感度に基づくグルーピングと組合わせ-非線形混合最適化による骨組構造物の損傷推定

概要

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We present a robust nondestructive approach for detecting flaws in a frame structure from its measured response. Due to testing limitations, the number of measurements is often less than that of potentially damaged locations. Direct application of conventional least-squares approaches yields an ill-posed inverse problem. To overcome the difficulty, we formulate damage detection as a mixed combinatorial-nonlinear least-squares problem, in which the subset of unknown parameters is sought. along with their values, that best represents the location and extent of the damaged sites. The present formulation is suited for finding a limited number of damage sites. To obtain more stable estimates, further, we propose a grouping strategy, wherein the damage parameters giving similar effects on measured response are grouped using the sensitivity of the response with respect to the damage parameters. Through two numerical examples, we demonstrate the proposed method and examine its oerformance.
社団法人日本建築学会の論文
2004-08-30