Abstract
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.
Highlights
With an increase in the service life of a structure, various damage conditions will inevitably appear in the structure
A damage identification method based on the change of generalized shear energy is proposed for shear-type structures
The change of the the generalized shear energy can be served as the indexes of the damage locations in generalized shear energy can be served as the indexes of the damage locations in the the shear-type structure
Summary
With an increase in the service life of a structure, various damage conditions will inevitably appear in the structure. Yan et al [22] proposed a statistic structural-damage detection algorithm based on the closed form of element modal strain energy sensitivity. Their method is oriented to the ambient vibration measurements where only the operational mode shapes are available. Liu et al [29] proposed a novel method to detect structural damages of offshore platforms based on grouping modal strain energy. (1) The generalized shear energy can be directly and quickly calculated for damage localization even if structural FEM is not constructed in advance This is the outstanding advantage of the proposed method over the previous modal strain energy methods. The assumption is made that (1) the shear-type structure is linear before and after damage occurs, (2) structural damage only reduces the system stiffness matrix, and (3) the structural refined finite element model has been developed before damage occurrence
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