DOI QR코드

DOI QR Code

A Dynamic Condensation for Tall Buildings with Active Tuned Mass Damper

능동 동조질량감쇠의 고층빌딩 해석을 위한 동적압축법

  • Jung, Yang-Ki ;
  • Qu, Zu Qing (University of Arkanasas, Civil Engineering)
  • 정양기 (교통안전공단 자동차성능시험연구소) ;
  • Published : 2006.04.30

Abstract

It is impractical to install sensors on every floor of a tall building to measure the full state vector because of the large number of degrees of freedom. This makes it necessary to introduce reduced order control. A kind of system reduction scheme (dynamic condensation method) is proposed in this paper. This method is iterative and Guyan condensation is looked upon as an initial approximation of the iteration. Since the reduced order system is updated repeatedly until a desired one is obtained, the accuracy of the reduced order system resulting from the proposed method is much higher than that obtained from the Guyan condensation method. An eigenvalue shilling technique is applied to accelerate the convergence of Iteration. Two schemes to establish the reduced order system by using the proposed method are also presented and discussed in this paper. The results for a tail building with active tuned mass damper show that the proposed method is efficient for the reduced order modelling and the accuracy is very close to exact only after two iterations.

Keywords

active control;dynamic condensation;tuned mass damper

References

  1. Soong, T.T., Reinhorn, A.M., Aizawa, S., and Higashino, M., 'Recent structural applications of active control technology,' Journal of Structural Control, Vol. 1 No.2, 1994, pp. 15-21
  2. Abiru, H., Fujishiro, M., and Matsumoto, T., 'Tuned active dampers installed in the Yokokarna Landmark Tower,' JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing, Vol. 37, No.3, 1994, pp. 450-455 https://doi.org/10.1299/jsmec1993.37.450
  3. Soong, T.T., Active Structural Control: Theory and Practice, Longman and Wiley: London, 1990
  4. Wilson, D.A, 'Model reduction for multivariable systems,' International Journal of Control, Vol. 20, No.1, 1974, pp. 57-64 https://doi.org/10.1080/00207177408932715
  5. Hyland, B.C., and Bernstein, D.S., 'The optimal projection equation for fixed order dynamic condensation,' IEEE Transaction on Automatic Control, Vol. 29, No. 11, 1984, pp. 1034-1037
  6. Yang, I.N, and Liu, M.J., 'Optimal critical-mode control of building under seismic load,' Journal of Engineering Mechanics, Vol. 108(EM6), 1982, pp.1167-1185
  7. 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
  8. Sowmianarayanan, S., and Pradeep, S., 'Vibration suppression of a spacecraft solar array using on-off thrusters,' Proceedings of the 1999 AIAA/ ASME/ASCE/AHS/ASC Structures; Structural Dyna- mics; and Materials Conference and Exhibit, 1999, pp. 3097-3106
  9. Matta, K.W., 'Selection of degrees of freedom for dynamic analysis,' Journal of Pressure Vessel Technology, Vol. 109, No.1, 1987, pp. 65-69 https://doi.org/10.1115/1.3264857
  10. Qu, Z.Q., 'Structural Dynamic Condensation Techniques: Theory and Application,' Ph.D. Thesis, Shanghai Jiao Tong University, Shanghai, People's Republic of China, 1998
  11. Meirovitch, L., Dynamics and Control of Structures, Wiley: New York, 1990
  12. Cao, H., Reinhorn, A.M., and Soong, T.T., 'Design of an active mass damper to a tall TV tower in Nanjing. China,' Engineering Structures, Vol. 20, No.3, 1998, pp. 134-143 https://doi.org/10.1016/S0141-0296(97)00072-2
  13. Ankireddi, S., and Yang, H.T.Y. , 'Simple ATMD control methodology for tall buildings subject to wind loads,' Journal of Structural Engineering, Vol. 122, No.1, 1996, pp. 83-91 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:1(83)
  14. Gaudenzi, P., Giarda, D., and Morganti, F., 'Active microvibration control of an optical payload installed on the ARTEMIS spacecraft,' Journal of Intelligent Material Systems and Structures, Vol. 9, No.9, 1999, pp. 740-748 https://doi.org/10.1177/1045389X9800900906
  15. Sun, L., Krodkiewski, J.M., Janusz, M., and Zhang, N., 'Modeling and analysis of the dynamic behaviour of an active journal bearing,' Proceedings of the International Gas Turbine and Aeroengine Congress and Exposition, ASME, New York, U.S.A.. 1994, pp. 1-6
  16. Henshell, R.D., and Ong, J.H., 'Automatic masters for eigenvalue economization,' Earthquake Engineering and Structural Dynamics, Vol. 3, No. 4, 1975, pp. 375-383 https://doi.org/10.1002/eqe.4290030408