Combined Explicit Finite and Discrete Element Methods for Rotor Bearing Dynamic Modeling

REFERENCES

• Ehrich, F.F. (1992), Handbook of Rotordynamics, New York: McGraw-Hill.
   Google Scholar
• Childs, D. (1993), Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis, New York: John Wiley & Sons, Inc.
   Google Scholar
• Yamamoto, T. and Ishida, Y. (2001), Linear and Nonlinear Rotordynamics: A Modern Treatment with Applications, New York: John Wiley & Sons.
   Google Scholar
• Muszynska, A. (1988), “Stability of Whirl and Whip in Rotor/Bearing Systems,” Journal of Sound and Vibration, 127(1), pp 49–64.
   Web of Science ®Google Scholar
• Adiletta, G., Guido, A.R., and Rossi, C. (1996), “Chaotic Motions of a Rigid Rotor in Short Journal Bearings,” Nonlinear Dynamics, 10(3), pp 251–269.
   Web of Science ®Google Scholar
• Saito, S. (1994), “Nonlinear Vibration of Horizontal Jeffcott Rotors Supported by Oil Film Damper Bearings Have No Centering Springs: Calculation of Nonlinear Imbalance Response and Forced Damped Natural Frequency,” JSME International Journal, 37(1), pp 55–60.
   Web of Science ®Google Scholar
• Chen, C.L. and Yau, H.T. (1998), “Chaos in the Imbalance Response of a Flexible Rotor Supported by Oil Film Bearings with Non-Linear Suspension,” Nonlinear Dynamics, 16(1), pp 71–90.
   Web of Science ®Google Scholar
• Ding, Q. and Leung, A.Y. T. (2002), “Non-Stationary Processes of Rotor/bearing System in Bifurcations,” Journal of Sound and Vibration, 268(1), pp 33–48.
   Web of Science ®Google Scholar
• Wang, J.K. and Khonsari, M.M. (2006), “Bifurcation Analysis of a Flexible Rotor Supported by Two Fluid-Film Journal Bearings.” Journal of Tribology, 128(3), pp 594–603.
   Web of Science ®Google Scholar
• Kirk, R.G., Alsaeed, A.A., and Gunter, E.J. (2007), “Stability Analysis of a High-Speed Automotive Turbocharger,” Tribology Transactions, 50(3), pp 427–434.
   Web of Science ®Google Scholar
• Schweizer, B. (2009), “Total Instability of Turbocharger Rotors—Physical Explanation of the Dynamic Failure of Rotors with Full-Floating Ring Bearings.” Journal of Sound and Vibration, 328(1), pp 156–190.
   Web of Science ®Google Scholar
• Laha, S.K. and Kakoty, S.K. (2011), “Non-Linear Dynamic Analysis of a Flexible Rotor Supported on Porous Oil Journal Bearings,” Communications in Nonlinear Science and Numerical Simulation, 16(3), pp 1617–1631.
   Web of Science ®Google Scholar
• Sunnersjö, C. (1978), “Varying Compliance Vibrations of Rolling Bearings,” Journal of Sound and Vibration, 58, pp 363–373.
   Web of Science ®Google Scholar
• Fukata, S., Gad, E.H., Kondou, T., Ayabe, T., and Tamura, H. (1985), “On the Radial Vibrations of Ball Bearings (Computer Simulation),” Bulletin of the JSME, 28, pp 899–904.
   Google Scholar
• Mevel, B. and Guyader, J.L. (1993), “Routes to Chaos in Ball Bearings,” Journal of Sound and Vibration, 162, pp 471–487.
   Web of Science ®Google Scholar
• Gupta, P.K. (2011), “Current Status of and Future Innovations in Rolling Bearing Modeling,” Tribology Transactions, 54(3), pp 394–403.
   Web of Science ®Google Scholar
• Gupta, P.K. (1984), Advanced Dynamics of Rolling Elements, Springer-Verlag: New York.
   Google Scholar
• Saheta, V. (2001), Dynamics of Rolling Element Bearings Using Discrete Element Method, M.S. Thesis, Purdue University: West Lafayette, IN.
   Google Scholar
• Ghaisas, N., Wassgren, C., and Sadeghi, F. (2004), “Cage Instabilities in Cylindrical Roller Bearings,” Journal of Tribology, 126(4), pp 681–689.
   Web of Science ®Google Scholar
• Houpert, L. (2010), “CAGEDYN: A Contribution to Roller Bearing Dynamics Calculations; Part I: Base Tribology Concepts,” Tribology Transactions, 53(1), pp 1–9.
   Web of Science ®Google Scholar
• Pederson, B., Sadeghi, F., and Wassgren, C. (2006), “The Effect of Cage Flexibility on Ball-to-Cage Pocket Contact Forces and Cage Instability in Deep Groove Ball Bearing,” SAE Paper No. 2006-01-0358.
   Google Scholar
• Weinzapfel, N. and Sadeghi, F. (2009), “A Discrete Element Approach for Modeling Cage Flexibility in Ball Bearing Dynamics Simulations,” Journal of Tribology, 131(2), p 021102.
   Web of Science ®Google Scholar
• Ashtekar, A. and Sadeghi, F. (2012), “A New Approach for Including Cage Flexibility in Dynamic Bearing Models by Using Combined Explicit Finite and Discrete Element Methods,” Journal of Tribology, 134(4), p 041502.
   PubMed Web of Science ®Google Scholar
• 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,” Journal of Engineering for Gas Turbines and Power, 133(8), p 082501.
   Web of Science ®Google Scholar
• Stacke, L., Fritzson, D., and Nordling P. (1999), “BEAST—A Rolling Bearing Simulation Tool,” Proceedings of the Institution of Mechanical Engineers - Part K: Journal of Multi-Body Dynamics, 213(2), pp 63–71.
   Google Scholar
• Desai, A. (2007), Analytical and Experimental Investigation of Effect of Cage and Shaft Flexibility on Dynamics of Bearing Shaft Systems, M.S. Thesis, Purdue University: West Lafayette, IN.
   Google Scholar
• Ashtekar, A. and Sadeghi, F. (2011), “Experimental and Analytical Investigation of High Speed Turbocharger Ball Bearings,” Journal of Engineering for Gas Turbines and Power, 133(12), p 122501.
   Web of Science ®Google Scholar
• Wensing, J.A. (1998), On the Dynamics of Ball Bearings, Ph.D. Thesis, University of Twente: Enschede, The Netherlands.
   Google Scholar
• Sakaguchi, T. and Kazuyoshi, H. (2009), “Dynamic Analysis of Cage Stress in a Tapered Roller Bearing Using Component-Mode-Synthesis Method,” Journal of Tribology, 131(1), p 011102.
   Web of Science ®Google Scholar
• Hamrock, B., Schmid, S., and Jacobson, B. (2004), Fundamentals of Fluid Film Lubrication, Marcel Dekker: New York.
   Google Scholar
• Gupta, P.K. (1975), “Generalized Dynamic Simulation of Skid in Ball Bearings,” Journal of Aircraft, 12, pp 260–265.
   Google Scholar
• Gupta, P.K. (1974), “Transient Ball Motion and Skid in Ball Bearings,” Journal of Lubrication Technology, 97, pp 261–269.
   Web of Science ®Google Scholar
• Kragelskii, I.V. (1965), Friction and Wear, Butterworths: London.
   Google Scholar
• Wu, S.R. and Gu, L. (2012), Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics, New York: John Wiley & Sons.
   Google Scholar