한국지진공학회논문집 (Journal of the Earthquake Engineering Society of Korea)

  • 제7권5호
  • /
  • Pages.93-102
  • /
  • 2003
  • /
  • 1226-525X(pISSN)
  • /
  • 2234-1099(eISSN)
한국지진공학회 (Earthquake Engineering Society of Korea)
권호 표지
DOI QR코드

DOI QR Code

다단계 목표계획법을 이용한 복합구조제어시스템의 통합최적설계

Integrated Optimal Design of Hybrid Structural Control System using Multi-Stage Goal Programming Technique

  • 박관순 (서울대학교 지구환경시스템공학부) ;
  • 고현무 (서울대학교 지구환경시스템공학부) ;
  • 옥승용 (서울대학교 지구환경시스템공학부)
  • 발행 : 2003.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

이 연구에서는 지진하중을 받는 빌딩구조물에 대한 복합구조제어시스템의 최적설계방법을 제시한다. 복합구조제어시스템의 설계는 구조물의 부재뿐만 아니라 수동제어시스템 및 능동제어시스템의 용량 및 위치 최적화 과정으로 정의된다. 최적설계는 이 연구에서 제안된 다단계 목표계획법(Multi-Stage Goal Programming)을 이용하여 최적화문제를 정식화하고 목표갱신 유전자알고리즘(Goal-Updating Genetic Algorithm을 적용하여 합리적인 최적화를 진행해가는 과정으로 구성된다. 다단계 목표계획법에서는 구조물의 층간 상대변위와 제어시스템의 용량에 대한 설계목표를 여러 단계로 선정하고, 각 물리량과 설계목표간의 정규화된 거리 합으로서 목적함수를 정의한다. 목표갱신 유전자알고리즘은 각 단계별 설계목표를 만족하는 최적해를 검색하고, 현 단계의 모든 설계목표를 만족하는 최적해가 존재할 경우 설계목표를 순차적으로 갱신함으로써 보다 상위수준의 설계목표로 접근해 나아간다. 지진하중을 받는 9층의 빌딩구조물에 대한 수치 예를 통하여 복합구조제어시스템의 통합최적설계 과정을 기술하였고, 구조부재, 수동 및 능동제어시스템이 균등분포된 구조물과 최적 설계결과를 비교하여 제시하는 방법의 효율성을 검증하였다.

An optimal design method for hybrid structural control system of building structures subject to earthquake excitation is presented in this paper. Designing a hybrid structural control system may be defined as a process that optimizes the capacities and configuration of passive and active control systems as well as structural members. The optimal design proceeds by formulating the optimization problem via a multi-stage goal programming technique and, then, by finding reasonable solution to the optimization problem by means of a goal-updating genetic algorithm. In the multi-stage goal programming, design targets(or goals) are at first selected too correspond too several stages and the objective function is th n defined as the sum of the normalized distances between these design goals and each of the physical values, that is, the inter-story drifts and the capacities of the control system. Finally, the goal-updating genetic algorithm searches for optimal solutions satisfying each stage of design goals and, if a solution exists, the levels of design goals are consecutively updated to approach the global optimal solution closest too the higher level of desired goals. The process of the integrated optimization design is illustrated by a numerical simulation of a nine-story building structure subject to earthquake excitation. The effectiveness of the proposed method is demonstrated by comparing the optimally designed results with those of a hybrid structural control system where structural members, passive and active control systems are uniformly distributed.

키워드

참고문헌

  1. Kobori, T., Ban, S., Yamada, T., Muramatsu, S. Takenaka, Y., Arita, T., and Tsujimoto, T., “Earthquake and Wind Resistant Design of Shinjuku Park Tower,” Proceedings of the 2nd Conference on Tall Buildings in Seismic Regions, Los Angeles, 1991.
  2. Miyashita, K., Ohkuma, T., Tamura, Y., and Itoh, M., “Wind-induced Response of High-rise Buildings: Effects of Corner Cuts or Openings in Square Buildings,” Journal of Wind Engineering and Industrial Aerodynamics, Vol. 50, 1993, pp. 319-328. https://doi.org/10.1016/0167-6105(93)90087-5
  3. Koike, Y., Tanida, K., Mutaguchi, M., Murata, T., Imazeki, M., Yamada, T., Kurokawa, Y., Ohrui, S., and Y. Suzuki., “Application of V-shaped hybrid mass damper to high-rise buildings and verification of damper performance,” Proceedings of Structural Engineers World Congress, San Francisco, 1998, CD-ROM: T198-4.
  4. Park, K. S., Koh, H. M., and Ok, S. Y., “Active Control of Earthquake Excited Structures using Fuzzy Supervisory Technique,” Advances in Engineering Software, Vol. 33, No. 11-12, 2002, pp. 761-768. https://doi.org/10.1016/S0965-9978(02)00044-3
  5. 고현무, 박관순, 박원석, “질량감쇠기가 설치된 고층구조물의 풍하중에 대한 사용성 평가”, 대한토목학회논문집, 제21권, 제1-A호, 2001, pp. 53-63.
  6. Kareem, A., Kijewski, T. and Tamura, Y., “Mitigation of Motions of Tall Buildings with Specific Examples of Recent Applications,” Wind and Structures, Vol. 2, No. 3, 1999, pp. 132-184.
  7. Park, W., Koh, H. M., Kim, N. H., Ha, D. H., and Kim, Y. S., “Application and R&D of Active, Semi-Active and Hybrid Vibration Control Techniques for Civil Structures in Korea,” 7th International Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control of Vibration of Structures, Assisi, Italy, 2001. 10, pp. 71-74.
  8. Ahlawat, A. S. and Ramaswamy, A., “Multi-objective optimal design of FLC driven hybrid mass damper for seismically excited structures,” Earthquake Engineering and Structural Dynamics, Vol. 31, No. 7, 2002, pp. 1459-1479. https://doi.org/10.1002/eqe.173
  9. Fonseca, C. M. and Fleming, P. J., “Genetic Algorithms for Multiobjective Optimization : Formulation, Discussion and Generalization,” Proceedings of the Fifth International Conference on Genetic Algorithms, Stephanie Forrest(Ed.), San Mateo, CA: Morgan Kaufman, 1993, pp. 416-423.
  10. Horn, J., Nafpliotis, N., and Goldberg, D. E., “A Niched Pareto Genetic Algorithm for MultiObjective Optimization,” Proceedings of the First IEEE Conference on Evolutionary Computation, 1994, pp. 82-87.
  11. Kirk, D. E., Optimal control theory - an introduction, Prentice Hall, 1970.
  12. Rao, S. S., Engineering optimization : theory and practice, John-Wiley, 3rd ed., 1996.
  13. Kursawe, F., “A Variant of Evolution Strategies for Vector Optimization,” In H. P. Schwefel and R. Manner (Ed.), Parallel Problem Solving from Nature, Proceedings of the First Workshop PPSN, Vol. 496 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1991, pp. 193-197.
  14. Li, Q. S., Liu, D. K., Zhang, N., Tam, C. M., and Yang, L. F., “Multi-Level Design Model and Genetic Algorithm for Structural Control System Optimization,” Earthquake Engineering and Structural Dynamics, Vol. 30, No. 6, 2001, pp. 927-942. https://doi.org/10.1002/eqe.48
  15. Liu, X., Begg, D. W., and Fishwick, R. J., “Genetic Approach to Optimal Topology/Controller Design of Adaptive Structures,” International Journal for Numerical Methods in Engineering, Vol. 41, 1998, pp. 815-830. https://doi.org/10.1002/(SICI)1097-0207(19980315)41:5<815::AID-NME310>3.0.CO;2-O
  16. 박관순, 고현무, 박원석, 옥승용, “구조시스템의 불확실성을 고려한 다중동조 질량감쇠기의 최적설계”, 대한토목학회 논문집, 제22권, 제3-A호, 2002, pp. 533-543.
  17. 박관순, 고현무, 함대기, “점탄성감쇠기가 설치된 구조물의 통합최적설계”, 대한토목학회 논문집, 제22권, 제2-A호, 2002, pp. 413-422.