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Compressive power spectrum sensing for vibration-based output-only system identification of structural systems in the presence of noise

Siesakul, B. T., Gkoktsi, K. and Giaralis, A. (2015). Compressive power spectrum sensing for vibration-based output-only system identification of structural systems in the presence of noise. Compressive Sensing IV, 9484, 94840K. doi: 10.1117/12.2177162

Abstract

Motivated by the need to reduce monetary and energy consumption costs of wireless sensor networks in undertaking output-only/operational modal analysis of engineering structures, this paper considers a multi-coset analog-toinformation converter for structural system identification from acceleration response signals of white noise excited linear damped structures sampled at sub-Nyquist rates. The underlying natural frequencies, peak gains in the frequency domain, and critical damping ratios of the vibrating structures are estimated directly from the sub-Nyquist measurements and, therefore, the computationally demanding signal reconstruction step is by-passed. This is accomplished by first employing a power spectrum blind sampling (PSBS) technique for multi-band wide sense stationary stochastic processes in conjunction with deterministic non-uniform multi-coset sampling patterns derived from solving a weighted least square optimization problem. Next, modal properties are derived by the standard frequency domain peak picking algorithm. Special attention is focused on assessing the potential of the adopted PSBS technique, which poses no sparsity requirements to the sensed signals, to derive accurate estimates of modal structural system properties from noisy sub- Nyquist measurements. To this aim, sub-Nyquist sampled acceleration response signals corrupted by various levels of additive white noise pertaining to a benchmark space truss structure with closely spaced natural frequencies are obtained within an efficient Monte Carlo simulation-based framework. Accurate estimates of natural frequencies and reasonable estimates of local peak spectral ordinates and critical damping ratios are derived from measurements sampled at about 70% below the Nyquist rate and for SNR as low as 0db demonstrating that the adopted approach enjoys noise immunity.

Publication Type: Article
Additional Information: Siesakul, B. T., Gkoktsi, K. & Giaralis, A., Compressive power spectrum sensing for vibration-based output-only system identification of structural systems in the presence of noise, Compressive Sensing IV, 9484, 94840K, 2015. Copyright 2015 Society of Photo Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
Publisher Keywords: Sub-Nyquist multi-coset sampling, Multi-band stationary stochastic processes, Power spectrum blind estimation, Output-only system identification, ARMA filter, analog-to-information converter, additive white noise
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: School of Mathematics, Computer Science & Engineering > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/13617
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