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Output only modal identification and structural damage detection using time frequency & wavelet techniques

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Abstract

The primary objective of this paper is to develop output only modal identification and structural damage detection. Identification of multi-degree of freedom (MDOF) linear time invariant (LTI) and linear time variant (LTV—due to damage) systems based on Time-frequency (TF) techniques—such as short-time Fourier transform (STFT), empirical mode decomposition (EMD), and wavelets—is proposed. STFT, EMD, and wavelet methods developed to date are reviewed in detail. In addition a Hilbert transform (HT) approach to determine frequency and damping is also presented. In this paper, STFT, EMD, HT and wavelet techniques are developed for decomposition of free vibration response of MDOF systems into their modal components. Once the modal components are obtained, each one is processed using Hilbert transform to obtain the modal frequency and damping ratios. In addition, the ratio of modal components at different degrees of freedom facilitate determination of mode shape. In cases with output only modal identification using ambient/random response, the random decrement technique is used to obtain free vibration response. The advantage of TF techniques is that they are signal based; hence, can be used for output only modal identification. A three degree of freedom 1:10 scale model test structure is used to validate the proposed output only modal identification techniques based on STFT, EMD, HT, wavelets. Both measured free vibration and forced vibration (white noise) response are considered. The secondary objective of this paper is to show the relative ease with which the TF techniques can be used for modal identification and their potential for real world applications where output only identification is essential. Recorded ambient vibration data processed using techniques such as the random decrement technique can be used to obtain the free vibration response, so that further processing using TF based modal identification can be performed.

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Authors and Affiliations

  1. Dept. of Civil and Env. Eng. and Mech. Eng. & Mat. Sc., Rice University, Houston, TX, 77005, USA

    S. Nagarajaiah

  2. Dept. of Civil, Structural, & Environmental Eng., Trinity College Dublin, Dublin 2, Ireland

    B. Basu

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  1. S. Nagarajaiah
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  2. B. Basu
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Correspondence to S. Nagarajaiah.

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Supported by: National Science Foundation Grant NSF CMS CAREER Under Grant No.9996290 and NSF CMMI Under Grant No.0830391

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Nagarajaiah, S., Basu, B. Output only modal identification and structural damage detection using time frequency & wavelet techniques. Earthq. Eng. Eng. Vib. 8, 583–605 (2009). https://doi.org/10.1007/s11803-009-9120-6

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