A New Procedure for Structural Fault Estimation Using a Prescribed Eigen-Structure
A new method using an incomplete measurement set to locate and identify structural damage is proposed. The method is iterative yet computationally efficient and requires no sensitivity calculations. Mass and stiffness matrices, established by finite element method, are partitioned and measured partial eigenvectors are expanded to full modes. Stiffness reduction coefficients for structural elements are defined and then solved by a nonnegative least-squares solution scheme. With much less measured degrees of freedom and even less measured modes than the finite element analysis degrees of freedom, the proposed approach can still identify the damaged locations and extent of the damage in a structure. The effectiveness of the method is demonstrated by solving a numerically simulated example on the GARTEUR SM-AG19 structure.