제한계측 기반 건물의 역량곡선 추출 알고리즘 개발

초록

This study proposes a limited-measurement-based algorithm for extracting capacity curves of buildings using acceleration data recorded at a limited number of floors. The capacity curve extraction method proposed by Kusunoki et al. (2018) can directly derive capacity curves from measured acceleration responses without requiring a detailed structural model or prior knowledge of structural properties. However, since the method requires acceleration data from all floors, its application is constrained in the Korean instrumentation environment where accelerometers are installed only at selected floors. To address this limitation, the proposed algorithm estimates the relative responses of unmeasured floors using only acceleration records at the base, an intermediate floor, and the roof. The relative displacements of unmeasured floors are estimated using a continuous displacement shape based on two-segment cubic polynomials satisfying the measured floor displacements, and the relative accelerations are obtained by linear interpolation between measured floors. Nonlinear time-history analyses of a 10-story reinforced concrete building were conducted for verification. The acceleration records from all floors were input into the existing capacity curve extraction algorithm to obtain reference results, while only the records from three measured floors were input into the proposed algorithm. The maximum representative displacement was reproduced at approximately 97.5–98.0% of the full-story measurement result, and the maximum representative acceleration was slightly overestimated at 105.8–115.5%. The overall envelope shape of the capacity curve and the representative hysteretic response were reproduced with reasonable accuracy, confirming the practical applicability of the proposed algorithm under limited measurement conditions.

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