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플로팅 링 베어링으로 지지된 터보차저 로터의 안정성 해석

Stability Analysis of Floating Ring Bearing Supported Turbocharger

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초록

The use of turbocharger in internal combustion engines has increased as it is a key components for improving system efficiency without increasing engine size. Because of increasing demand, many studies have evaluated rotordynamic performance so as to increase rotation speed. This paper presents a linear and nonlinear analysis model for a turbocharger rotor supported by a floating ring bearing. We constructed rotor model by using the finite element method and approximated bearings as being infinitely short. In the linear model, we considered fluid film force as stiffness and damping element. In nonlinear analysis, calculation of the fluid film force involved solving the time dependent Reynolds equation. We verified the developed model by comparing the results to those of previous research. The analysis results show that there are four unstable modes, which are rigid body modes combining ring and rotor motion. As the rotating speed increases, the logarithmic decrement shows that certain unstable modes goes into the stable area or the stable mode goes into the unstable area. These unstable modes appear as sub-synchronous vibrations in nonlinear analysis. In nonlinear analysis frequency jump phenomenon demonstrated in several experimental studies appears. The analysis results also showed that frequency jump phenomenon occurs when the vibration mode changes and the sequence of unstable mode matches the linear analysis result. However, the natural frequency predicted using linear analysis differs from those obtained using nonlinear analysis.

Abstract

The use of turbocharger in internal combustion engines has increased as it is a key components for improving system efficiency without increasing engine size. Because of increasing demand, many studies have evaluated rotordynamic performance so as to increase rotation speed. This paper presents a linear and nonlinear analysis model for a turbocharger rotor supported by a floating ring bearing. We constructed rotor model by using the finite element method and approximated bearings as being infinitely short. In the linear model, we considered fluid film force as stiffness and damping element. In nonlinear analysis, calculation of the fluid film force involved solving the time dependent Reynolds equation. We verified the developed model by comparing the results to those of previous research. The analysis results show that there are four unstable modes, which are rigid body modes combining ring and rotor motion. As the rotating speed increases, the logarithmic decrement shows that certain unstable modes goes into the stable area or the stable mode goes into the unstable area. These unstable modes appear as sub-synchronous vibrations in nonlinear analysis. In nonlinear analysis frequency jump phenomenon demonstrated in several experimental studies appears. The analysis results also showed that frequency jump phenomenon occurs when the vibration mode changes and the sequence of unstable mode matches the linear analysis result. However, the natural frequency predicted using linear analysis differs from those obtained using nonlinear analysis.

참고문헌 (12)

  1. Rohde, S. M., "Analysis of dynamically loaded floating-ring bearings for automotive applications", J. of Lub. Tech, 102, pp.271~277 (1980)
  2. Orcutt, F., "Steady-state and dynamic properties of the floating-ring journal bearing", J. of Lub. Tech, 90, pp.243~253 (1968)
  3. Tanaka, M., "Stability characteristics of floating bush bearings", J. of Lub. Tech, 93, pp.248~259 (1972)
  4. Li, C. H., "On the steady state and dynamic performance characteristics of floating ring bearings", J. of Lub. Tech, 103, pp.389~397 (1981)
  5. Schweizer, B., "Nonlinear oscillations of automotive turbocharger turbines", J. of Sound and Vibration, 321, pp.955~975 (2009)
  6. Nakagawa, E., "Unbalance vibration of a rotor-bearing system supported by floating-ring journal bearings", Bulletin of JSME, 16, pp.503~512 (1973)
  7. Li, C. H., "Dynamics of rotor bearing systems supported by floating ring bearings", J. of Lub. Tech, 104, pp.469~476 (1982)
  8. Childs, D., "Journal bearing impedance descriptions for rotordynamic applications", J. of Lub. Tech, 99, pp.198~210 (1977)
  9. Tian, L., "Dynamic behaviours of a full floating ring bearing supported turbocharger rotor with engine excitation", J. of Sound and Vibration, 330, pp.4851~4874 (2011)
  10. Chen, W. J., "Introduction to Dynamics of Rotor Bearing Systmes, Chap. 5" (2007), Eigen Technologies
  11. Hamrock, B. J., "Fundamentals of fluid film lubrication, Chap.10" (1994), McGraw Hill
  12. Lee, D., "The dynamic performance analysis of foil journal bearings considering coulomb friction : Rotating unbalance response", J. Korean Soc. Tribol. Lubr. Eng, 23(5), pp.219~227 (2007)

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