Abstract
To solve the problem that the measured modal parameters and the finite element analysis modal parameters do not match in damage identification, the residual force vector formula and the minimum rank update formula based on the modal reduction method were derived. Through the calculation of the residual force vectors of damaged and undamaged structures, the change rate of the residual force vector was obtained, and the absolute values of the residual force change rate vector elements were defined as the improved residual force vector. With the improved residual force vector, the correct number of modes used in the minimum rank update method was determined, and the minimum rank update formula based on modal reduction was used to calculate the damage extent. The results show that, under noise interference, the presented method could well locate the damage with incomplete modal data. The damage extent identification based on the derived minimum rank update formula is reliable. The method is robust and accurate in structural damage identification for measured incompleteDOF structures.
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