Damage and Damping Identification in a Structure Through Novel Damped Updating Method

Abstract

In this paper, damages as well as damping effects present in a structure have been identified through the use of a two-stage damped updating method. The structure was damaged with the help of hacksaw by imparting six cuts (damages) of varying depths in the lateral direction of the structure at six different locations. These cuts resulted in significant changes in structural parameters as well as experimental structural dynamic responses (eigenvalues, eigenvectors and receptance-functions). A damped updating method was used to minimize error norms related to dynamic responses in two distinct stages. During the first stage, frequency- and eigenvector-based dimensionless desirability functions were maximized, thereby leading to the development of correct mass and stiffness matrices. As a result, structural damages were evaluated accurately. Damages (reductions in flexural rigidity) at six locations of the structure were found to be 21.05, 51.87, 50.93, 37.16, 48.00 and 7.84%. During the second stage, desirability functions related to resonant points of receptance-functions were maximized to identify damping matrix of the structure. Accurate evaluation of damages, as well as damping, was supported by the fact that the updated model of the structure was able to predict frequencies, eigenvectors and receptance-functions within an average error of only 0.00%, 0.42% and 0.27% compared to an initial average error of 15.84%, 1.83% and 22.24%, respectively. Major novelty of this work lies in actual experimental validation of desirability function-based multi-objective optimization approach in solving complex identification problems of a real structure by identifying the damage as well as damping parameters accurately. The proposed technique was earlier used in solving numerical problem only, while in this work, identification of a real-life structure’s parameters has been performed for the first time by using the proposed technique.

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Acknowledgements

The authors are grateful to the University Grants Commission of New Delhi, India, for financial support of this research work (major research project Grant F. No. 42-869/2013(SR).

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Correspondence to Shankar Sehgal.

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Sehgal, S., Kumar, H. Damage and Damping Identification in a Structure Through Novel Damped Updating Method. Iran J Sci Technol Trans Civ Eng 45, 61–74 (2021). https://doi.org/10.1007/s40996-020-00388-8

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Keywords

  • Damage identification
  • Damping identification
  • Finite element
  • Model updating
  • Receptance-functions