Application of generalized flexibility matrix in damage identification using Imperialist Competitive Algorithm

Masoumi, Maryam; Jamshidi, E.; Bamdad, Mahdi

doi:10.1007/s12205-015-0224-4

Cited by 15 publications

(5 citation statements)

References 11 publications

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“…As the damage is a small amount, F ≈ F is satisfied. Substituting (9) and (13) into (16), the sensitivity of flexibility matrix to damage for the new system can be derived as…”

Section: Structural Damage Detection Based On Generalized Flexibilitymentioning

confidence: 99%

“…Li et al [12] used the generalized flexibility instead of original flexibility matrix to detect structural damage, which can significantly reduce the effect of truncating higher-order modal parameters. Masoumi et al [13] proposed a new objective function formed by using generalized flexibility matrix. Then, imperialist competitive algorithm was used in damage identification.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape

Zhao

Zhou

Kan

et al. 2016

Shock and Vibration

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Damage can be identified using generalized flexibility matrix based methods, by using the first natural frequency and the corresponding mode shape. However, the first mode is not always appropriate to be used in damage detection. The contact interface of rod-fastened-rotor may be partially separated under bending moment which decreases the flexural stiffness of the rotor. The bending moment on the interface varies as rotating speed changes, so that the first- and second-modal parameters obtained are corresponding to different damage scenarios. In this paper, a structural damage detection method requiring single nonfirst mode is proposed. Firstly, the system is updated via restricting the first few mode shapes. The mass matrix, stiffness matrix, and modal parameters of the updated system are derived. Then, the generalized flexibility matrix of the updated system is obtained, and its changes and sensitivity to damage are derived. The changes and sensitivity are used to calculate the location and severity of damage. Finally, this method is tested through numerical means on a cantilever beam and a rod-fastened-rotor with different damage scenarios when only the second mode is available. The results indicate that the proposed method can effectively identify single, double, and multiple damage using single nonfirst mode.

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“…As the damage is a small amount, F ≈ F is satisfied. Substituting (9) and (13) into (16), the sensitivity of flexibility matrix to damage for the new system can be derived as…”

Section: Structural Damage Detection Based On Generalized Flexibilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape

Zhao

Zhou

Kan

et al. 2016

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…Therefore, the GFM has received widespread attention. Masoumi et al presented an objective function on the basis of GFM for solving a constrained optimization problem in damage detection procedure via Imperialist Competitive Algorithm (ICA) [20]. Considering the non-negativity of the damage index, an improved GFM approach without and with noises was proposed by Liu et al [21].…”

Section: Introductionmentioning

confidence: 99%

Damage Identification under Incomplete Mode Shape Data Using Optimization Technique Based on Generalized Flexibility Matrix

Gao,

Li,

et al. 2023

JAMP

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A generalized flexibility-based objective function utilized for structure damage identification is constructed for solving the constrained nonlinear least squares optimized problem. To begin with, the generalized flexibility matrix (GFM) proposed to solve the damage identification problem is recalled and a modal expansion method is introduced. Next, the objective function for iterative optimization process based on the GFM is formulated, and the Trust-Region algorithm is utilized to obtain the solution of the optimization problem for multiple damage cases. And then for computing the objective function gradient, the sensitivity analysis regarding design variables is derived. In addition, due to the spatial incompleteness, the influence of stiffness reduction and incomplete modal measurement data is discussed by means of two numerical examples with several damage cases. Finally, based on the computational results, it is evident that the presented approach provides good validity and reliability for the large and complicated engineering structures.

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“…For solving the optimization problem, meta-heuristic optimization algorithms as intelligent search methods have been widely adopted. Many researchers successfully applied meta-heuristic search algorithms such as genetic algorithm (GA) [4], particle swarm optimization (PSO) [5], dierential evolution (DE) [6], imperialist competitive algorithm (ICA) [7] and ant colony optimization (ACO) [8] in the structural damage identication. More recently, Xu et al [9] studied a method based on cuckoo search (CS) algorithm for structural damage detection.…”

Section: Introductionmentioning

confidence: 99%

Damage Detection of 2D Frame Structures using Incomplete Measurements by Optimization Procedure and Model Reduction

Dinh-Cong

Pham-Duy²,

Nguyen-Thoi³

2018

J. ADV. ENG. COMPUT.

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The article presents an effective method for damage assessment of 2D frame structures using incomplete modal data by optimization procedure and model reduction technique. In this proposed method, the structural damage detection problem is defined as an optimization problem, in which a hybrid objective function and the damage severity of all elements are considered as the objective function and the continuous design variables, respectively. The teaching-learning-based optimization (TLBO) algorithm is applied as a powerful optimization tool to solve the problem. In addition, owing to the use of incomplete measurements, an improved reduction system (IRS) technique is adopted to reduce the mass and stiffness matrices of structural finite element model. The efficiency and robustness of the proposed method are validated with a 4-storey (3 bay) steel plane frame involving several damage scenarios without and with measurement noise. The obtained results clearly demonstrate that even the incompleteness and noisy environment of measured modal data, the present method can work properly in locating and estimating damage of the frame structure by utilizing only the first five incomplete modes' data. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Application of generalized flexibility matrix in damage identification using Imperialist Competitive Algorithm

Cited by 15 publications

References 11 publications

Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape

Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape

Damage Identification under Incomplete Mode Shape Data Using Optimization Technique Based on Generalized Flexibility Matrix

Damage Detection of 2D Frame Structures using Incomplete Measurements by Optimization Procedure and Model Reduction

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