DOI QR코드

DOI QR Code

Vibration Control of Mega Frame Structures using a Semi-active Tuned Mass Damper

준능동 TMD를 이용한 메가골조구조물의 진동제어

  • 김현수 (성균관대학교 건축공학과) ;
  • 이동근 (성균관대학교 건축공학과)
  • Published : 2007.04.30

Abstract

The mega frame system is becoming popular for the design and construction of skyscrapers because this system exhibits structural efficiency by allowing high rigidity of the structure while minimizing the amount of structural materials to be used. Since the mega frame system is usually adopted for super high-rise buildings, the comfort of occupants may be main concerns in the practical application of this system. For the enhancement of the serviceability of mega frame structures, a semi-active tuned mass damper (STMD) is developed in this study. To this end, a Magnetorheological (MR) damper is employed replacing passive damper as a semi-active damper to improve the control effect of a conventional TMD. Since a conventional finite element model of mega frame structures has significant numbers of DOFs, numerical simulation for investigation of control performances of a STMD is impossible by using the full-order model. Therefore, a reduced-order system using minimal DOFs, which can accurately represent the dynamic behavior of a mega frame structure, is proposed in this study through the matrix condensation technique To improve the efficiency of the matrix condensation technique, multi-level matrix condensation technique is proposed using the structural characteristics of mega frame structures. The efficiency and accuracy of the reduced-order control proposed in this study and the control performance of a STMD were verified using example structures.

메가골조시스템은 사용되는 구조재료를 절약하면서도 구조물의 강성을 효과적으로 높일 수 있는 장점 때문에 고층건물의 설계에 많이 사용되고 있다. 이러한 메가골조시스템이 주로 적용되고 있는 초고층건물의 구조설계에서는 횡하중에 대한 거주자의 불안감을 최소화시키는 것이 주요한 관심사중의 하나이다. 따라서 본 연구에서는 메가골조구조물의 사용성을 향상시키기 위한 방법으로 일반적인 수동 TMD의 제어성능을 개선한 준능동 TMD(STMD)를 사용하였다. 이를 위하여 TMD에서 일반적으로 사용되고 있는 수동감쇠기 대신 준능동 MR 감쇠기를 사용하여 STMD를 구성하였다. 메가골조구조물의 일반적인 유한요소해석모델은 매우 많은 수의 자유도로 구성되어 있기 때문에 원형모델을 사용하여 STMD의 제어성능을 검토하는 것은 현실적으로 불가능하다. 따라서 메가골조구조물의 동적 거동을 정확하게 표현할 수 있는 최소한의 자유도를 가진 응축모델을 행렬응축기법을 이용하여 제안하였다. 또한 일반적인 행렬응축기법의 효율성을 향상시키기 위하여 메가골조구조물의 특성을 활용한 다단계 행렬응축기법을 제안하였다. 본 연구에서 제안된 응축모델을 사용한 제어의 효율성과 정확성 및 메가골조구조물에 대한 STMD의 제어성능을 예제해석을 통하여 검증하였다.

Keywords

References

  1. Ryszard, M.K., Rpbert, S. and Max, B.K., Structural Systems for Tall Buildings, McGraw-Hill, Inc., 1995
  2. Wolfgang, S., The Vertical Building Structure, Van Nostrand Reinhold, New York., 1990
  3. Feng, M.Q. and Mita, A., 'Vibration control of tall building using mega subconfiguration,' Journal of Engineering Mechanics, Vol. 121, No. 10, 1995, pp. 1082-1088 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:10(1082)
  4. Web page of TAKWNAKA's Engineering. http://www.takenaka.co.jp/takenaka_e/engi_e/c02/c02.html
  5. Keiji S., Shinji M, Yoshitaka Y. and Kazuo T., 'Active/passive vibration control systems for tall buildings,' Smart Mater. Struct., Vol. 7, 1998, pp. 588-598 https://doi.org/10.1088/0964-1726/7/5/003
  6. Ahlawat A.S. and Ramaswamy A., 'Multiobjective Optimal Fuzzy Logic Control System for Response Control of Wind-Excited Tall Buildings,' Journal of Engineering Mechanics, ASCE, Vol. 130, No.4, 2004, pp. 524-530 https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(524)
  7. Kareem, A. and Kijewski, T., 'Mitigation of motions of tall buildings with specific examples of recent applications,' Wind and Structures, Vol. 2, No.3, 1999, pp. 201-251 https://doi.org/10.12989/was.1999.2.3.201
  8. Nishitani, A. and Inoue, Y., 'Overview of the application of active/semiactive control to building structures in Japan,' Earthquake Engrg. and Struct. Dyn., Vol. 30, 2001, pp. 1565-1574 https://doi.org/10.1002/eqe.81
  9. Dyke, S.J., 'Current directions in structural control in the US,' 9th World Seminar on Seismic Isolation, Energy Dissipation and Active Vibration Control of Structures, Kobe, Japan, June 13-16, 2005, pp. 1-22
  10. Housner, G.W., Bergman, L.A., Caughey, T.K., Chassiakos, A.G., Claus, R.O., Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, B.H. and Yao, T.P., 'Structural control; Past, Present, and Future,' ASCE, Journal of Engineering Mechanics, Vol. 123, No.9, 1997, pp. 897-971 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  11. Symans, M.D. and Constantinou, M.C., 'Semi-active control systems for seismic protection of structures: a state-of-the-art review,' Engineering Structures, Vol. 21, 1999, pp. 469-487 https://doi.org/10.1016/S0141-0296(97)00225-3
  12. Jansen, L.M. and Dyke, S.J., 'Semiactive Control Strategies for MR Dampers: Comparative Study,' Journal of Engineering Mechanics, ASCE, Vol. 126, No.8, 2000, pp. 795-803 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(795)
  13. Symans, M.D. and Constantinou, M.C., 'Semi-active control systems for seismic protection of structures: a state-of-the-art review,' Engineering Structures, Vol. 21, 1999, pp. 469-487 https://doi.org/10.1016/S0141-0296(97)00225-3
  14. Jansen, L.M. and Dyke, S.J., 'Semiactive Control Strategies for MR Dampers: Comparative Study,' Journal of Engineering Mechanics, ASCE, Vol. 126, No.8, 2000, pp. 795-803 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(795)
  15. Moore, B.C., 'Principle component analysis in linear system: controllability, observability, and model reduction,' IEEE Transaction on Automatic Control, Vol. 26, No.1, 1981, pp. 17-32 https://doi.org/10.1109/TAC.1981.1102568
  16. Yang, J.N. and Liu, M.J., 'Optimal critical-mode control of building under seismic load,' Journal of Engineering Mechanics, Vol. 108, 1982, pp. 1167-1185
  17. Guyan R.J., 'Reduction of stiffness and mass matrix,' AIAA Journal, Vol. 3, No.2, 1965, pp. 380 https://doi.org/10.2514/3.2874
  18. Warburton, G.B., 'Optimum absorber parameters for various combinations of response and excitation parameters,' Earthquake Engrg. and Struct. Dyn., Vol. 10, 1982, pp. 381-401 https://doi.org/10.1002/eqe.4290100304
  19. Spencer, B.F. Jr., Dyke, S.J., Sain, M.K. and Carlson, J.D., 'Phenomenological model for magnetorheological dampers,' J. of Engineering Mechanics, ASCE, Vol.123, No.3, 1997, pp. 230-238 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:3(230)
  20. Karnopp, D., Crosby M.J. and Harwood R.A., 'Vibration control using semi-active force generators,' J. of Engineering for Industry, ASME, Vol. 96, No.2, 1974, pp. 619-626 https://doi.org/10.1115/1.3438373
  21. Davenport A.G., 'Gust Loading Factors,' J. Struct. Div., ASCE, Vol. 93, No.3, 1967, pp. 11-34
  22. Yang, J.N., Wu, J.C, Samali, B. and Agrawal, A.K., 'A benchmark problem for response control of wind-excited tall buildings,' Proc., 2nd World Conf. on Structural Control, Wiley, New York, 1999, pp. 1408-1416