{"title":"Predictions of Dynamic Behaviors for Gas Foil Bearings Operating at Steady-State Based on Multi-Physics Coupling Computer Aided Engineering Simulations","authors":"Tai Yuan Yu, Pei-Jen Wang","volume":188,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":188,"pagesEnd":197,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10012649","abstract":"<p>A simulation scheme of rotational motions for predictions of bump-type gas foil bearings operating at steady-state is proposed. The scheme is based on multi-physics coupling computer aided engineering packages modularized with computational fluid dynamic model and structure elasticity model to numerically solve the dynamic equation of motions of a hydrodynamic loaded shaft supported by an elastic bump foil. The bump foil is assumed to be modelled as infinite number of Hookean springs mounted on stiff wall. Hence, the top foil stiffness is constant on the periphery of the bearing housing. The hydrodynamic pressure generated by the air film lubrication transfers to the top foil and induces elastic deformation needed to be solved by a finite element method program, whereas the pressure profile applied on the top foil must be solved by a finite element method program based on Reynolds Equation in lubrication theory. As a result, the equation of motions for the bearing shaft are iteratively solved via coupling of the two finite element method programs simultaneously. In conclusion, the two-dimensional center trajectory of the shaft plus the deformation map on top foil at constant rotational speed are calculated for comparisons with the experimental results.<\/p>","references":"[1]\tWalowit, J. A., and Anno, J. N., \u201cModern Developments in Lubrication Mechanics, Applied Science\u201d, London, (1975), Chap. 7.\r\n[2]\tHeshmat, H., Walowit, J. A., and Pinkus, O., \u201cAnalysis of Gas-Lubricated Foil Journal Bearings,\u201d ASME J. Lubr. Technol., 105, (1983), pp. 647\u2013655.\r\n[3]\tKu, C. P., and Heshmat, H., \u201cCompliant Foil Bearing Structure Stiffness Analysis: Part I\u2014Theoretical Model Including Strip and Variable Bump Foil Geometry,\u201d ASME J. Tribol., 114, (1992), pp. 394\u2013400.\r\n[4]\tAgrawal, G. L., \u201cFoil Air\/Gas Bearing Technology\u2014An Overview,\u201d ASME Paper No. 97-GT-347. (1997).\r\n[5]\tIordanoff, I., \u201cAnalysis of an Aerodynamic Compliant Foil Thrust Bearing: Method for a Rapid Design,\u201d ASME J. Tribol., 121, (1999), pp. 816\u2013822.\r\n[6]\tDellaCorte, C., and Valco, M. J., \u201cLoad Capacity Estimation of Foil Air Journal Bearings for Oil-Free Turbomachinery Applications,\u201d NASA\/TM, Report No. 2000-209782., (2000).\r\n[7]\tCarpino, M., and Talmage, G., \u201cA Fully Coupled Finite Element Formulation for Elastically Supported Foil Journal Bearings,\u201d Tribol. Trans., 46, (2003), pp. 560\u2013565.\r\n[8]\t\tPeng, Z.-C., and Khonsari, M. M., \u201cHydrodynamic Analysis of Compliant Foil Bearings with Compressible Air Flow,\u201d ASME J. Tribol., 126, (2004), pp. 542\u2013546.\r\n[9]\tPeng, Z. C., and Khonsari, M. M., \u201cA Thermohydrodynamic of Foil Journal Bearings,\u201d ASME J. Tribol., 128, (2006), pp. 534\u2013541.\r\n[10]\tSwanson, E. E., \u201cBump Foil Damping Using a Simplified Model,\u201d ASME J. Tribol., 128, (2006), pp. 542\u2013550.\r\n[11]\tSan Andres, L., and Kim, T. H., \u201cImprovements to The Analysis of Gas Foil Bearings: Integration of Top Foil 1D and 2D Structural Models,\u201d ASME Paper No. GT 2007-27249. (2007).\r\n[12]\tLe Lez, S., Arghir, M., and Frene, J., \u201cA New Bump-Type Foil Bearing Structure Analytical Model,\u201d ASME J. Eng. Gas Turbines Power, 129_4_, (2007), pp. 1047\u20131057.\r\n[13]\tLe Lez, S., Arghir, M., and Frene, J., \u201cStatic and Dynamic Characterization of a Bump-Type Foil Bearing Structure,\u201d ASME J. Tribol., 129, (2007), pp. 75\u201383.\r\n[14]\tFeng, K., and Kaneko, S., \u201cA Numerical Calculation Model of Multi Wound Foil Bearing with the Effect of Foil Local Deformation,\u201d Journal of System Design and Dynamics, JSME, 1, (2007), pp. 648\u2013659.\r\n[15]\tLee, Y., Park, D., Kim, C. H., and Kim, S. J., \u201cOperating Characteristics of the Bump Foil Journal Bearings with Top Foil Bending Phenomenon and Correlation Among Bump Foils,\u201d Tribol. Int., 41, (2008), pp. 221\u2013233.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 188, 2022"}