Fundamental Mode Shape–Based Structural Damage Quantification Using Spectral Element Method
Publication: Journal of Engineering Mechanics
Volume 147, Issue 11
Abstract
Vibration-based damage detection techniques usually focus on the changes in the modal properties as a result of any structural damage. For the last three decades, varying levels of success have been achieved in identifying damage using modal frequencies as well as mode shapes. The present study aims at using the damage-induced changes in the fundamental mode shape for evaluating the severity of damage in structures. For this purpose, the concept of the spectral element method was applied to derive the expression for mode shapes in the frequency domain. The difference between the fundamental mode shape of the damaged and undamaged structures was formulated and mathematical correlation established to derive the measure of damage quantity. A numerical analysis involving a 14-story shear building was performed to show the effectiveness of the proposed approach in damage quantification. In order to check the efficiency under real measurement conditions, the approach was also verified experimentally on a three-dimensional miniature model of a 6-story shear building in the laboratory environment. Both simulation and experimental investigations show the competency of the fundamental mode shape in structural damage quantification. Also, the use of fundamental mode shape makes the proposed methodology easy to implement on real structures.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request (e.g., experimental data, numerical models).
Acknowledgments
This research received a grant from Ministry of Human Resource Development (MHRD), India.
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 11 • November 2021
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© 2021 American Society of Civil Engineers.
History
Received: Nov 3, 2020
Accepted: Apr 6, 2021
Published online: Aug 25, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 25, 2022
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