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Calculation of eigensensitivity is usually time-consuming for a large-scale structure. This paper develops a substructuring method for computing the first, second and high order eigensensitivity.The local area of a structure is treated as an independent substructure to be analyzed. The eigensensitivity of global structure with respect to a design parameter are calculated from the eigensensitivity of a particular substructure that contains the design parameter, thus allowing a significant reduction in computational cost. The accuracy and efficiency of the substructuring method is proved by a frame structure and a highway bridge.

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In traditional structural damage identification methods, it is usually time consuming to identify a large number of unknown parameters on a large-scale structure. This paper proposes a substructural method to identify the local damage of the large and complex systems. The structural damage, the external moving force and interface forces of adjacent substructures are identified simultaneously from the measured dynamic acceleration responses. The dynamic response sensitivities with respect to the structural parameters and the orthogonal factors of the moving force and interface forces are derived in the state space domain. The proposed method is verified by a simple supported beam and a three-storey frame. Numerical results have shown that the external force, interface force and the structural local damages can be identified by the proposed method effectively and efficiently. Since the concerned substructure is independent and the interface from remaining substructures can be identified, the concerned substructure can be singled out to be used for a large number of substructural analysis.

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