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Derivation of Dynamic Characteristic Values for Multi-degree-of-freedom Frame Structures based on Frequency Response Function(FRF)

주파수응답함수 기반 다자유도 골조 구조물의 동특성치 도출 및 구조모델링 적용

  • 김소연 (숭실대학교 건축학부 ) ;
  • 김민영 (숭실대학교 건축학부) ;
  • 이승재 (숭실대학교 건축학부 대학원 ) ;
  • 최경규 (숭실대학교 건축학부 )
  • Received : 2023.04.06
  • Accepted : 2023.06.22
  • Published : 2023.08.31

Abstract

In the seismic design of structures, seismic forces are calculated based on structural models and analysis. In order to accurately address the dynamic characteristics of the actual structure in the structural model, calibration based on actual measurements is required. In this study, a 4-story frame test specimen was manufactured to simulate frame building, accelerometers were attached at each floor, and 1-axis shaking table test was performed. The natural period of the specimen was similar to that of the actual 4 story frame building, and the columns were designed to behave with double-curvature having the infinite stiffness of the horizontal members. To investigate the effects seismic waves characteristics, historical and artificial excitations with various frequencies and acceleration magnitudes were applied. The natural frequencies, damping ratios, and mode shapes were obtained using frequency response functions obtained from dynamic response signals, and the mode vector deviations according to the input seismic waves were verified using the Mode assurance criterion (MAC). In addition, the damping ratios obtained from the vibration tests were applied to the structural model, and the method with refined dynamic characteristics was validated by comparing the analysis results with the experimental data.

구조물의 내진설계 시 지진력은 구조모델 수립 및 구조해석에 기반하여 산정되는데, 구조모델이 실제 구조물의 동특성치를 정확하게 반영하기 위해서는 실제 계측을 통한 보정이 요구된다. 본 연구에서는 실제 건물을 모사한 4층 골조 시험체를 대상으로 각 층별 가속도계를 부착하여 1축 진동대 실험을 수행하였다. 실험체의 주기는 실제 건축물의 주기와 유사하며, 수평부재의 무한강성을 고려하여 기둥은 이중곡률로 거동하도록 설계하였다. 입력지진파의 특성에 따른 영향을 고려하기 위해 다양한 주파수와 가속도 크기를 갖는 역사지진파와 인공지진파를 가력하였다. 동적응답신호를 통해 얻은 주파수응답함수를 이용하여 고유진동수와 감쇠비, 모드벡터를 도출하였으며, Mode assurance criterion(MAC)를 통해 입력지진파에 따른 모드벡터 간의 편차를 확인하였다. 또한 진동대 실험을 통해 도출된 감쇠비를 구조모델에 적용하였으며, 실험 결과와의 비교를 통하여 동특성 도출 방법을 검증하였다.

Keywords

Acknowledgement

이 논문은 한국연구재단 대학중점연구소지원사업의 연구비 지원(2020R1A6A1A03044977)에 의해 수행되었습니다. 이에 감사드립니다.

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