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Modelling of the diagnostic station operation process to identify damage to the wheel rim structure

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Abstract

This paper presents a method of constructing a mathematical model of a diagnostic station to identify the vibration spectrum of wheel rims in order to identify their technical condition. The method for diagnosing the technical state of a wheel rim is based on comparative analysis of time runs and a change in the natural frequencies in relation to the model runs. During the tests carried out according the developed method, the vibration spectrum was obtained through dynamic excitement of vibrations of the examined rim mounted on the diagnostic station by using a mechanical exciter of known impact energy. As a part of the mathematical model construction, a structural analysis was carried out and the stiffness coefficient, necessary for the description of the phenomenon, was determined using Sobol’s grid. The obtained simulation results were compared to the results obtained in empirical tests on the diagnostic station for the wheel rim, which confirmed the correctness of the proposed model, as well as the method for identifying the technical condition of the wheel rim.

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Abbreviations

A :

Amplitudes

C :

Stiffness coefficient

D :

Damping factor

d :

Diameter

E :

Yung module

F :

Force

L :

Shaft length

m :

Mass

n :

Number element

Q :

Relative performance quality

t :

Time

x :

Displacement

ρ :

Density

References

  1. S. Doebling, C. Farrar and M. Prime, A review of damage identification methods that examine changes in dynamic properties, The Shock and Vibration Digest, 30 (2) (1998) 91–105.

    Article  Google Scholar 

  2. B. Mandal and A. Chakrabarti, Elasto-plastic damage model considering cohesive matrix interface layers for composite laminates, Journal of Mechanical Science and Technology, 32 (1) (2018) 121–127.

    Article  Google Scholar 

  3. J. Dos Santos, N. Maia and C. Soares, Structural Damage Identification: A Survey. Trends in Computational Structures Technology, Saxe-Coburg Publication, Stirlingshire (2008) 1–24.

    Book  Google Scholar 

  4. J. Cattarius and D. Inman, Time domain analysis for damage detection in smart structures, Mechanical Systems and Signal Processing, 11 (3) (1997) 409–423.

    Article  Google Scholar 

  5. Z. Lu and S. Law, Features of dynamic response sensitivity and its application in damage detection, Journal of Sound and Vibration, 303 (1) (2007) 305–329.

    Article  Google Scholar 

  6. R. Koushik and S. Ray-Chaudhuri, Fundamental mode shape and its derivatives in structural damage localization, Journal of Sound and Vibration, 332 (21) (2013) 5584–5593.

    Article  Google Scholar 

  7. S. Liberatore and G. Carman, Power spectral density analysis for damage identification and location, Journal of Sound and Vibration, 274 (3) (2004) 761–776.

    Article  Google Scholar 

  8. A. Rychlik, M. Borecki and M. L. Korwin-Pawlowski, Noninvasive method of car wheel, Proc. of SPIE, 10808 (2018).

  9. A. Rychlik, Wheel rim state assessment using modal and geometrical parameters, MATEC Web Conferences, 182 (2018).

  10. R. Statnikov, A. Bordetsky and A. Statnikov, Multicriteria analysis of real-life engineering optimization problems. statement and solutions, Nonlinear Analysis: Theory, Methods & Applications, 63 (5-7) (2005) e685–e696.

    Article  MATH  Google Scholar 

  11. I. Sobol and R. Statnikov, Choice of Optimal Parameters in a Framework with Many Criteria, Drofa, Moskwa, Russia (2006).

    Google Scholar 

  12. D. H. Hodges and M. J. Rutkowski, Free-vibration analysis of rotating beams by a variable-order finite-element method, AIAA Journal, 19 (11) (1981) 1459–1466.

    Article  MATH  Google Scholar 

  13. M. Salehi and E. S. Mohammadi, Optimization of the inner product vector method and its application to structural health monitoring, Journal of Vibroengineering, 19 (4) (2017) 2578–2585.

    Article  Google Scholar 

  14. W. Heylen, S. Lammens and P. Sas, Modal Analysis Theory and Testing, Katholieke Univeriteit Leuven, Heverlee (2017).

    Google Scholar 

Download references

Acknowledgments

This research was conducted under NCBR project no. POIR.01.01.01-00-1746/15 by POLKAR Warmia Sp. z o., ul. Fabryczna 21, 11-040 Dobre Miasto, Poland.

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Warmia and Mazury, 11 Oczapowskiego Str, Olsztyn, Poland

    Arkadiusz Rychlik & Oleksandr Vrublevskyi

  2. Department of Internal Combustion Engines, National Technical University “Kharkiv Polytechnic Institute”, 2 Kyrpychova Str., Kharkiv, Ukraine

    Andrey Prokhorenko

Authors
  1. Arkadiusz Rychlik
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  2. Oleksandr Vrublevskyi
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  3. Andrey Prokhorenko
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Corresponding author

Correspondence to Oleksandr Vrublevskyi.

Additional information

Recommended by Associate Editor Doo Ho Lee

Arkadiusz Rychlik, Ph.D., Engineer, is an employee of the Department of Vehicle and Machine Design and Operation of the University of Warmia and Mazury in Olsztyn, Poland.

Oleksandr Vrublevskyi, D.Sc., D.Eng., is Adjunct in the Department of Vehicle and Machine Design and Operation of the University of Warmia and Mazury in Olsztyn, Poland.

Andriy Prokhorenko, DSc., D.Eng., is a Professor in the Department of Internal Combustion Engines at National Technical University “Kharkiv Polytechnic Institute”, Ukraine.

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Rychlik, A., Vrublevskyi, O. & Prokhorenko, A. Modelling of the diagnostic station operation process to identify damage to the wheel rim structure. J Mech Sci Technol 33, 4129–4138 (2019). https://doi.org/10.1007/s12206-019-0808-x

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  • DOI: https://doi.org/10.1007/s12206-019-0808-x

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