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Cited by 63Structural Health Monitoring TechniquesInfrastructure Maintenance and MonitoringMachine Fault Diagnosis Techniques

Singular spectrum analysis combined with ARMAX model for structural damage detection: SHM combining Singular Spectrum Analysis and ARMAX model

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Lakshmi, K., Rao, A. Rama Mohan, Gopalakrishnan, N.·2017·Structural Control and Health Monitoring
DOI 10.1002/stc.1960
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Abstract

Time series analysis is being used popularly in structural health monitoring mainly because of its output-only and non-modal approach. Generally, the damage features are extracted either from the coefficients or the prediction errors of the time series models. However, when the incipient damage is small like minor cracks, the damage features of popularly used time series models, constructed using only the coefficients/prediction errors, are not sensitive. Therefore, identifying the presence or exact spatial damage location becomes difficult. In view of this, in this paper, we present an approach to enhance the sensitivity of the damage features by augmenting Singular Spectrum Analysis (SSA) to ARMAX model, enabling it to locate the smaller damage like cracks. The damage index is obtained from the Cepstral distance between any two ARMAX models. Numerical simulation studies have been carried out by considering an example of a simply supported beam girder with single and multiple cracks. Experimental studies on a simply supported RCC beam is conducted to demonstrate the effectiveness of the proposed algorithm. A benchmark problem associated with the bookshelf frame structure, proposed by Engineering Institute –Los Alamos National Laboratory, is used as another example for experimental verification of the proposed technique. SSA is found to improve the sensitivity of the damage features devised from the ARMAX models for detection of minor damage and damage localization on the structures.

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  44. [63]63. http://institute.lanl.gov/ei/software-and-data How to cite this article: Lakshmi K, Rao ARM, Gopalakrishnan N. Singular spectrum analysis com- bined with ARMAX model for structural damage detection. Struct Control Health Monit. 2017;24: e1960. https://doi.org/10.1002/stc.1960

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Authors
Lakshmi, K., Rao, A. R. M., & Gopalakrishnan, N.
Affiliations
Structural Engineering Research Centre (IN)
Corresponding author
Lakshmi, K.
ORCID
Venue
Structural Control and Health Monitoring
Publisher
Wiley
Published
2016-11-08
Volume
24
Issue
9
Pages
e1960
ISSN
1545-2255 (ISSN-L)
DOI
10.1002/stc.1960
OpenAlex
W2551709823
Cited by
63
References
48
Citations by year
2026: 2 · 2025: 6 · 2024: 7 · 2023: 6 · 2022: 12 · 2021: 9 · 2020: 8 · 2019: 7 · 2018: 6
FWCI
5.89
Type
journal article
Language
en
Open access
Licence
Locations
Structural Control and Health Monitoring (publishedVersion, public-domain)
Funders
CSIR-Structural Engineering Research Centre
Topics
  • Physical Sciences › Engineering › Civil and Structural Engineering › Structural Health Monitoring Techniques
  • Physical Sciences › Engineering › Civil and Structural Engineering › Infrastructure Maintenance and Monitoring
  • Physical Sciences › Engineering › Control and Systems Engineering › Machine Fault Diagnosis Techniques
Keywords
singular spectrum analysis, ARMAX model, structural damage detection, damage localization, damage index, cepstral distance, time series models, simply supported beams, reinforced concrete beams

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