Cross modal strain energy–based structural damage detection in the presence of noise effects

Xu, Mingqiang; Wang, Shuqing

doi:10.1177/1687814017744122

Cited by 7 publications

(4 citation statements)

References 21 publications

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“…This operation can overcome the problem of the incomplete modal parameters under natural load excitation. Xu and Wang [30] summarized the cross-modal strain energy method and developed a two-stage methodology for damage assessment. The wholeness strain energy approach is first utilized for roughly localizing the potentially damaged members, and then the final damage locations and associated extents are exactly estimated with the locality strain energy approach.…”

Section: Introductionmentioning

confidence: 99%

Damage Identification for Shear-Type Structures Using the Change of Generalized Shear Energy

2022

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Structural damage identification has become an important topic in the field of civil engineering in recent years. The shear-type structure, such as shear frame structure, is a common type used in civil engineering. In this paper, a damage identification method based on the change of generalized shear energy is proposed for shear-type structures. The main steps of the proposed method are as follows. Firstly, the element stiffness matrix in the structural finite element model is decomposed to obtain the elementary shear force vector. Secondly, the elementary generalized shear energy is calculated by the dot product of the vibration mode shape vector and the elementary shear force vector. Thirdly, structural damage locations can be determined by the changes of elementary generalized shear energy. Finally, more accurate damage localization and quantification are achieved by solving the mode shape sensitivity equation. A 20-storey numerical example and a three-storey experimental model are used to demonstrate the proposed damage identification algorithm. From the numerical and experimental results, it was found that the proposed approach can accurately identify the location and extent of the damage in the shear structures even if the data contain noise. It has been shown that the presented algorithm may be useful in the damage identification of shear-type structures.

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Section: Introductionmentioning

confidence: 99%

Damage Identification for Shear-Type Structures Using the Change of Generalized Shear Energy

2022

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“…As a special case of modal curvature methods, modal strain energy methods have come forth in damage detection literature (Baneen and Kausar, 2018). It was shown that the modal strain energy methods are well capable of finding damage location (Cha and Buyukozturk, 2015; Xu and Wang, 2017; Yan et al, 2012). Commonly, damage/crack identification problems have been considered as the inverse problem of mechanics.…”

Section: Introductionmentioning

confidence: 99%

A study on the crack detection in beams using linear and nonlinear normal modes

Erdoğan

2019

Advances in Structural Engineering

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Linear and nonlinear normal mode motions may provide promising information about the condition of mechanical structures under small and large amplitude vibrations, respectively. In this view, this study investigates the nonlinear dynamics of cracked beams through use of the nonlinear mode motion and extends the crack identification methods that utilize the linear characteristics to nonlinear vibrating structures. At first, the nonlinear normal modes of the intact and cracked beams are calculated by a continuation algorithm. A finite element model of a geometrically nonlinear prismatic beam was created based on crack stress intensity. Subsequently, a method based on normal mode motion and minimization of strain energy, which is valid for linear and nonlinear vibrating beams, was developed as an optimization problem. To this end, hybrid optimization was also used due to its capability in finding global minimum along with its computational efficiency. It was shown that the proposed crack detection technique is applicable to beams vibrating in linear and/or nonlinear regimes and well capable of detecting both crack location and severity.

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“…For example, Li et al and Wang et al both extended the cross‐modal strain energy (CMSE) method to localize the damage and estimate its severity concurrently. Subsequently, many overdetermined systems of linear equations have been solved based on different hypotheses using the CMSE method . Likewise, Shi et al identified structural damage by constructing an overdetermined system related to the sensitivity coefficient of the modal strain energy change ratio (MSECR) to the damage.…”

Section: Introductionmentioning

confidence: 99%

“…Subsequently, many overdetermined systems of linear equations have been solved based on different hypotheses using the CMSE method. 5 Likewise, Shi et al 6 identified structural damage by constructing an overdetermined system related to the sensitivity coefficient of the modal strain energy change ratio (MSECR) to the damage. However, the coefficient matrix of an overdetermined system is typically ill conditioned due to the presence of modeling errors, measurement noise, and modal incompleteness; as a result, an erroneous solution that is not in accordance with the actual situation but still seems to effectively satisfy the system can usually be obtained.…”

Section: Introductionmentioning

confidence: 99%

Iterative two-stage approach for identifying structural damage by combining the modal strain energy decomposition method with the multiobjective particle swarm optimization algorithm

Wang

Jiang

2018

Struct Control Health Monit

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Summary An iterative two‐stage structural damage identification approach that combines the modal strain energy decomposition (MSED) method with the multiobjective particle swarm optimization algorithm is presented. The proposed scheme is inspired by the general noniterative two‐stage approach, which attempts to locate damage in the first stage and estimate the severity of damage in the second stage; however, the present approach differs by constructing an iterative MSED indicator to perform damage localization and severity estimation in a cyclic manner. Consequently, false positive indications of damage are gradually suppressed, and the precision of the damage severity estimation is improved as the iteration continues. In addition, a new element activation operation is embedded into the iterative process; in this step, possible false negative indications of damage excluded in the first stage can be activated and subsequently retested to identify damage, thereby reducing the false negative rate. Furthermore, a comparative study is conducted between the iterative two‐stage approach and the general noniterative approach by contemplating a 3‐D structure, and the effects of measurement noise and spatial incompleteness are considered.

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Cross modal strain energy–based structural damage detection in the presence of noise effects

Cited by 7 publications

References 21 publications

Damage Identification for Shear-Type Structures Using the Change of Generalized Shear Energy

Damage Identification for Shear-Type Structures Using the Change of Generalized Shear Energy

A study on the crack detection in beams using linear and nonlinear normal modes

Iterative two-stage approach for identifying structural damage by combining the modal strain energy decomposition method with the multiobjective particle swarm optimization algorithm

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