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Research Papers: Other (Seals, Manufacturing)

Investigation of Turbocharger Dynamics Using a Combined Explicit Finite and Discrete Element Method Rotor–Cartridge Model

[+] Author and Article Information
Matthew D. Brouwer

School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: mbrouwe@purdue.edu

Farshid Sadeghi

Cummins Distinguished Professor
of Mechanical Engineering
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: sadeghi@purdue.edu

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received October 21, 2015; final manuscript received February 10, 2016; published online July 20, 2016. Assoc. Editor: Daniel Nélias.

J. Tribol 139(1), 012201 (Jul 20, 2016) (8 pages) Paper No: TRIB-15-1380; doi: 10.1115/1.4033101 History: Received October 21, 2015; Revised February 10, 2016

The objectives of this investigation were to develop a coupled dynamic model for turbocharger ball bearing rotor systems, correlate the simulated shaft motion with experimental results, and analyze the corresponding bearing dynamics. A high-speed turbocharger test rig was designed and developed in order to measure the dynamic response of a rotor under various operating conditions. Displacement sensors were used to record shaft motion over a range of operating speeds. To achieve the objectives of the analytical investigation, a discrete element angular contact ball bearing cartridge model was coupled with an explicit finite element shaft to simulate the dynamics of the turbocharger test rig. The bearing cartridge consists of a common outer ring, a pair of split inner races, and a row of balls on each end of the cartridge. The dynamic cartridge model utilizes the discrete element method in which each of the bearing components (i.e., races, balls, and cages) has six degrees-of-freedom. The rotor is modeled using the explicit finite element method. The cartridge and rotor models are coupled such that the motion of the flexible rotor is transmitted to the inner races of the cartridge with the corresponding reaction forces and moments from the bearings being applied to the rotor. The coupled rotor–cartridge model was used to investigate the shaft motion and bearing dynamics as the system traverses critical speeds. A comparison of the analytical and experimental shaft motion results resulted in minimal correlation but showed similarity through the critical speeds. The cartridge model allowed for thorough investigation of bearing component dynamics. Effects of ball material properties were found to have a significant impact on turbocharger rotor and bearing dynamics.

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References

Rezvani, M. A. , and Hahn, E. J. , 2000, “ Floating Ring Squeeze Film Damper: Theoretical Analysis,” Tribol. Int., 33(3–4), pp. 249–258. [CrossRef]
Brouwer, M. D. , Sadeghi, F. , Lancaster, C. , Archer, J. , and Donaldson, J. , 2013, “ Whirl and Friction Characteristics of High Speed Floating Ring and Ball Bearing Turbochargers,” ASME J. Tribol., 135(4), p. 041102. [CrossRef]
Wang, L. , Snidle, R. , and Gu, L. , 2000, “ Rolling Contact Silicon Nitride Bearing Technology: A Review of Recent Research,” Wear, 246(1–2), pp. 159–173. [CrossRef]
Li, C. , 1982, “ Dynamics of Rotor Bearing Systems Supported by Floating Ring Bearings,” ASME J. Lubr. Technol., 104(4), pp. 469–477. [CrossRef]
San Andres, L. , Rivadeneria, J. C. , Chinta, M. , Gjika, K. , and La Rue, G. , 2007, “ Nonlinear Rotordynamics of Automotive Turbochargers: Predictions and Comparisons to Test Data,” ASME J. Eng. Gas Turbines Power, 129(2), pp. 488–494. [CrossRef]
San Andres, L. , Rivadeneria, J. C. , Gjika, K. , Groves, G. , and La Rue, G. , 2007, “ A Virtual Tool for Prediction of Turbocharger Nonlinear Dynamic Response: Validation Against Test Data,” ASME J. Eng. Gas Turbines Power, 129(4), pp. 1035–1047. [CrossRef]
San Andres, L. , Rivadeneria, J. C. , Gjika, K. , Groves, G. , and La Rue, G. , 2007, “ Rotordynamics of Small Turbochargers Supported on Floating Ring Bearings—Highlights in Bearing Analysis and Experimental Validation,” ASME J. Tribol., 129(2), pp. 391–398. [CrossRef]
Kirk, R. G. , Alsaeed, A. A. , and Gunter, E. J. , 2007, “ Stability Analysis of a High-Speed Automotive Turbocharger,” Tribol. Trans., 50(3), pp. 427–434. [CrossRef]
Sunnersjö, C. , 1978, “ Varying Compliance Vibrations of Rolling Bearings,” J. Sound Vib., 58(3), pp. 363–373. [CrossRef]
Gupta, P. K. , 1984, Advanced Dynamics of Rolling Elements, Springer-Verlag, New York.
Saheta, V. , 2001, “ Dynamics of Rolling Element Bearings Using Discrete Element Method,” M.S. thesis, Purdue University, West Lafayette, IN.
Ghaisas, N. , Wassgren, C. , and Sadeghi, F. , 2004, “ Cage Instabilities in Cylindrical Roller Bearings,” ASME J. Tribol., 126(4), pp. 681–689. [CrossRef]
Gupta, T. C. , Gupta, K. K. , and Sehgal, D. K. , 2011, “ Instability and Chaos of a Flexible Rotor Ball Bearing System: An Investigation on the Influence of Rotating Imbalance and Bearing Clearance,” ASME J. Eng. Gas Turbines Power, 133(8), p. 082501. [CrossRef]
Stacke, L. , Fritzson, D. , and Nordling, P. , 1999, “ BEAST—A Rolling Bearing Simulation Tool,” Proc. Inst. Mech. Eng., Part K, 213(2), pp. 63–71.
Brouwer, M. D. , Sadeghi, F. , Ashtekar, A. , Archer, J. , and Lancaster, C. , 2015, “ Combined Explicit Finite and Discrete Element Methods for Rotor Bearing Dynamic Modeling,” Tribol. Trans., 58(2), pp. 300–315. [CrossRef]
Ashtekar, A. , and Sadeghi, F. , 2011, “ Experimental and Analytical Investigation of High Speed Turbocharger Ball Bearings,” ASME J. Eng. Gas Turbines Power, 133(12), p. 122501. [CrossRef]
Gupta, P. K. , 1979, “ Dynamics of Rolling-Element Bearings—Part I: Cylindrical Roller Bearing Analysis,” ASME J. Tribol., 101(3), pp. 293–302.
Liu, X. , Deng, S. , and Teng, H. , 2011, “ Dynamic Stability Analysis of Cages in High-Speed Oil-Lubricated Angular Contact Ball Bearings,” Trans. Tianjin Univ., 17(1), pp. 20–27. [CrossRef]
Brecher, C. , Hassis, A. , and Rossaint, J. , 2014, “ Cage Friction in High-Speed Spindle Bearings,” Tribol. Trans., 57(1), pp. 77–85. [CrossRef]
Krämer, E. , 1993, Dynamics of Rotors and Foundations, Springer-Verlag, Berlin.
Gargiulo, E. P., Jr. , 1980, “ A Simple Way to Estimate Bearing Stiffness,” Mach. Des., 52(17), pp. 107–110.
Gunter, E. J. , Barrett, L. E. , and Allaire, P. E. , 1977, “ Design of Nonlinear Squeeze Film Dampers for Aircraft Engines,” ASME J. Lubr. Technol., 99(1), pp. 57–64. [CrossRef]
Taylor, D. L. , and Kumar, B. R. K. , 1980, “ Nonlinear Response of Short Squeeze Film Dampers,” ASME J. Tribol., 102(1), pp. 51–58.
Vance, J. M. , 1988, Rotordynamics of Turbomachinery, Wiley, New York.
Hamrock, B. , Schmid, S. , and Jacobson, B. , 2004, Fundamentals of Fluid Film Lubrication, Marcel Dekker, New York.
Zeidan, F. Y. , San Andres, L. , and Vance, J. M. , 1996, “ Design and Application of Squeeze Film Dampers in Rotating Machinery,” 25th Turbomachinery Symposium, Texas A&M University, College Station, TX, pp. 169–188.
Harris, T. A. , 2001, Rolling Bearing Analysis, 4th ed., Wiley, New York.
Hamrock, B. J. , and Anderson, W. J. , 1983, “ Rolling-Element Bearings,” The National Aeronautics and Space Administration, Washington, DC, NASA Reference Publication 1105.

Figures

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Fig. 1

Turbocharger test rig

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Fig. 2

Measurement of the rotor motion

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Fig. 3

Cartridge cross section

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Fig. 4

Outer ring cross section with vectors locating outer raceway centroids in body fixed reference frame

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Fig. 5

Outer ring cross section with vectors locating the point of contact between ball and outer raceway in the inertial reference frame

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Fig. 6

Coupled rotor–cartridge model

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Fig. 7

Radius of the compressor orbit

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Fig. 8

Pressure at ball–outer raceway contact

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Fig. 9

Effect of ball material properties on rotor motion at 25 °C

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Fig. 10

Orbit of motion through cylindrical mode with ceramic balls

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Fig. 11

Ball–outer raceway normal force with (a) ceramic balls and (b) inferior and superior balls

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Fig. 12

Inner and outer raceway contact angles with (a) ceramic balls and (b) inferior and superior balls

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