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Damage Localization In Ambient Vibration By Constructing Proportional Flexibility Matrix, Zhongdong Duan, Guirong Yan, Jinping Ou, B. F. Spencer

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Damage Localization Approaches based on Changes of Flexibilities Constitute an Important Technique for Damage Detection. However, the Unavailability of Flexibility Matrix with Output-Only Data Makes Flexibility-Based Approaches Not Really Applicable in the Very Important Cases of Ambient Vibrations. an Algorithm is Presented to Construct a Proportional Flexibility Matrix (PFM) from a Set of Arbitrarily Scaled Tested Modal Shapes and Modal Frequencies. the Constructed PFM is Just within a Scalar Multiplier to the Real Flexibility Matrix, and the Scalar Multiplier is Theoretically the First Modal Mass, Which is Undetermined Before the Mode is Properly Scaled. Instead of Real Flexibilities, the PFMs …