A Comparative Study on Structural Damage Detection Using Derivatives of Laser-Measured Flexural and Longitudinal Vibrati
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A Comparative Study on Structural Damage Detection Using Derivatives of Laser‑Measured Flexural and Longitudinal Vibration Shapes Wei Xu1,2 · Weidong Zhu1 · Yongfeng Xu3 · Maosen Cao2 Received: 18 October 2019 / Accepted: 3 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Structural damage detection methods relying on laser-measured vibration shapes have become a research focus in the past decade. For damage in a beam/bar with reduced cross-sectional dimensions, such as a notch, it causes changes in both its bending stiffness and axial stiffness in the damage region. Such stiffness changes can induce discontinuities in derivatives of flexural and longitudinal vibration shapes, whereby the damage can be detected and located. Derivatives of flexural vibration shapes have been widely used for structural damage detection, whereas derivatives of longitudinal vibration shapes were recently proposed for structural damage detection and have attracted much less attention. Although it is difficult to excite and measure longitudinal vibration, it can be useful for detecting damage in such a structure as a cable, since flexural vibration of the cable is mainly governed by its tension and not its bending stiffness. In this study, capabilities of derivatives of laser-measured flexural and longitudinal vibration shapes in structural damage detection are comprehensively compared. In particular, to overcome their common deficiency of being susceptible to environmental noise interference, the multiscale analysis based on wavelet transform is integrated into derivatives of vibration shapes to enhance their robustness against noise interference. Analytical and experimental validation shows that compared with commonly used derivatives of flexural vibration shapes, derivatives of longitudinal vibration shapes have the same capability in detecting damage in beam/bar-type structural components. Keywords Structural damage detection · Derivative of vibration shape · Flexural vibration · Longitudinal vibration · Multiscale analysis · Laser scanning measurement
1 Introduction
* Weidong Zhu [email protected] Wei Xu [email protected] Yongfeng Xu [email protected] Maosen Cao [email protected] 1
Department of Mechanical Engineering, University of Maryland Baltimore County, Baltimore, MD 21250, USA
2
Department of Engineering Mechanics, Hohai University, Nanjing 210098, China
3
Department of Mechanical and Materials Engineering, University of Cincinnati, Cincinnati, OH 45221, USA
Beam/bar-type structural components are important elements in the fields of mechanical, aerospace, and civil engineering. It is of significance to detect damage in beam/bartype structural components to ensure the integrity and safety of these structures. Structural damage detection methods relying on vibration has attracted increasing attention during the recent decades [1]. Structural vibration shapes (VSs), including mode shapes (MSs) and steady-state response shapes under harmonic excitation (SRSHEs), have been increasing
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