas A&M University, College Station, TX.

Ginsberg, Mechanical and Structural Vibration–Theory and Application, 135

San Andrés, L., Kim, T. H., Chirathadam, T. A., and Martinez, A., 2008, “Measurement of Structural Stiffness and Damping in a Metal Mesh Foil Bearing and Development of a Test Rig for Gas Foil Bearings,” Texas A&M University, College Station, TX, Technical Report No. TRC-B&C-5-08.

San Andrés, L., Kim, T. H., Ryu, K., Chirathadam, T. A., Hagen, K., Martinez, A., RiceB., Niedbalski, N., Hung, W., and Johnson, M., 2009, “Gas Bearing Technology for Oil-Free Microturbomachinery–Research Experience for Undergraduate (REU) Program at Texas A&M University,” ASME Paper No. GT 2009-59920.