전역적/국부 응답을 이용한 철골조의 모델 업데이팅 기법 제안
A Proposal of Model Updating Method for Steel Frame Using Global/Local Responses
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초록
기존 구조물의 모델 업데이팅 기법은 주로 진동 계측을 통해 얻은 전역적 구조 응답-모달 파라미터-를 이용한다. 모달 파라미터를 이용하여 업데이트된 모델은 전역적 구조 응답을 잘 추정할 수 있지만, 부재 레벨의 안전성 평가를 위한 국부적 응답 예측에는 어려움이 있다. 구조물 내 구조 부재들의 변형률 계측을 통해 응력을 추정하고, 안전성 평가가 이루어진다. 따라서, 본 연구는 모달 파라미터 이외에 로컬 구조 부재들에 가하는 해머 가력을 통해 계측한 변형률을 추가적으로 모델 업데이팅에 이용한다. 본 연구가 제안하는 모델 업데이팅에서 목적함수는 전역적/국부적 계측 응답과 모델의 응답간의 차로 설정되며 NSGA-II를 이용하여 이를 최소화된다. 업데이트 모델에서 예측하는 변형률 응답은 철골조의 안전성 평가에 활용된다. 제안한 기법은 철골 프레임에 대한 시뮬레이션과 해머 가력 실험을 통해 검증된다.
Abstract
Conventional model updating methods for the structures have used global structural responses which are modal parameters obtained through vibration measurements. Although models updated by modal parameters estimate global structural responses accurately, they have difficulties to predict local responses for safety assesment of structural members. The safety of structural members in the structures has been evaluated through the stress estimation based on strain measurements. Thus, this study additionally uses measured strain responses of structural members to perform model updating besides modal parameters. In the proposed method, the objective functions are set to the differences of the global and local responses obtained from updated model and measurement and those functions are minimized by NSGA-II, one of the multi-objective optimization techniques. The strain responses predicted from updated model are used for safety assessment of the steel frame structures. The proposed method are verified by numerical and experimental studies through the impact hammer tests for a steel frame specimen.
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