Damage localization for operational modal analysis via random decrement technique

Abstract eng:
An approach to localize damage from response of wide band excitation with the help of undamaged model is presented. The wide band response is transferred to a free decay response via random decrement technique. The free decay response is regarded as two parts, a forced response related with damage and a free decay response of undamaged system. If the second part can be eliminated, the residual should belong to a span related with damage. However, the second part cannot be extracted directly because the initial condition is not measurable for all system coordinates with limited sensors. Therefore, we employ the null space of free decay response span based on undamaged model to eliminate it. The fact that subspace angle between the treated free decay response and columns in transfer matrix selected by correct damaged pattern should be zero is used in final localization.

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