Research Papers

Efficient Models of Three-Dimensional Tilting Pad Journal Bearings for the Study of the Interactions Between Rotor and Lubricant Supply Plant

[+] Author and Article Information
Andrea Rindi

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: andrea.rindi@unifi.it

Stefano Rossin

General Electric Oil & Gas,
Florence 50127, Italy
e-mail: stefano.rossin@ge.com

R. Conti

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: roberto.conti@unifi.it

A. Frilli

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: amedeo.frilli@unifi.it

E. Galardi

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: emanuele.galardi@unifi.it

E. Meli

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: enrico.meli@unifi.it

D. Nocciolini

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: daniele.nocciolini@unifi.it

L. Pugi

Department of Industrial Engineering,
University of Florence,
Florence 50139, Italy
e-mail: luca.pugi@unifi.it

Manuscript received October 1, 2014; final manuscript received April 27, 2015; published online July 17, 2015. Assoc. Editor: José L. Escalona.

J. Comput. Nonlinear Dynam 11(1), 011011 (Jan 01, 2016) (13 pages) Paper No: CND-14-1228; doi: 10.1115/1.4030509 History: Received October 01, 2014; Revised April 27, 2015; Online July 17, 2015

In many industrial applications, tilting pad journal bearings (TPJBs) are increasingly used because they are very suitable both for high-speed and high external loads. Their study is fundamental in rotating machines and a compromise between accuracy and numerical efficiency is mandatory to achieve reliable results in a reasonable time. This paper mainly focuses on the development of efficient three-dimensional (3D) models of TPJBs, in order to contemporaneously describe both the rotor dynamics of the system and the lubricant supply plant in long simulations (from the initial transient phase to the steady-state condition). Usually, these two aspects are studied separately, but their interactions must be considered if an accurate description of the whole system is needed. The proposed model architecture considers all the six degrees-of-freedom (DOFs) between supporting structures and rotors and can be applied to different types of TJPB layout with different lubricant supply plants. In this research activity, the whole model has been developed and validated in collaboration with Nuovo Pignone General Electric S.p.a. which provided the required technical and experimental data.

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Lu, Y. J., Ji, L. F., Zhang, Y. F., Wu, Y., Liu, Y. Y., and Yu, L., 2010, “Dynamic Behaviours of the Rotor Non-Linear System With Fixed and Tilting-Pad Journal Bearings Support,” Proc. Inst. Mech. Eng., Part J, 224(10), pp. 1037–1047. [CrossRef]
Pagano, S., Rocca, E., Russo, M., and Russo, R., 1995, “Dynamic Behaviour of Tilting-Pad Journal Bearings,” Proc. Inst. Mech. Eng., Part J, 209(4), pp. 275–285. [CrossRef]
Gjika, K., San Andrés, L., and Larue, G. D., 2010, “Nonlinear Dynamic Behavior of Turbocharger Rotor-Bearing Systems With Hydrodynamic Oil Film and Squeeze Film Damper in Series: Prediction and Experiment,” ASME J. Comput. Nonlinear Dyn., 5(4), p. 041006. [CrossRef]
Wang, Y. L., Liu, Z. S., Kang, W. J., and Yan, J. J., 2011, “Approximate Analytical Model for Fluid Film Force of Finite Length Plain Journal Bearing,” Proc. Inst. Mech. Eng., Part C, 226(5), pp. 1345–1355. [CrossRef]
Nicholas, J. C., 1994, “Tilting Pad Bearing Design,” Proceedings of the Twenty-Third Turbomachinery Symposium, Turbomachinery Laboratory, Texas A&M University, College Station, TX, pp. 179–194.
Karnopp, D. C., Margolis, D. L., and Rosenberg, R. C., 2005, System Dynamics—Modeling and Simulation of Mechatronic Systems, 4th ed., Wiley, New York.
Incropera, F. P., and DeWitt, D. P., 1996, Fundamentals of Heat and Mass Transfer, 4th ed., Wiley, New York.
Brugier, D., and Pasal, M. T., 1989, “Influence of Elastic Deformations of Turbo-Generator Tilting Pad Bearings on the Static Behavior and on the Dynamic Coefficients in Different Designs,” ASME J. Tribol., 111(2), pp. 364–371. [CrossRef]
Bouyer, J., and Fillon, M., 2004, “On the Significance of Thermal and Deformation Effects on a Plain Journal Bearing Subjected to Severe Operating Conditions,” ASME J. Tribol., 126(4), pp. 819–822. [CrossRef]
Chang, Q., Yang, P., Meng, Y., and Wen, S., 2002, “Thermoelastohydrodynamic Analysis of the Static Performance of Tilting-Pad Journal Bearings With the Newton–Raphson Method,” Tribol. Int., 35(4), pp. 225–234. [CrossRef]
Gertzos, K. P., Nikolakopoulos, P. G., and Papadopoulos, C. A., 2008, “CFD Analysis of Journal Bearing Hydrodynamic Lubrication by Bingham Lubricant,” Tribol. Int., 41(12), pp. 1190–1204. [CrossRef]
Kumar, A., and Booker, J. F., 1991, “A Finite Element Cavitation Algorithm: Application/Validation,” ASME J. Tribol., 113(2), pp. 255–260. [CrossRef]
Bonneau, D., and Hajjam, M., 2001, “Modélisation de la Rupture et de la Formation des Films Lubrifiants Dans les Contacts Élastohydrodynamiques,” Rev. Eur. Elém. Finis, 10(6–7), pp. 679–704. [CrossRef]
Lund, J. W., 1964, “Spring and Damping Coefficients for the Tilting-Pad Journal Bearing,” ASLE Trans., 7(4), pp. 342–352. [CrossRef]
Genta, G., 1993, Vibration of Structures and Machines—Practical Aspects, 2nd ed., Springer-Verlag, New York.
Genta, G., 2005, Dynamics of Rotating Systems, Springer, New York.
Rieger, N. F., and Crofoot, J. F., 1977, Vibrations of Rotating Machinery, Part I: Rotor-Bearing Dynamics, The Vibration Institute, Clarendon Hills, IL.
Schmied, J., Fedorov, A., and Grigoriev, B. S., 2010, “Non Synchronous Tilting Pad Bearing Characteristics,” Proceedings of the 8th IFToMM International Conference on Rotordynamics, KIST, Seoul, Korea, pp. 12–15.
Cha, M., Isaksson, P., and Glavatskih, S., 2013, “Influence of Pad Compliance on Nonlinear Dynamic Characteristics of Tilting Pad Journal Bearings,” Tribol. Int., 57, pp. 46–53. [CrossRef]
Ying, J., Jiao, Y., and Chen, Z., 2011, “Nonlinear Dynamic Analysis of Tilting Pad Journal Bearing-Rotor System,” Shock Vib., 18(1–2), pp. 45–52. [CrossRef]
Haugaard, A., Santos, M., and Ilmar, F., 2010, “Elastohydrodynamics Applied to Active Tilting-Pad Journal Bearings,” ASME J. Tribol., 132(2), p. 021702. [CrossRef]
Nuovo Pignone General Electric SpA, 2012, “Journal Bearing Sizing,” Internal Report of GE, Report No. 400350.
Hamrock, B. J., Fundamentals of Fluid Film Lubrication, McGraw-Hill, London, UK.
Nuovo Pignone General Electric SpA, 2011, “Technical Note: 3BCL1005 Mechanical Running Test, SOS0406474,” Internal Report of GE, Report No. 406474.
Bauchau, O. A., and Han, S., 2014, “Three-Dimensional Beam Theory for Flexible Multibody Dynamics,” ASME. J. Comput. Nonlinear Dyn., 9(4), p. 041011. [CrossRef]
Monmousseau, P., and Fillon, M., 1999, “Analysis of Static and Dynamic Misaligned Tilting-Pad Journal Bearings,” Proc. Inst. Mech. Eng., Part J, 213(4), pp. 253–261. [CrossRef]
Jiazhong, Z., Wei, K., and Yan, L., 2008, “Numerical Method and Bifurcation Analysis of Jeffcott Rotor System Supported in Gas Journal Bearings,” ASME J. Comput. Nonlinear Dyn., 4(1), p. 011007. [CrossRef]
Friswell, M. I., Penny, J. E. T., Garvey, S. D., and Lees, A. W., 2010, Dynamics of Rotating Machines, Cambridge University Press, Cambridge, UK, p. 512.
Yu, L., and Qi, X., 2012, “Bond-Graph Modelling in System Engineering,” International Conference on Systems and Informatics, pp. 376–379.
Malik, A., and Khurshid, A., 2003, “Bond Graph Modelling and Simulation of Mechatronic Systems,” Proceedings IEEE INMIC, pp. 309–314.
Conti, R., Lo Presti, G., Pugi, L., Quartieri, E., Rindi, A., and Rossin, S., 2013, “A Preliminary Study of Thermal Hydraulic Models for Virtual Hazard and Operability Analysis and Model Based Design of Rotating Machine Packages,” Proc. Inst. Mech. Eng., Part E, 228(4), pp. 255–271. [CrossRef]
Kulakowski, B. T., Gardner, J. F., and Shearer, J. L., 2007, Dynamic Modeling and Control of Engineering Systems, Cambridge University Press, Cambridge, UK.
Bendat, J. S., and Piersol, A. G., 1993, Engineering Applications of Correlation and Spectral Analysis, Wiley, New York.
Ashino, R., Nagase, M., and Vaillancourt, R., 2000, “Behind and Beyond the MATLAB ODE Suite,” Comput. Math. Appl., 40(4–5), pp. 491–512. [CrossRef]
Kelley, C. T., 2003, “Solving Nonlinear Equations With Newton's Method,” No. 1 in Fundamentals of Algorithms, SIAM, Philadelphia, PA.
van der Vorst, H. A., 1992, “Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems,” SIAM J. Sci. Stat. Comput., 13(2), pp. 631–644. [CrossRef]
Strang, G., and Fix, G., 1973, “An Analysis of the Finite Element Method,” Prentice-Hall, Englewood Cliffs, NJ.
Markin, D., McCarthy, D. M. C., and Glavatskih, S. B., 2002, “A FEM Approach to Simulation of Tilting-Pad Thrust Bearing Assemblies,” Tribol. Int., 36(11), pp. 807–814. [CrossRef]
Sudheer Kumar Reddy, D., Swarnamani, S., and Prabhu, B. S., 1997, “Experimental Investigation on the Performance Characteristics of Tilting Pad Journal Bearings for Small L/D Ratios,” Wear, 212(1), pp. 33–40. [CrossRef]
Allaire, P. E., Parsell, J. K., and Barrett, L. E., 1981, “A Pad Perturbation Method for the Dynamic Coefficients of Tilting Pad Journal Bearings,” Wear, 72(1), pp. 29–44. [CrossRef]
Glavatskih, S. B., Fillon, M., and Larsson, R., 2002, “The Significance of Oil Thermal Properties on the Performance of a Tilting-Pad Thrust Bearing,” ASME J. Tribol., 124(2), pp. 377–385. [CrossRef]
Almqvist, T., Glavatskih, S. B., and Larsson, R., 2000, “THD Analysis of Tilting Pad Thrust Bearing Comparison Between Theory and Experiments,” ASME J. Tribol., 122(2), pp. 412–417. [CrossRef]
Glavatskih, S., 2001, “Steady State Performance Characteristics of a Tilting Pad Thrust Bearing,” ASME J. Tribol., 123(3), pp. 608–615. [CrossRef]
Dimond, T., Younan, A., and Allaire, P., 2011, “A Review of Tilting Pad Bearing Theory,” Int. J. Rotating Mach., 2011, p. 908469. [CrossRef]
Ma, L. F., and Zhang, X. Z., 2000, “Numerical Simulation of Nonlinear Oil Film Forces of Tilting-Pad Guide Bearing in Large Hydro-Unit,” Int. J. Rotating Mach., 6(5), pp. 345–353. [CrossRef]
Kreith, F., 1997, The CRC Handbook of Mechanical Engineering, CRC Press, Boca Raton, FL.
Awrejcewicz, J. J., Krysko, A. V., Soldatov, V. V., and Krysko, V. A., 2011, “Analysis of the Nonlinear Dynamics of the Timoshenko Flexible Beams Using Wavelets,” ASME. J. Comput. Nonlinear Dyn., 7(1), p. 011005. [CrossRef]
Hussein, B. A., Sugiyama, H., and Shabana, A. A., 2006, “Coupled Deformation Modes in the Large Deformation Finite-Element Analysis: Problem Definition,” ASME. J. Comput. Nonlinear Dyn., 2(2), pp. 146–154. [CrossRef]


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Fig. 1

TPJB representation

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Fig. 2

General architecture of the whole model

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Fig. 3

Numerical flow chart of the proposed algorithm

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Fig. 4

TPJB structure and control volume

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Fig. 5

Geometrical layout of system

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Fig. 7

Oil film mesh and boundary conditions

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Fig. 8

Numerical flow chart of the solution algorithm

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Fig. 9

Simple scheme of the lubrication testing system in Massa–Carrara

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Fig. 10

Flow rates results: proposed model compared to experimental data

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Fig. 11

Orbit described by the rotor fraction center during the steady-state phase

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Fig. 12

Rotor fraction displacement xA and yA along the x and y axis

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Fig. 13

Displacement of the pad angular position γpadi

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Fig. 15

Resistant torque produced by the bearing Mz,A

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Fig. 16

Rotor fraction displacement xA and yA and orbit described by the rotor fraction center before and after the stability limit (25,000 rpm)

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Fig. 17

3D representation of the pressure fields p on the surfaces of the four pads Spad

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Fig. 18

3D representation of the speed fields v¯ on the surfaces of the four pads Spad

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Fig. 19

Pressure variations along Stang

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Fig. 20

Mean lines of the four pads




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