Skip to main content
  • Published:

Modelica-based object-orient modeling of rotor system with multi-faults

Abstract

Modelica-based object-orient method is proved to be rapid, accurate and easy to modify, which is suitable for prototype modeling and simulation of rotor system, whose parameters need to be modified frequently. Classical non-object-orient method appears to be inefficient because the code is difficult to modify and reuse. An adequate library for object-orient modeling of rotor system with multi-faults is established, a comparison with non-object-orient method on Jeffcott rotor system and a case study on turbo expander with multi-faults are implemented. The relative tolerance between object-orient method and non-object-orient is less than 0.03%, which proves that these two methods are as accurate as each other. Object-orient modeling and simulation is implemented on turbo expander with crack, rub-impact, pedestal looseness and multi-faults simultaneously. It can be conclude from the case study that when acting on compress side of turbo expander separately, expand wheel is not influenced greatly by crack fault, the existence of rub-impact fault forces expand wheel into quasi-periodic motion and the orbit of expand wheel is deformed and enhanced almost 1.5 times due to pedestal looseness. When acting simultaneously, multi-faults cannot be totally decomposed but can be diagnosed from the feature of vibration. Object-orient method can enhance the efficiency of modeling and simulation of rotor system with multi-faults, which provides an efficient method on prototype modeling and simulation.

References

  1. JEFFCOTT H H. The lateral vibration of loaded shafts in the neighbourhood of a whirling speed-The effect of want of balance[J]. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1919, 37(219): 304–314.

    Article  MATH  Google Scholar 

  2. FÖPPL A. Das problem der lavalschen turbinenwelle[J]. Der Civilingenieur, 1895, 4: 335–342.

    Google Scholar 

  3. PROHL M A. A general method for calculating critical speeds of flexible rotors[J]. Journal of Applied Mechanics, 1945, 12(3): 142–148.

    Google Scholar 

  4. HORNER G C, PILKEY W D. The Riccati transfer matrix method[J]. Theory of Acoustic Filters, 1977, 883–885.

    Google Scholar 

  5. RUHL R L, BOOKER J F. A finite element model for distributed parameter turborotor systems[J]. Journal of Engineering for Industry, 1972, 94(1): 126–134.

    Article  Google Scholar 

  6. ZORZI E S, NELSON H D. Finite element simulation of rotor-bearing systems with internal damping[J]. Journal of Engineering for Power, 1977, 99(1): 71–76.

    Article  Google Scholar 

  7. JING Jianping, MENG Guang, SUN Yi, et al. On the oil-whipping of a rotor-bearing system by a continuum model[J]. Applied Mathematical Modelling, 2005, 29(5): 461–475.

    Article  MATH  Google Scholar 

  8. RAO J S, SREENIVAS R. Dynamics of a three level rotor system using solid elements[C]// ASME Turbo Expo, Atlanta, US, 2003.

  9. YING Guangchi, MENG Guang, JING Jianping. Turbocharger rotor dynamics with foundation excitation[J]. Archive of Applied Mechanics, 2009, 79(4): 287–299.

    Article  MATH  Google Scholar 

  10. WANG Weimin, GAO Jinji, HUANG Liquan, et al. Experimental investigation on vibration control of rotor-bearing system with active magnetic exciter[J]. Chinese Journal of Mechanical Engineering, 2011, 24(6): 1 013–1 021.

    Article  MathSciNet  Google Scholar 

  11. HAN Fengtian, WU Qiuping, ZHANG Rong. Modeling and analysis of a micromotor with an electrostatically levitated rotor[J]. Chinese Journal of Mechanical Engineering, 2009, 22(1): 1–8.

    Article  MATH  Google Scholar 

  12. TIAN L, WANG W J, PENG Z J. Dynamic behaviours of a full floating ring bearing supported turbocharger rotor with engine excitation[J]. Journal of Sound and Vibration, 2011, 330(20): 4 851–4 874.

    Article  Google Scholar 

  13. ELMQVIST H, MATTSSON S E, OTTER M. Modelica-a language for physical system modeling, visualization and interaction[C]// IEEE Symposium on Computer-Aided Control System Design, Hawaii, US, 1999.

  14. ELMQVIST H. A structured model language for large continuous systems[D]. Lund Institute of Technology, 1978.

    Google Scholar 

  15. PETZOLD L R. Description of DASSL: a differential/algebraic system solver[R]. Sandia National Labs., Livermore, CA, US, 1982.

    Google Scholar 

  16. PULECCHI T, CASELLA F, LOVERA M. Object-oriented modelling for spacecraft dynamics: tools and applications[J]. Simulation Modelling Practice and Theory, 2010, 18(1): 63–86.

    Article  Google Scholar 

  17. BONVINI M, LEVA A. Object-oriented sub-zonal modelling for efficient energy-related building simulation[J]. Mathematical and Computer Modelling of Dynamical Systems, 2011, 17(6): 543–559.

    Article  Google Scholar 

  18. CAMMI A, CASELLA F, RICOTTI M E, et al. An object-oriented approach to simulation of IRIS dynamic response[J]. Progress in Nuclear Energy, 2011, 53(1): 48–58.

    Article  Google Scholar 

  19. MO Yufeng, MENG Guang. Dymola-based modeling of SRD in aircraft electrical system[J]. IEEE Transactions on Aerospace and Electronic Systems, 2006, 42(1): 220–227.

    Article  Google Scholar 

  20. CHEN Qiongzhong, MENG Guang, MO Yufeng, et al. Analytical nonlinear modeling of SRM and its system-level simulation with airborne power system[C]//IEEE International Conference on Industrial Technology, Chengdu, China, 2008.

  21. ZHOU Fanli, CHEN Liping, WU Yizhong, et al. MWorks: a modern IDE for modeling and simulation of multidomain physical systems based on Modelica[C]//Proceedings of the 5th International Modelica Conference, Vienna, Austria, 2006.

  22. PAPADOPOULOS C A, DIMAROGONAS A D. Stability of cracked rotors in the coupled vibration mode[J]. Rotating Machinery Dynamics, 1987, 25–34.

    Google Scholar 

  23. GASCH R. A survey of the dynamic behaviour of a simple rotating shaft with a transverse crack[J]. Journal of Sound and Vibration, 1993, 160(2): 313–332.

    Article  MATH  Google Scholar 

  24. SEKHAR A S. Vibration characteristics of a cracked rotor with two open cracks[J]. Journal of Sound and Vibration, 1999, 223(4): 497–512.

    Article  Google Scholar 

  25. MENG Guang. The nonlinear influences of whirl speed on the stability and response of a cracked rotor[J]. Journal of Machine Vibration, 1992, 6(4): 216–230.

    Google Scholar 

  26. GRABOWSKI B. The vibrational behavior of a turbine rotor containing a transverse crack[J]. Journal of Mechanical Design, 1980, 102: 140–146.

    Article  Google Scholar 

  27. MAYES I W, DAVIES W G R. Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor[J]. Journal of vibration, acoustics, stress, and reliability in design, 1984, 106(1): 139–145.

    Article  Google Scholar 

  28. SAWICKI J T, GYEKENYESI A L, BAAKLINI G Y. Analysis of transient response of cracked flexible rotor[J]. Proceedings of SPIE, 2004, 5 393: 142–150.

    Article  Google Scholar 

  29. GAO Jianmin, ZHU Xiaomei. Study on the model of the shaft crack opening and closing[J]. Chinese Journal of Applied Mechanics, 1992, 9(1): 108–112. (in Chinese)

    MathSciNet  Google Scholar 

  30. MUSZYNSKA A. Rub-an important malfunction in rotating machinery[C]//Proceeding of Senior Mechanical Engineering Seminar. Carson City, NV, US, 1983: 61–66.

    Google Scholar 

  31. MUSZYNSKA A. Stability of whirl and whip in rotor/bearing systems [J]. Journal of Sound and Vibration, 1988, 127(1): 49–64.

    Article  MathSciNet  Google Scholar 

  32. CHU F, ZHANG Z. Bifurcation and chaos in a rub-impact Jeffcott rotor system[J]. Journal of Sound and Vibration, 1998, 210(1): 1–18.

    Article  Google Scholar 

  33. MUSZYNSKA A, GOLDMAN P. Chaotic responses of unbalanced rotor/bearing/stator systems with looseness or rubs[J]. Chaos, Solitons & Fractals, 1995, 5(9): 1 683–1 704.

    Article  Google Scholar 

  34. WEN Bangchun, LI Zhenping, YAO Hongliang. Dynamics of rotorbearing system with coupling faults of pedestal looseness and rub-impact[C]//11th World Congress in Mechanism and Machine Science. Tianjin, China, 2004: 2 163–2 168.

    Google Scholar 

  35. CHU F, TANG Y. Stability and non-linear responses of a rotor-bearing system with pedestal looseness[J]. Journal of Sound and Vibration, 2001, 241(5): 879–893.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongguang Li.

Additional information

This project is supported by National Basic Research Program of China (973 Program, Grant No. 2011CB706502)

LI Ming, born in 1985, is currently a PhD candidate at State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, China. His research interests include rotor dynamics, signal processing and guided wave.

WANG Yu, born in 1985, is currently a PhD candidate at State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, China. His research interest is rotor dynamics.

LI Fucai, born in 1976, is currently an associate professor at Shanghai Jiao Tong University, China. His research interests include structural health monitoring, mechanical fault diagnosis, vibration analysis and signal processing.

LI Hongguang, born in 1972, is currently a professor at Shanghai Jiao Tong University, China. His research interests include vibration analysis and control, rotor dynamics, and nonlinear dynamics.

MENG Guang, born in 1961, is currently a professor at Shanghai Jiao Tong University, China. His research interests include vibration analysis and control, rotor dynamics, smart material and structure, nonlinear dynamics and MEMS.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, M., Wang, Y., Li, F. et al. Modelica-based object-orient modeling of rotor system with multi-faults. Chin. J. Mech. Eng. 26, 1169–1181 (2013). https://doi.org/10.3901/CJME.2013.06.1169

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3901/CJME.2013.06.1169

Key words