Statistical Damage Assesment of Framed Structures from Static Responses

 

Inho Yeo, Soobong Shin, Hae Sung Lee, Sung-Pil Chang

 

ABSTRACT

 This paper presents a damage assessment algorithm for framed structures based on a system identification scheme with a regularization technique. The regularization technique is introduced to alleviate the ill-posedness of the system identification problems. A new regularization function based on the Frobenius norm of the difference between the estimated and the baseline stiffness matrix is proposed. A parameter grouping technique is adopted to locate damaged members and to overcome sparseness of measured data. A data perturbation method is employed to obtain statistical approach by a hypothesis test is presented to assess damage. The validity of the proposed method is demenstrated through numerical examples.

KEY WORDS : inverse analysis, objective function, least-square method, eigenvectors

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