Efficiency of Plasma Generation Optimization for Structural Damage Identification of Skeletal Structures Based on a Hybr

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Efficiency of Plasma Generation Optimization for Structural Damage Identification of Skeletal Structures Based on a Hybrid Cost Function Ali Kaveh1   · Seyed Milad Hosseini1 · Hossein Akbari1 Received: 12 September 2020 / Accepted: 5 October 2020 © Shiraz University 2020

Abstract In this paper, a newly developed population-based metaheuristic algorithm, namely plasma generation optimization (PGO), is applied to solving the optimization-based damage detection problem. PGO is a physically based optimizer inspired by the process of plasma generation. Excitation, de-excitation, and ionization are the three physical processes occurring in a repeated manner for providing plasma. In the current optimization problem, an efficient hybrid damage-sensitive cost function is developed based on combing two cost functions, modal strain energy and generalized flexibility matrix changes. The structural damage identification problem is formulated as an inverse optimization problem in which the vector of design variables represents damage severity of the structural elements. To verify the efficiency and robustness of the proposed method in detecting the locations and severity of damage precisely, five skeletal structures are investigated numerically. The results of the paper revealed that the proposed method can identify and quantify the damaged elements accurately using only the first few vibrating modes, even for noise-contaminated data. Keywords  Plasma generation optimization (PGO) · Structural damage detection · Modal strain energy (MSE) · Generalized flexibility matrix (GFM) · Hybrid cost function

1 Introduction Engineering structures including bridges, dams, offshore installation, buildings and towers are prone to damage as a result of extreme events such as earthquakes so that their extensions may cause many financial losses and casualties. To overcome these catastrophic events, early damage identification should be performed. On the other hand, these structures are the main applications of structural health monitoring (SHM) technology in real practice, which should be monitored before occurring irreparable structural damage (Brownjohn 2007; Cavalieri et al. 2012; Zrelli et al. 2017). Numerous methods have been devoted to assessing the site and extent of damage in the field of SHM. Among these * Ali Kaveh [email protected] Seyed Milad Hosseini [email protected] Hossein Akbari [email protected] 1



School of Civil Engineering, Iran University of Science and Technology, P.O. Box, Tehran 16846‑13114, Iran

techniques, vibration-based ones have been attracted considerable attention in recent past decades. Among the responses of a structure, both natural frequencies and mode shapes due to their easily obtaining can be used as a measure of the structural behavior before and after damage. Another advantage of these parameters is that they are not only sensitive to damage occurrence but also independent from external excitation (Kaveh 2017). A group of the vibration-based methods