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Steel truss bridge vibration-based condition monitoring using Savitzky-Golay filter, Hilbert transform, MUSIC and ESPRIT

Anshul Sharma (Department of Civil Engineering, NIT Hamirpur, Hamirpur, India)
Pardeep Kumar (Department of Civil Engineering, NIT Hamirpur, Hamirpur, India)
Hemant Kumar Vinayak (Entrepreneurship Development and Industrial Coordination Department, National Institute of Technical Teachers’ Training and Research Chandigarh, Chandigarh, India)
Raj Kumar Patel (Electrical Engineering Department, Rajkiya Engineering College Sonbhadra, Sonbhadra, India)
Suresh Kumar Walia (Himachal Pradesh Public Works Department, Kangra, Tanda, India)

Journal of Engineering, Design and Technology

ISSN: 1726-0531

Article publication date: 19 May 2021




This study aims to perform the experimental work on a laboratory-constructed steel truss bridge model on which hammer blows are applied for excitation. The vibration response signals of the bridge structure are collected using sensors placed at different nodes. The different damaged states such as no damage, single damage, double damage and triple damage are introduced by cutting members of the bridge. The masked noise with recorded vibration responses generates challenge to properly analyze the health of bridge structure.


The analytical modal properties are obtained from finite element model (FEM) developed using SAP2000 software. The response signals are analyzed in frequency domain by power spectrum and in time-frequency domain using spectrogram and Stockwell transform. Various low pass signal-filtering techniques such as variational filter, lowpass sparse banded (AB) filter and Savitzky–Golay (SG) differentiator filter are also applied to refine vibration signals. The proposed methodology further comprises application of Hilbert transform in combination with MUSIC and ESPRIT techniques.


The outcomes of SG filter provided the denoised signals using appropriate polynomial degree with proper selected window length. However, certain unwanted frequency peaks still appeared in the outcomes of SG filter. The SG-filtered signals are further analyzed using fused methodology of Hilbert transform-ESPRIT, which shows high accuracy in identifying modal frequencies at different states of the steel truss bridge.


The sequence of proposed methodology for denoising vibration response signals using SG filter with Hilbert transform-ESPRIT is a novel approach. The outcomes of proposed methodology are much refined and take less computational time.



The authors would like to thank the Himachal Pradesh Public Works Department, Government of Himachal Pradesh, India, for allowing the National Institute of Technology, Hamirpur, to conduct the experiment on the steel truss bridge in the state. The authors also thank Dr Suresh Kumar Walia for providing necessary experimental data for further signal processing.

Funding: The authors declare that the present study is not funded by any source.

Conflict of interest: The authors declare that there is no conflict of interest in the context of the publication of this manuscript. In addition, the authors have carefully observed the ethical issues of plagiarism, misconduct, data falsification or any misconduct while developing the paper.


Sharma, A., Kumar, P., Vinayak, H.K., Patel, R.K. and Walia, S.K. (2021), "Steel truss bridge vibration-based condition monitoring using Savitzky-Golay filter, Hilbert transform, MUSIC and ESPRIT", Journal of Engineering, Design and Technology, Vol. ahead-of-print No. ahead-of-print.



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