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Structural reanalysis for defective systems and the near defective systems is discussed in this paper. Specially, by a relaxation factor embedded in the Combined Approximations (CA) approach and a frequency shift, the reanalysis problem of near defective systems with close eigenvalues can be transformed into one of defective systems with repeated ones, which is equal to the average of the close ones. Numerical examples show that the proposed method is effective and stable in reanalysis problem of near defective systems.

Shift-Relaxation Combined Approximations Method for Structural Vibration Reanalysis of Near Defective Systems