Abstract
Among vibration-based damage detection methods, one of the effective approaches for damage localization is the modal strain energy method. In this paper, the modal strain energy method is developed for damage detection in plate-like structures with various boundary conditions. Firstly, the theory of the modal strain energy method is briefly outlined. In order to overcome the limitation of measuring points, a central difference method is newly employed to compute the partial differential terms in the modal strain energy formula. Finite element analysis is conducted on an aluminum thin plate to obtain the mode shapes before and after the occurrence of damage. Feasibility of the proposed method is verified by investigating plates with different types of boundary conditions. A damage index is presented to identify the location and extent of crack in the plate-like structures. The analytical results show that the proposed method accurately identifies the crack in the plate structure with various types of boundary conditions by using appropriate mode shapes and damage threshold.
Highlights
The occurrence of various types of damage during the operation process is inevitable
Studies on structural health monitoring (SHM) have focused on analyzing the response of structures, developing measurement techniques, developing damage detection methods, and deploying practical applications as discussed by Doebling et al [1], Farrar [2], Kim [3], and Li [4]
Modal strain energy-based damage detection method has emerged with the advantage of both the global SHM method and the local SHM method as mentioned by Fan and Qiao [6]
Summary
The occurrence of various types of damage during the operation process is inevitable. Stubbs [7,8] proposed the modal strain energy method to detect the damages in beam-like structures In these studies, the damage locations were successfully diagnosed in the beams. Kim et al [10] developed a modal strain energy-based damage detection to locate accurately the damages at midspan and quarter-span in a beam by using a few modes. Erefore, it is necessary to develop a modal strain energybased damage detection method for plate-like structures with different boundary conditions. E main objective of this study is to develop a modal strain energy-based damage detection method for plate-like structures with various boundary conditions. E analytical results show that the proposed method accurately identifies the crack in the plate-like structures with various types of boundary condition by using appropriate mode shapes and damage threshold A damage index is proposed to identify the location and extent of crack in the plates. e effect of using different mode shapes and damage thresholds on the accuracy of diagnostic results is carried out. e analytical results show that the proposed method accurately identifies the crack in the plate-like structures with various types of boundary condition by using appropriate mode shapes and damage threshold
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