Abstract
This paper presents a robust damage identification scheme in which damage is predicted by solving the cross-modal strain energy (CMSE) linear system of equations. This study aims to address the excessive equations issue faced in the assemblage of the CMSE system. A sensitivity index that, to some extent, measures how the actual damage level vector satisfies each CMSE equation, is derived by performing an analysis of the defined residual’s sensitivity to damage. The index can be used to eliminate redundant equations and enhance the robustness of the CMSE system. Moreover, to circumvent a potentially ill-conditioned problem, a previously published iterative Tikhonov regularization method is adopted to solve the CMSE system. Some improvements to this method for determining the iterative regularization parameter and regularization operator are given. The numerical robustness of the proposed damage identification scheme against measurement noise is proved by analyzing a 2-D truss structure. The effects of location and extent of damage on the damage identification results are investigated. Furthermore, the feasibility of the proposed scheme for damage identification is experimentally validated on a beam structure.
Highlights
Structural damage identification is a fundamental element of structural health monitoring (SHM)that has become a vital tool in maintaining the safety and integrity of structures [1,2,3,4,5,6,7]
Vibration-based structural damage identification can be formulated as a linear inverse problem [8,9,10,11,12], which requires the determination of the unknown input to a linear system from the known output
This paper presented a cross-modal strain energy (CMSE)-based damage identification scheme
Summary
Structural damage identification is a fundamental element of structural health monitoring (SHM)that has become a vital tool in maintaining the safety and integrity of structures [1,2,3,4,5,6,7]. The basic idea behind this technology is that modal parameters (notably frequencies, mode shapes, and modal damping) are functions of the physical properties of the structure. Changes in the physical properties (such as stiffness reduction caused by damage) will cause detectable changes in the modal properties. These changes can be used to reflect damage. Vibration-based structural damage identification can be formulated as a linear inverse problem [8,9,10,11,12], which requires the determination of the unknown input (i.e., structural damage) to a linear system from the known output (i.e., extracted modal parameters from the vibration measurements of the structure).
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