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Dimensional analysis of a rotor system through FRF using transfer function and finite element methods

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Abstract

The dynamic characteristics of system, namely the damping ratio, natural frequency, and mode shape are extracted from the frequency response function (FRF). Obtaining dynamic characteristics through FRF on large rotor system is impractical owing to safety and cost. Therefore, the dimensional scale method to predict FRF on a large rotor system is proposed. The method begins by deriving the scaling factor of FRF followed by its validation using finite element (FE) and transfer function modeling. In this case, the transfer function completes the FE modeling to describe the FRF system and compensates the lack in FE modeling in dealing with complex support and shape. Assuming the damping ratio is constant, the characteristic of dimensional analysis through FRF is obtained and the complexity of the proposed method is also discussed.

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Abbreviations

FRF :

Frequency response function

p :

Scaling factor

FEM :

Finite element method

TF :

Transfer function

k 1,2 :

Stiffness

c 1,2 :

Damping coefficient

m 1,2 :

Mass

References

  1. W. E. Baker, F. T. Dodge and P. S. Westine, Similarity Methods in Engineering Dynamics, Theory and Practice of Scale Modeling, Elsevier Science Publisher (1991).

    Google Scholar 

  2. H.-K. So, T.-H. Jo, Y.-H. Lee, D.-W. Kim, B.-C. Koo and D.-H. Lee, Experimental analysis of HRSG for simulating internal flow behavior using Euler and swirl similitudes, Journal of Mechanical Science and Technology, 32 (10) (2018) 5031–5038.

    Article  Google Scholar 

  3. C. P. Coutinho, A. J. Baptista and J. D. Rodrigues, Reduced scale models based on similitude theory: A review up to 2015, Engineering Structures, 119 (2016) 81–94.

    Article  Google Scholar 

  4. Y. H. Tyng, O. Z. Chao, K. K. Kuan, Z. Ismail, A. G. A. Rahman and C. W. Tong, Similitude study of an in-service industrial piping system under high flow induced vibration, Journal of Mechanical Science and Technology, 31 (8) (2017) 3705–3713.

    Article  Google Scholar 

  5. Y. Zhu, Y. Wang, Z. Luo, Q. Han and D. Wang, Similitude design for the vibration problems of plates and shells: A review, Frontiers of Mechanical Engineering, 12 (2) (2017) 253–264.

    Article  Google Scholar 

  6. J.-J. Wu, Prediction of lateral vibration characteristics of a fullsize rotor-bearing system by using those of its scale models, Finite Elements in Analysis and Design, 43 (10) (2007) 803–816.

    Article  Google Scholar 

  7. J.-J. Wu, Prediction of the torsional vibration characteristics of a rotor-shaft system using its scale model and scaling laws, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 9 (2) (2015) 229–235.

    Google Scholar 

  8. H. Miao, C. Zang and M. I. Friswell, Dynamic similarity design method for an aero-engine dualrotor test rig, Journal of Physics: Conference Series, 744 (2016) 012109.

    Google Scholar 

  9. A. M. Iglesias, Investigating various modal analysis extraction techniques to estimate damping ratio, Master Thesis, Blacksburg, Virginia: Virginia Polytechnic Institute and State University (2000).

    Google Scholar 

  10. O. Omar, N. Tounsi, E.-G. Ng and M. A. Elbestawi, An optimized rational fraction polynomial approach for modal parameters estimation from FRF measurements, Journal of Mechanical Science and Technology, 24 (3) (2010) 831–842.

    Article  Google Scholar 

  11. T. L. Schmitz and K. S. Smith, Mechanical Vibrations, North Calorine, USA: Springer (2012).

    Book  Google Scholar 

  12. Z. Fei, S. Tong and C. Wei, Investigation of the dynamic characteristics of a dual rotor system and its start-up simulation based on finite element method, Journal of Zhejiang University Science A, 14 (4) (2013) 268–280.

    Article  Google Scholar 

  13. J. Metsebo, N. Upadhyay, P. K. Kankar and B. R. Nana Nbendjo, Modelling of a rotor-ball bearings system using Timoshenko beam and effects of rotating shaft on their dynamics, Journal of Mechanical Science and Technology, 30 (12) (2016) 5339–5350.

    Article  Google Scholar 

  14. M. Hashemi and M. Asghari, Investigation of the small-scale effects on the three-dimensional flexural vibration characteristics of a basic model for micro-engines, Acta Mechanica, 226 (9) (2015) 3085–3096.

    Article  MathSciNet  Google Scholar 

  15. T. A. Harris, Advance Concepts of Bearing Technology, Fifth Ed., CRC Press (2006).

    Book  Google Scholar 

  16. M. Karlberg, Approximated stiffness coefficients in rotor systems supported by bearings with clearance, International Journal of Rotating Machinery (2010) 1–5.

    Google Scholar 

  17. E. Kurvinen, J. Sopanen and A. Mikkola, Ball bearing model performance on various sized rotors with and without centrifugal and gyroscopic forces, Mech. Mach. Theory, 90 (2015) 240–260.

    Article  Google Scholar 

  18. Y. Guo and R. G. Parker, Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model, Mechanism and Machine Theory, 51 (2012) 32–45.

    Article  Google Scholar 

  19. H. Wang, J. Gong and G. Chen, Characteristics analysis of aero-engine whole vibration response with rolling bearing radial clearance, Journal of Mechanical Science and Technology, 31 (5) (2017) 2129–2141.

    Article  Google Scholar 

  20. B. Schwarz and M. Richardson, Proportional damping from experimental data, Conference Proceedings of the Society for Experimental Mechanics Series (2013) 179–186.

    Google Scholar 

  21. S. Adhikari, Damping modelling using generalized proportional damping, Journal of Sound and Vibration, 293 (1-2) (2006) 156–170.

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the SAINTEK Scholarship Program, the Ministry of Research and Higher Education, Republic of Indonesia.

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Bandung, 40132, Indonesia

    Dyah Kusuma Dewi, Zainal Abidin & Bagus Budiwantoro

  2. Mechanical Engineering Department, Faculty of Engineering, Universitas Andalas, Padang, 25163, Indonesia

    Jhon Malta

Authors
  1. Dyah Kusuma Dewi
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  2. Zainal Abidin
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  3. Bagus Budiwantoro
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  4. Jhon Malta
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Corresponding author

Correspondence to Dyah Kusuma Dewi.

Additional information

Dyah Kusuma Dewi received Master Degree at Institut Teknologi Bandung (ITB), Indonesia. She works as a Researcher at the Agency for the Assessment and Application of Technology and is currently pursuing her Ph.D. in the Dynamic Laboratory, Mechanical Engineering Department, Faculty of Mechanical and Aerospace Engineering, ITB.

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Dewi, D.K., Abidin, Z., Budiwantoro, B. et al. Dimensional analysis of a rotor system through FRF using transfer function and finite element methods. J Mech Sci Technol 34, 1863–1870 (2020). https://doi.org/10.1007/s12206-020-0407-x

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  • DOI: https://doi.org/10.1007/s12206-020-0407-x

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