DOI QR코드

DOI QR Code

선형 점성 감쇠기가 장착된 인접구조물의 진동제어를 위한 유전자 알고리즘 기반 최적설계

GA-Based Optimal Design for Vibration Control of Adjacent Structures with Linear Viscous Damping System

  • 옥승용 (서울대학교 교량설계핵심기술연구단) ;
  • 김동석 (서울대학교 지구환경시스템공학부) ;
  • 고현무 (서울대학교 지구환경시스템공학부) ;
  • 박관순 (동국대학교 건축공학부)
  • 발행 : 2007.02.28

초록

이 연구에서는 인접한 두 빌딩의 진동제어를 위한 방법으로 선형 점성 감쇠기의 위치별 용량의 최적설계방법을 제시하고자 한다. 기존 연구들에서는 감쇠기의 균등분포 또는 층별 감쇠비의 민감도에 비례하는 분포의 가정 하에서의 준최적(suboptimal) 설계문제를 다룬 반면, 이 연구에서는 감쇠기의 위치별 용량을 독립적인 설계인자로 고려함으로써 전역 최적해를 결정하는 최적화기법을 다루었다. 이를 위하여 넓은 영역에서 다수의 설계변수를 효율적으로 검색할 수 있는 유전자 알고리즘(genetic algorithm)을 도입하였으며, 제어 성능 및 감쇠용량에 대한 목적함수의 정의를 달리함으로써 얻어지는 여러 최적설계 결과를 상호 비교하여 보다 최적의 해를 구할 수 있는 목적함수를 정립하였다. 기존 연구결과와의 제어성능 및 감쇠용량의 비교를 통하여 제시하는 방법의 효율성을 검증하였다. 아울러 서로 상이한 주파수 성분을 띄는 실제 역사지진에 대한 시간이력해석을 통하여 제시하는 방법이 인접 구조물의 효과적인 제진설계방법이 될 수 있음을 입증하였다.

This paper proposes an optimal design method of distribution and capacities of linear viscous dampers for vibration control of two adjacent buildings. The previous researches have dealt with suboptimal design problem under the assumption that linear viscous dampers are distributed uniformly or proportionally to the sensitivity of the modal damping ratio according to floors, whereas this study deals with global optimization problem in which the damping capacities of each floor are independently selected as design parameters. For this purpose, genetic algorithm to effectively search multiple design variables in large searching domains is adopted and objective function leading to the global optimal solutions is established through the comparison of several optimal design values obtained from different objective functions with control performance and damping capacity. The effectiveness of the proposed method is investigated by comparing the control performance and total damping capacity designed by the proposed method with those of the previous method. In addition, the time history analyses are performed by using three historical earthquakes with different frequency contents, and the simulation results demonstrate that the proposed method is an effective seismic design method for the vibration control of the adjacent structures.

키워드

참고문헌

  1. National Academy of Sciences, The Great Alaska Earthquake of 1964, Engineering NAS Publication 1606, Washington, D.C., 1964
  2. Mahin, S.A., Bertero, V.V., Chopra, A. K. and Collins, R.G., Response of the Olive View Hospital Main Building during the San Fernando earthquake, Report No. EERC 76- 22, University of California, Berkeley, 1976
  3. Bertero, V.V., 'Observations on Structural Pounding,' International Proceedings of the International Conference on the Mexico Earthquake, ASCE, 1987. pp. 264-278
  4. Benuska, L., (eds.), Loma Prieta Earthquake Reconnaissance Report, Report No. 90-01, Earthquake Engineering Research Institute (EERI), Oakland, CA., 1990
  5. Youd, T.L., Bardet, J-P. and Bray, J.D., (eds.), Kocaeli, Turkey, Earthquake of August 17, 1999 Reconnaissance Report, Publ. No. 00-03, Earthquake Engineering Research Institute (EERl), Oakland, CA., 2000
  6. Jennings, P.C., Engineering Features of the San Fernando Earthquake of February 9, 1971, Report No. EERL-71-02, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, 1971
  7. Hall J.F., (eds.), Northridge Earthquake of January 17, 1994 - Reconnaissance Report, Vol. 1, Report No. 95-03, Earthquake Engineering Research Institute (EERI), Oakland, CA, 1995
  8. Comartin C.D., Greene M. and Tubbesing S.K. (eds.), The Hyogo-Ken Nanbu Earthquake Reconnaissance Report, Report No. 95-04, Earthquake Engineering Research Iustitute (EERI), Oakland, CA, 1995
  9. Uzarski, J. and Arnold, C., (eds.), Chi-Chi, Taiwan, Earthquake of September 21, 1999 - Reconnaissance Report, Publ. No. 01-02, Earthquake Engineering Research Iustitute (EERI), Oakland, CA, 2001
  10. Earthquake Engineering Research Institute, The Nisqually, Washington, Earthquake of February 28, 2001- Preliminary Reconnaissance Report, EERI, Oakland, CA, 2001
  11. Jain, S.K., Lettis, W.R., Murty, C.Y.R. and Bardet, J.P. (eds), Bhuj, India Earthquake of January 26, 2001 Reconnaissance Report, Publ. No. 02-01, Earthquake Engineering Research Institute (EERI), Oakland, CA, 2002
  12. Leibovich, A.E., Rutenberg, A. and Yankelevsky, D.Z., 'On eccentric seismic pounding of symmetric buildings,' Earthquake Engineering and Structural Dynamics, Vol. 25, 1996, pp. 219-233 https://doi.org/10.1002/(SICI)1096-9845(199603)25:3<219::AID-EQE537>3.0.CO;2-H
  13. Kobori, T., Yamada, T., Takenaka, Y., Maeda, Y. and Nishimura, I., 'Effect of dynamic tuned connector on reduction of seismic response: application to adjacent office buildings,' In: Proceedings of the 9th World Conference on Earthquake Engineering, Vol. V, Tokyo-Kyoto, Japan, 1988, pp. 773-778
  14. Westermo, B., 'The dynamics of interstructural connections to prevent pounding,' Earthquake Engineering and Structural Dynamics, Vol. 18, 1989, pp. 687-699 https://doi.org/10.1002/eqe.4290180508
  15. Gurley, K., Kareem, A., Bergman, L.A. Johnson, E.A. and Klein, R.E., 'Coupling tall buildings for control of response to wind,' Proc. 6th Int. Conf. on Structural Safety and Reliability, Schueller, Shinozuko & Yao, (eds.), Balkema Publishers: Rotherdam, Netherlands, 1994, pp. 1553-1560
  16. Kamagata, K., Miyajima, K. and Seto, K., 'Optimal design of damping devices for vibration control of parallel structures,' Proceedings of the 3rd International Conference on Motion and Vibration Control, Chiba, Vol. 2, 1996, pp. 334-339
  17. Zhang, W.S. and Xu, Y.L., 'Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers,' Earthquake Engineering and Structural Dynamics, Vol. 28, No. 10, 1999, pp. 1163-1185 https://doi.org/10.1002/(SICI)1096-9845(199910)28:10<1163::AID-EQE860>3.0.CO;2-0
  18. Xu, Y.L., He, Q. and Ko, J.M., 'Dynamic response of damper-connected adjacent buildings nnder earthquake excitation,' Engineering Structures, Vol. 21, 1999, pp. 135-148 https://doi.org/10.1016/S0141-0296(97)00154-5
  19. Zhang, W.S. and Xu, Y.L., 'Vibration analysis of two buildings linked by Maxwell Model-defined fluid dampers,' Journal of Sound and Vibration, Vol. 233, 2000, pp. 775-796 https://doi.org/10.1006/jsvi.1999.2735
  20. Zhu, H.P. and Iemura, H., 'A study of response control on the passive coupling element between two parallel structures,' Structural Engineering and Mechanics, Vol. 9, 2000, pp. 383-396 https://doi.org/10.12989/sem.2000.9.4.383
  21. Ni, Y.Q., Ko, J.M. and Ying, Z.G., 'Random seismic response analysis of adjacent buildings coupled with non-linear hysteretic dampers,' Journal of Sound and Vibration, Vol. 246, No.3, 2001, pp. 403-417 https://doi.org/10.1006/jsvi.2001.3679
  22. Abdullah, M.M., Hanif, J.H., Richardson, A. and Sobanjo, L., 'Use of a shared tuned mass damper (STMD) to reduce vibration and pounding in adjacent structures,' Earthquake Engineering and Structural Dynamics, Vol. 30, 2001, pp. 1185-1201 https://doi.org/10.1002/eqe.58
  23. Bhaskararao, A.V. and Jangid, R.S., 'Harmonic response of adjacent structures counected with a friction damper,' Journal of Sound and Vibration, Vol. 292, 2006, pp. 710-725 https://doi.org/10.1016/j.jsv.2005.08.029
  24. Klein, R.E. and Healy, M.D., 'Semi-active control of wind induced oscillations,' Proc. 2nd International Conference on Structural Control, University of Waterloo, Ontario, Canada, 15-17 July, 1985, pp. 354-369
  25. Yang, J.N., Akbarpour, A. and Ghaemmagharni, P., 'New control algorithms for structural control,' Journal of Engineering Mechanics, ASCE, Vol. 113, No.9, 1987, pp. 1369-1386 https://doi.org/10.1061/(ASCE)0733-9399(1987)113:9(1369)
  26. Luco, J.E. and Wong, H.G., 'Control of the seismic response of adjacent structures,' Proc. 1st World Conf. on Structural Control, Vol. 2, 3-5 August, 1994, Los Angeles, CA, TA2, pp. 21-30
  27. Zhang, W.S. and Xu, Y.L., 'Seismic response of adjacent buildings connected by active tendon devices,' Smart Structures and Materials 1999: Smart Systems for Bridges, Structures, and Highways, Vol. 3671, 1999, pp. 217-228 https://doi.org/10.1117/12.348672
  28. Xu, Y.L. and Zhang, W.S., 'Closed-form solution for seismic response of adjacent buildings with linear quadratic Gaussian controllers,' Earthquake Engineering and Structural Dynamics, Vol. 31, 2002, pp. 235-259 https://doi.org/10.1002/eqe.107
  29. Iwanami, K., Suzuki, K. and Seto, K., 'Studies of the vibration control method of parallel structures,' Trans. JSME, No. 86-0247A, 1986, pp. 3063-3072
  30. Kageyama, M., Yoshida, O. and Yasui, Y., 'A study on optimum damping systems for connected double frame structures,' Proceedings of the 1st world Conference on Structural Control, Los Angeles, CA, Vol. 1, WP4, 1994, pp. 32-39
  31. Kageyama, M., Yasui, Y., Suzuki, T. and Seto, K., 'A study on optimum desigu of joint dampers connecting two towers: the case of connecting two same height towers at multiple points,' Proceedings of the 2nd World Conference on Structural Control, Vol. 2, 1999, pp. 1463-1472
  32. Luco, J.E. and De Barros, F.C.P., 'Optimal damping between two adjacent elastic structures,' Earthquake Engineering and Structural Dynamics, Vol. 7, No.7, 1998, pp. 649-659
  33. Sugino, S., Sakai, D., Kundu, S. and Seto, K., 'Vibration control of parallel structures connected with passive devices desigued by GA,' Proceedings of the 2nd World Conference on Structural Control, Vol. 1, 1999, pp. 329-337
  34. 옥승용, 박관순, 고현무, '인접구조물의 진동제어를 위한 선형 감쇠시스템의 최적설계', 한국지진공학회 논문집, 제10권, 제3 호, 2006, pp. 85-100 https://doi.org/10.5000/EESK.2006.10.3.085
  35. Rao, S.S., Engineering optimization: theory and practice, John Wiley & Sons, Inc., New York, 1996
  36. Chopra, A.K., Dynamics of structures: theory and applications to earthquake engineering, Prentice Hall, Upper Saddle River, New Jersey, 1995, pp. 424
  37. Chen, C.T., Linear system theory and design, New York Oxford, Oxford nniversity press, 1999, pp. 16
  38. Spencer, Jr. B.F. and Nagarajaiah, S., 'State of the art of structural control,' Journal of Structural Engineering, ASCE, Vol. 129, No. 7, 2003, pp. 845-856 https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845)
  39. 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. 201-251 https://doi.org/10.12989/was.1999.2.3.201

피인용 문헌

  1. Performance Evaluation of Multi-Hazard Adaptive Smart Control Technique Based on Connective Control System vol.18, pp.4, 2018, https://doi.org/10.9712/KASS.2018.18.4.97