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The needs of power spectral density in fatigue life prediction of heavy vehicle leaf spring

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Abstract

This study characterized the properties of random strain loading data for using power spectral density (PSD) in frequency domain of a heavy vehicle leaf spring. This is due to missing data caused by the sensitivity of the strain gauges in capturing strain signal. Strain signal was captured from a leaf spring component for 100 s at a sampling rate of 200 Hz using strain gauge. Fatigue life prediction was computed using strain-life models: Coffin-Manson, Morrow and Smith-Watson-Topper (SWT). The fatigue strain data showed that downhill data produces the lowest fatigue life prediction at 3.42 × 102 cycles/block with high energy of 3.6 × 104μɛ2.Hz-1; then it was followed by curve and highway data. This was supported by the root-mean-square (RMS) value at 324.24 μɛ as it is directly related towards the PSD based on the energy contained for each captured signal. The correlation of fatigue life and strain amplitude was calculated to identify the distribution of fatigue strain data of leaf spring. Thus, the fatigue strain loading data can be characterized properly based on the energy content in PSD, the statistical parameter in the form of RMS value and the correlation with strain amplitude for random strain loading of leaf spring.

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Abbreviations

A :

Amplitude

b :

Fatigue strength exponent

c :

Fatigue ductility exponent

D i :

Damage of one cycle

E :

Modulus of elasticity

ε a :

Strain amplitude

ε’ f :

Fatigue ductility coefficient

σ f :

Fatigue strength coefficient

σ m :

Mean stress

σ max :

Maximum stress

n :

Data points

N f :

Number of cycles

N fi :

Number of constant amplitude cycles

N i :

Number of applied cycles

ω :

Frequency

x :

Sampled order

References

  1. M. D. Teli, U. S. Chavan and H. G. Phakatkar, Design, analysis and experimental testing of composite leaf spring for application in electric vehicle, International J of Innovative Technology and Exploring Engineering, 8 (9) (2019) 2882–2891.

    Article  Google Scholar 

  2. P. Solanki and A. K. Kaviti, Design and computational analysis of semi-elliptical and parabolic leaf spring, Materials Today: Proceedings, 5 (2018) 19441–19455.

    Google Scholar 

  3. Nagendra and S. K. Srivastava, Fatigue life prediction of parabolic spring based on strain life theories, International J of Mechanical Engineering and Robotics Research, 3 (2014) 320–326.

    Google Scholar 

  4. K. A. Zakaria, M. I. F. Idris, S. Dharmalingam, S. Salleh, N. Sanusi and M. A. M. Daud, Fatigue strain signal characteristic and damage of automobile suspension system, ARPN J. of Engineering and Applied Sciences, 13 (2018) 221–225.

    Google Scholar 

  5. Y. S. Kong, M. Z. Omar, L. B. Chua and S. Abdullah, Ride quality assessment of bus suspension system through modal frequency response approach, Advances in Mechanical Engineering (2014) 1–17.

    Google Scholar 

  6. M. Mrsnik, J. Slavic and M. Boltezar, Frequency-domain methods for a vibration-fatigue-life estimation - Application to real data, International J. of Fatigue, 47 (2013) 8–17.

    Article  Google Scholar 

  7. B. Soleimani and E. Ahmadi, Evaluation and analysis of vibration during fruit transport as a function of road conditions, suspension system and travel speeds, Engineering in Agriculture, Environment and Food, 8 (1) (2015) 26–32.

    Article  Google Scholar 

  8. S. R. Prasad and A. S. Sekhar, Life estimation of shafts using vibration based fatigue analysis, J. of Mechanical Science and Technology, 32 (2018) 4071–4078.

    Article  Google Scholar 

  9. J. Zhang, J. Lu, W. Han and H. Li, Program load spectrum compilation for accelerated life test of parabolic leaf spring, International J. of Automotive Technology, 20 (2) (2019) 337–347.

    Article  Google Scholar 

  10. M. Mohammad, S. Abdullah, N. Jamaludin and O. Innayatullah, Fatigue life assessment of SAE 1045 carbon steel under strain events using the Weibull distribution, J. of Mechanical Engineering, 5 (1) (2018) 165–180.

    Google Scholar 

  11. D. S. Ramteke, A. Parey and R. B. Pachori, Automated gear fault detection of micron level wear in bevel gears using variational mode decomposition, J. of Mechanical Science and Technology, 33 (12) (2019) 5769–5777.

    Article  Google Scholar 

  12. A. Nilsson and B. Liu, Frequency domain, Vibro-Acoustics, Springer, Berlin, 1 (2015).

    Chapter  Google Scholar 

  13. A. A. A. Rahim, S. Abdullah, S. S. K. Singh and M. Z. Nuawi, Relationship between time domain and frequency domain strain signal - Application to real data, J. of Mechanical Engineering, 5 (6) (2018) 178–191.

    Google Scholar 

  14. Y. S. Kong, S. Abdullah, D. Schramm, M. Z. Omar and S. M. Haris, Vibration fatigue analysis of carbon steel coil spring under various road excitations, Metals, 8 (617) (2018) 1–22.

    Google Scholar 

  15. Y. S. Kong, S. Abdullah, S. M. Haris, M. Z. Omar and D. Schramm, Generation of artificial road profile for automobile spring durability analysis, J. Kejuruteraan, 30 (2) (2018) 123–128.

    Article  Google Scholar 

  16. X.-C. Zhang, H.-C. Li, X. Zeng, S.-T. Tu, C.-C. Zhang and Q.-Q. Wang, Fatigue behavior and bilinear Coffin-Manson plots of Ni-based GH4169 alloy with different volume fractions of δ phase, Materials Science and Engineering, 682 (2017) 12–22.

    Article  Google Scholar 

  17. P. E. Carrion, N. Shamsaei, S. R. Daniewicz and R. D. Moser, Fatigue behavior of Ti-6Al-4V ELI including mean stress effects, International J. of Fatigue, 9 (1) (2017) 87–100.

    Article  Google Scholar 

  18. S.-P. Zhu, Y. Liu, Q. Liu and Z.-Y. Yu, Strain energy gradient-based LCF life prediction of turbine discs using critical distance concept, International J. of Fatigue, 113 (2018) 33–42.

    Article  Google Scholar 

  19. A. Ince and G. Glinka, A modification of Morrow and Smith-Watson-Topper mean stress correction models, Fatigue & Fracture of Engineering Materials & Structures, 34 (2011) 854–867.

    Article  Google Scholar 

  20. Q. Ma, Z.-W. An, J.-X. Gao, H.-X. Kou and X.-Z. Bai, A method of determining test load for full-scale wind turbine blade fatigue tests, J. of Mechanical Science and Technology, 32 (11) (2018) 5097–5104.

    Article  Google Scholar 

  21. T. E. Putra, S. Abdullah, D. Schramm, M. Z. Nuawi and T. Bruckmann, Generating strain signals under consideration of road surface profiles, Mechanical Systems and Signal Processing, 60-61 (2015) 485–497.

    Article  Google Scholar 

  22. P. J. Rzeszucinski, J. K. Sinha, R. Edwards, A. Starr and B. Allen, Normalised root mean square and amplitude of sidebands of vibration response as tools for gearbox diagnosis, Strain, 48 (2012) 445–452.

    Article  Google Scholar 

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Acknowledgments

The authors would like to express their gratitude to Universiti Kebangsaan Malaysia (Research fundings: DCP-2017-020/1 & GUP-2018-077) for supporting this research.

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Authors and Affiliations

  1. Department of Mechanical and Manufacturing Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

    Lennie Abdullah, Salvinder Singh Karam Singh, Shahrum Abdullah, Abdul Hadi Azman, Ahmad Kamal Ariffin & Yat Sheng Kong

Authors
  1. Lennie Abdullah
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  2. Salvinder Singh Karam Singh
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  3. Shahrum Abdullah
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  4. Abdul Hadi Azman
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  5. Ahmad Kamal Ariffin
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Corresponding author

Correspondence to Salvinder Singh Karam Singh.

Additional information

Recommended by Editor Chongdu Cho

Lennie Abdullah is a Ph.D. candidate in Mechanical and Manufacturing Engineering, Universiti Kebangsaan Malaysia, Selangor, Malaysia. Her research interests include fatigue life assessment, reliability assessment and probabilistic approach.

Salvinder Singh Karam Singh is a Senior Lecturer in Mechanical and Manufacturing Engineering, Universiti Kebangsaan Malaysia, Selangor, Malaysia. He received his Ph.D. from Universiti Kebangsaan Malaysia. His research interests include fatigue life assessment, fracture mechanics reliability assessment and probabilistic approach.

Shahrum Abdullah is a Professor of Mechanical and Manufacturing Engineering, Universiti Kebangsaan Malaysia, Selangor, Malaysia. He received his Ph.D. from Sheffield University. His research interests include fatigue life assessment, fracture mechanics, mechanics of materials signal analysis and engineering design.

Abdul Hadi Azman is a Lecturer in Mechanical and Manufacturing Engineering, Universiti Kebangsaan Malaysia, Selan-gor, Malaysia. He received his Ph.D. from University of Grenoble Alpes, France. His research interests include computer-aided design (CAD), 3D printing product and development and mechanical engineering.

Ahmad Kamal Ariffin is a Professor of Mechanical and Manufacturing Engineering, Universiti Kebangsaan Malaysia, Selangor, Malaysia. He received his Ph.D. from University of Wales Swansea, United Kingdom. His research interests include computational Mechanics, computational fracture and fatigue, computational corrosion and finite/boundary/discrete element methods/parallel computation.

Yat Sheng Kong has a Ph.D. in Mechanical and Manufacturing Engineering, Universiti Kebangsaan Malaysia, Selan-gor, Malaysia. His research interests include finite element analysis, stress analysis and design optimization.

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Abdullah, L., Singh, S.S.K., Abdullah, S. et al. The needs of power spectral density in fatigue life prediction of heavy vehicle leaf spring. J Mech Sci Technol 34, 2341–2346 (2020). https://doi.org/10.1007/s12206-020-0510-z

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  • DOI: https://doi.org/10.1007/s12206-020-0510-z

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