Journal of the Korea institute for structural maintenance and inspection (한국구조물진단유지관리공학회 논문집)

Korea Institute for Structural Maintenance Inspection (한국구조물진단유지관리공학회)
권호 표지

Optimal Active Seismic Control of Structures with Optimum Location of Active Controllers

제어기의 최적위치선정을 고려한 구조물의 최적 능동지진제어

  • Received : 2008.02.29
  • Accepted : 2008.08.12
  • Published : 2008.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

The object of this study is to develope a program with proposed numerical techniques for an optimal seismic control of structures using active tendon systems. Ricatti closed-loop algorithm has been applied to control the active tendon systems with time-delay problem. The optimal control is formulated as an optimization problem which is finding optimal weighting matrices by minimizing the quadratic performance index by SUMT. In order to find the optimal location of active tendons in structures, controllability index has been introduced. From numerical examples, the current optimal control technique with optimal location of tendons was suitable to control the seismic response of structures.

본 연구는 능동텐던을 이용 지진을 받는 구조물의 최적 능동제어 방법에 관한 수치해법 적용 및 프로그램 개발에 목적이 있다. 능동텐던 시스템에 의한 제어이론을 적용하기 위해서 Ricatti 폐회로 알고리즘을 이용하였으며, 시간지연 문제를 고려하였다. 최적제어의 정식화를 위해서 SUMT기법의 최적화에 의해 성능지수를 최소로 하는 최적 가중치행렬을 추정토록 하였다. 구조물에서의 능동텐던의 최적 위치 선정을 위해서 가제어지수에 의한 방법을 소개하였다. 수치 예를 통해, 제어기의 최적 위치선정을 고려한 능동최적제어가 지진하중을 받는 구조물의 성능제어에 우수한 효과를 나타내는 것으로 평가되었다.

Keywords

References

  1. 박문호, 조창근, "최적내진설계에 의한 강뼈대 구조물의 브레이싱 효과", 대한토목학회 논문집, Vol, 18 No. 1-6, 1998, pp. 229-839
  2. 정형일, 홍갑표 "고층건물의 능동제어 알고리즘 적용에 관한 연구", 대한건축학회 학술발표논문집, 제14권, 제2호, 1994, pp. 439-444
  3. Abdel-Rohman, M., Quintana, V.H., and Leipholz, H.H. "Optimal Control of Civil Engineering Structures", ASCE Journal of the Engineering Mechanics Division, Vol. 106, No. EM1, 1980, pp. 57-73
  4. Chang, J.C.H. and Soong, T.T. "Structural Control Using Active Tuned Mass Dampers", ASCE Journal of the Engineering Mechanics Division, Vol. 106, No. EM6, 1980, pp. 1091-1098
  5. Cheng, F.Y. and Pantelides, C.P. "Optimal Placement of Actuators for Structural Coltrol", Technical Report, NCEER-88-0037, 1988
  6. Chung, L.L., Reinhorn, A.M., and Soong, T.T. "An Experimental Study of Active Control", The Third Specialty Conference on Dynamic Response of Structures, ASCE/EMD, Los Angeles, 1986
  7. Elbert, T.F. "Estimation and Control of Systems", Van Nostrand Reinhold Company Inc., New York, 1984
  8. Fiacco, A.V. and McCormick, G.P. "Nonlinear Programming: Sequential Unconstrained Minimization Techniques", SIAM, 1990
  9. International Conference of Building Officials, "Internaltional Building Code, IBC 2000", International Code Council, 2000
  10. Ionescu, V., Oara, C., and Weiss, M. Generalized Ricatti Theory and Robust Control, John Wiley & Sons Inc. NY, 1999
  11. Laskin, R.A. "Aspect of the Dynamics and Controllability of Large Flexible Structures", Ph. D. Thesis, Columbia University, N. Y., 1982
  12. Martin, C.R. and Soong, T.T. "Modal Control of Multistory Structures", ASCE Journal of the Engineering Mechanics Division, Vol. 102, No. EM4, 1976, pp. 613-623
  13. Meirovitch, L. "Dynamics and Control of Structures", John Wiley and Sons, 1990, p. 425
  14. Meirovitch, L. and Silverberg, L.M. "Control of Structures Subjected to Seismic Excitation", ASCE Journal of Engineering Mechanics, Vol. 109, No. 2, 1983, pp. 604-618
  15. Patelides, C.P. "Optimum Design of Actively Controlled Structures", Earthquake Engineering and Structural Dynamics, Vol. 19, 1990, pp. 583-596
  16. Potter, J.E. "Matrix Quadratic Solutions, SIAM Journal of Applied Mathematics", Vol. 14, No. 3, 1966, pp. 496-501 https://doi.org/10.1137/0114044
  17. Rooda, J. "Tendon Control in Tall Structures", ASCE Journal of the Structural Division, Vol. 101, No. ST3, 1975, pp. 505-521
  18. Rooda, J. "Experiments in Feedback Control of Structures", In H.H. Leipholz Structural Control, North Holland, Amsterdam, 1980, pp. 629-61
  19. Soong, T.T. and Chen, W.F. "Active Structural Control: Theory and Practice", John Wiley & Sons, Inc., New York, 1990
  20. Yang, J.N. and Lin, M.J. "Building Critical-Mode Control : Nonstationary Earthquake", ASCE Journal of Engineering Mechanics, Vol. 109, No. 6, 1983, pp. 1375-1389
  21. Yang, J.N. and Samali, B. "Control of Tall Buildings in Along-Wind Motion", ASCE Journal of Structural Engineering, Vol. 109, No. 1, 1983, pp. 50-68 https://doi.org/10.1061/(ASCE)0733-9445(1983)109:1(50)