Abstract
For cable-stayed bridges, cables are very important components to maintain the safety of the whole bridge structure. It is well-known that change in cable force reflects the health of the cable-stayed bridge. Therefore, it is necessary to detect and quantify local damage in cables prior to the occurrence of a failure. To this end, an improved residual force algorithm independent of static load vector was proposed in this study. The proposed method mainly makes use of the particularity that only a few coefficients in the residual force and static load vectors are nonzero. By combining two different static loading modes, a new damage indicator vector was defined in the method for damage localization and quantification. Compared with existing static residual force methods, the significant advantage of the proposed algorithm is that the specific value and loading position of the static load are not required in the damage identification process. This special advantage causes this method to not require special static loading, but instead uses any load vehicle. This advantage can make the operation process of structural damage identification based on static tests easier and faster. A single tower cable-stayed bridge structure was used to verify the feasibility of the proposed method in cable damage identification. It was shown that the proposed method successfully identified cable damage, even if the value and loading point of the static load were uncertain.
Highlights
Cables are an important component of cable-stayed bridges, since they bear most of the gravity load of the bridge [1,2]
An improved residual force algorithm, which is independent of static load vector, was proposed in this paper
By combining two different static loading modes, a new damage indicator vector was defined in the method for damage localization and quantification
Summary
Cables are an important component of cable-stayed bridges, since they bear most of the gravity load of the bridge [1,2]. Based on the static displacement data and the stiffness matrix of the structural finite element model, the static residual force vector was defined, and the damage degrees of freedom were. This operation increases the cost and time of damage evaluation To overcome this drawback, an improved residual force algorithm, which is independent of static load vector, was proposed in this paper. Compared with existing static residual force methods, the outstanding advantage of the improved algorithm is that the specific value and loading position of the static load are not required in the damage identification process. The static residual force vector ξ will have nonzero coefficients corresponding to the damaged DOFs. On the other hand, ξ can be calculated from Equation (5) by the intact stiffness matrix K, the displacement ud of the damaged structure, and the applied static load vector l. Damage extents α1, α2, and αr can be calculated from the solution of Equation (18) using the Gauss elimination method
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