A flexibility-based method via the iterated improved reduction system and the cuckoo optimization algorithm for damage quantification with limited sensors

Abstract

In this paper, a novel and effective damage diagnosis algorithm is proposed to localize and quantify structural damage using incomplete modal data, considering the existence of some limitations in the number of attached sensors on structures. The damage detection problem is formulated as an optimization problem by computing static displacements in the reduced model of a structure subjected to a unique static load. The static responses are computed through the flexibility matrix of the damaged structure obtained based on the incomplete modal data of the structure. In the algorithm, an iterated improved reduction system method is applied to prepare an accurate reduced model of a structure. The optimization problem is solved via a new evolutionary optimization algorithm called the cuckoo optimization algorithm. The efficiency and robustness of the presented method are demonstrated through three numerical examples. Moreover, the efficiency of the method is verified by an experimental study of a five-story shear building structure on a shaking table considering only two sensors. The obtained damage identification results for the numerical and experimental studies show the suitable and stable performance of the proposed damage identification method for structures with limited sensors.

LS-SVM Regression for Structural Damage Diagnosis Using the Iterated Improved Reduction System

“…Also, the reduced mass and sti®ness matrices at the jth iteration can be calculated by Eqs. (11) and (12), respectively, i.e.…”

“…The Guyan reduction method 10 has been used to condense the mass and sti®ness matrices. Recently, Hosseinzadeh et al 11 presented a°exibility based method via the iterated improved reduction system (IIRS) and the cuckoo optimization algorithm for damage detection.…”

Theory and numerical application of damage localization method state projection estimation error (SP2E)

“…12 Often used techniques are based on (a) frequency response functions, 13 (b) mode shapes and curvatures, 14 (c) modal strain energy, 15 and (d) experimental flexibility methods. 16 Estimation techniques for damage identification is a promising research field. Some techniques are (a) Kalman filtering for system identification, 17 (b) parameter tracking, 18 (c) the novelty index by subspace-based Kalman filter, 19 and (d) recursive frequency and damping tracking.…”

A new damage quantification approach for shear-wall buildings using ambient vibration data

“…Recently, a modal, flexibility-based damage quantification approach was presented [15][16][17][18]. Reynders and De Roeck [15] proposed a damage-detection and quantification method using quasi-static flexibility.…”

“…Koo et al [16] used damage-induced inter-story deflections estimated using modal flexibilities to evaluate damage severity. Hosseinzadeh et al [17] presented a new method called the "cuckoo optimization algorithm" for quantification of structural damage. They confirmed the efficiency and robustness of the proposed approach through numerical and experimental studies.…”