진동실험에 기초한 구조물의 모드분석

다국어 초록 (Multilingual Abstract)

The load distribution to each mode of a structure under seismic loading depends on the modal participation factor and thus the exact estimation of the modal participation factor is essential to analyze the seismic response of a structure. The modal participation factor of an idealized analytical model, however, is different to the actual one due to modeling and construction error. Therefore, there exist limits on the estimation of actual behavior. In this study, an identification procedure for participation factor based on vibration test is proposed. The modal participation factor is obtained from the relationship between observability matrices realized from system identification. Using the oberservability matrices, it is possible to transform an arbitrarily identified state space model from the experimental data into a typical state space model which is defined in a domain with physical meaning. Then, the modal participation factor can be estimated based on the relationship between two state space models related by the oberservability matrices. The proposed procedure has an advantage that the modal participation factor for the mode shape vector can be estimated from the response of the corresponding floor without knowing responses of other floors. Further, the mode shape vector can also be estimated directly from the experimentally estimated modal participation factors. The numerical simulation and experimental verification are performed to evaluate the proposed procedure. The results show that the modal participation factor and mode shape vectors are estimated from the structural responses precisely.

목차 (Table of Contents)

• Abstract
• 1. 서론
• 2. 모드참여계수의 산정
• 3. 모드참여계수를 이용한 모드형상 산정
• 4. 수치해석 예제
• 5. 진동실험
• 6. 결론
• 참고문헌

참고문헌 (Reference)

1 엄태성, "층지진하중분포 예측을 위한 모드조합법" 한국지진공학회 10 (10): 65-75, 2006

2 황재승, "진동실험에 기초한 다자유도 구조물의 모드질량 산정기법" 대한건축학회 23 (23): 11-18, 2007

3 김진구, "등가 에너지 개념을 이용한 비좌굴 가새골조의 내진설계" 한국지진공학회 7 (7): 47-55, 2003

4 한상을, "능력 스펙트럼법에 의한 대공간 구조물의 성능점 산정" 대한건축학회 22 (22): 11-18, 2006

5 Ljung, L., "System Identification Toolbox User’s Guide" Mathworks 2007

6 Paz, M., "Structural Dynamics : Theory and Computation" Kluwer Academic Publishers 2004

7 Alvin, K. F., "Second-order structural indentification procedure via state-space-based system identification" 32 : 397-406, 1994

8 Clough, R. W., "Dynamics of Structure" McGraw-Hill 1975

9 Juang, J.-N., "Applied System Identification" Prentice Hall 1994