Abstract
This study aims to compute low-frequency energy with Hölder singularities in vibration signals of suspension system to predict the durability of coil spring. High frequencies in vibrations often had minimal contribution towards fatigue damage due to low amplitude range and thus induce errors in energy analysis of vibration signals. Since traditional low-pass method had not only been ineffective in reducing high frequencies, it also resulted in the loss of signal information. This study had therefore proposed characterising low-frequency energy for road excitations using Hölder singularities and power spectral analyses. Singularities and low-frequency energy of road vibration signals would first be identified through Hölder local regularity analysis. This was then followed by fatigue life prediction using the strain-life approaches (i.e. Coffin-Manson, Morrow and Smith–Watson–Topper models). The energy-based fatigue life prediction models had not only shown good fit with R2 values higher than 0.8, but had also demonstrated an accurate prediction of fatigue life with more than 95% of the data being within the acceptance boundary. The Morrow-based model provided the highest accuracy in fatigue life prediction because of its highest R2 value of 0.8625 and 100% data survival in the fatigue life correlation study. This showed that energy-based fatigue life prediction models provide an accurate and effective prediction of the durability performance. This study proposed a more precise energy characterisation method for energy-based durability prediction of suspension coil spring under random loading conditions.
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Acknowledgements
This work was funded by the Ministry of Education Malaysia and Universiti Kebangsaan Malaysia (UKM) under the research Grants FRGS/1/2019/TK03/UKM/01/3 and DIP-2019-015.
Funding
This study was funded by Ministry of Education Malaysia (Grant No. FRGS/1/2019/TK03/UKM/01/3) and Universiti Kebangsaan Malaysia (Grant No.: DIP-2019-015).
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C. H. Chin contributed to conceptualization, methodology, formal analysis and investigation, and writing—original draft preparation; S. Abdullah, S. S. K. Singh, and A. K. Ariffin contributed to writing—review and editing; S. Abdullah contributed to funding acquisition; S. Abdullah and D. Schramm provided resources; and S. Abdullah, S. S. K. Singh, A. K. Ariffin, and D. Schramm contributed to supervision.
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Chin, C.H., Abdullah, S., Singh, S.S.K. et al. Computing low-frequency vibration energy with Hölder singularities as durability predictive criterion of random road excitation. Soft Comput 25, 6469–6487 (2021). https://doi.org/10.1007/s00500-021-05640-5
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DOI: https://doi.org/10.1007/s00500-021-05640-5