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A Study on Cost-Effectiveness Evaluation and Optimal Design of ant dampers for Cable-Stayed Bridges

사장교에 장착된 MR 댐퍼의 비용효율성 평가 및 최적설계 연구

  • 박원석 (서울대학교 교량설계핵심기술연구단) ;
  • 함대기 (서울대학교 지구환경시스템공학부) ;
  • 고현무 (서울대학교 지구환경시스템공학부) ;
  • 박관순 (동국대학교 건축공학과)
  • Published : 2006.12.31

Abstract

A method is presented for evaluating the economic efficiency of a semi-active magneto-rheological (MR) damper system for cable-stayed bridges under earthquake loadings. An optimal MR damper capacity maximizing the cost-effectiveness is estimated for various seismic characteristics of ground motion. The economic efficiency of MR damper system is addressed by introducing the life-cycle cost concept. To evaluate the expected damage cost, the probability of failure is estimated. The cost-effectiveness index is defined as the ratio of the sums of the expected damage costs and each device cost between a bridge structure with the MR damper system and a bridge structure with elastic bearings. In the evaluation of cost-effectiveness, the scale of damage cost is adopted as parametric variables. The results of the evaluation show that the MR damper system can be a cost-effective design alternative. The optical capacity of MR damper is increased as the seismic hazard becomes severe.

지진응답 제어를 위하여 사장교 구조물에 장착된 준능동MR 댐퍼의 경제적 효율성 평가기법을 제안하였으며, 다양한 지반운동 특성에 대하여 비용효율성을 극대화하는 MR 댐퍼의 최적용량에 대한 분석을 수행하였다. MR 댐퍼의 비용효율성 평가를 위하여 생애주기비용 개념을 적용하였으며, 생애주기비용을 이루는 비용항목 중 손상비용의 기대값을 평가하기 위하여 지진재해로 인한 사장교의 파괴확률을 추정하였다. 사장교의 파괴로 인한 직 간접 손상비용의 규모를 매개변수로 하여 비용효율성을 평가하였다. 비용효율성 평가지수는 MR 댐퍼의 장착으로 인한 추가 투자비용과 사장교 구조물의 손상비용으로 이루어진 함수로서, 탄성받침이 사용된 기존의 설계에 대한 경제적 효율성을 나타내도록 정의하였다. 사장교의 지진응답 제어를 위하여 장착된 MR 댐퍼는 경제적으로 효율적인 대안인 것으로 나타났다. 지반운동의 특성과 손상비용 규모에 대한 MR 댐퍼의 최적 용량을 분석한 결과, 지진위험도 및 손상비용 규모가 커짐에 따라 가장 높은 비용효율성을 가지는 MR 댐퍼용량이 증가하는 것을 확인할 수 있었다.

Keywords

References

  1. Ito, M., Fujino, Y., Narita, N. and Miyata, T., Cable-stayed bridges-their recent developments and their future, Elsevier, Amsterdam, 1995
  2. Gimsing, N., editor, Cable-stayed bridges-past, present and future, IABSE conference, 1999
  3. Chang, S.P., editor, Cable-supported bridges--challenging technical limits, IABSE conference, 2001
  4. Yamaguchi, H. and Ito, M., 'Full-scale measurements and structural damping of cable-supported bridges,' Proceedings of international bridge conference - bridges into 21st century, 1995, pp. 557-564
  5. Larsen, A, editor, Aerodynamics of large bridges, Rotterdam, Balkema, 1992
  6. Larsen, A and Esdahl, S., Bridge aerodynamics, Rotterdam, Balkema, 1998
  7. Fujino, Y., Soong, T.T. and Spencer, Jr. B.F., 'Structural control-basic concepts and applications,' Proceedings of the ASCE Structures Congress XlV, 1996, pp. 1277-1287
  8. 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, Jr. B.F. and Yao, J.T.P. 'Structural control: past, present, and future,' Journal of Engineering Mechanics, Vol. 123, No.9, 1997, pp. 897-971 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  9. 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, No.6, 1999, pp. 469-487 https://doi.org/10.1016/S0141-0296(97)00225-3
  10. Fujino, Y., 'Vibration, control and monitoring of long-span bridges-recent research, developments and practice in Japan,' Journal of Constructional Steel Research, Vol. 58, 2002, pp. 71-97 https://doi.org/10.1016/S0143-974X(01)00049-9
  11. 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)
  12. Kobori, T., 'Present and future in seismic response control of civil engineering structures,' Proceedings of the Third World Conference on Structural Control, Vol. 1, 2002, pp. 9-14
  13. 교량설계핵심기술연구단, '교량해석 및 설계 선진화 교량의 응답제어기술 개발,' 보고서, 건설교통부, 2004
  14. Spencer, Jr. B.F., Carlson, J.D., Sain, M.K. and Yang, G., 'On the current status of rnagnetorheological dampers: seismic protection of full-scale structures,' Proceedings of 1997 American Control Conference, Albuquerque, NM, 1997, pp. 458-462
  15. Carlson, J.D. and Spencer, Jr. B.F., 'Magneto-rheological fluid dampers for semi-active seismic control,' Proceedings of Third International Conference on Motion and Vibration Control, Vol. III, Chiba, Japan, 1996, pp. 35-40
  16. Fujitani, H., Sodeyama, H., Tomura, T., Hiwatashi, T., Shiozaki, Y., Hata, K., Sunakoda, K., Morishita, S. and Soba, S., 'Development of 400kN magnetorheological damper for a real base-isolated building,' Conference on Smart Structures and Materials 2003: Damping and Isolation, SPIE, Vol. 5057, 2003, pp. 265-276
  17. Yang, J.N., Lin, S. and Jabbari, F., 'Hi-based control strategies for civil engineering structures,' Journal of Structural Control, Vol. 10, No. 3-4, 2003, pp. 205-230 https://doi.org/10.1002/stc.26
  18. Agrawal, A.K., Yang, J.N. and He, W.L., 'Applications of some semiactive control systems to benchmark cable-stayed bridge,' Journal of Structural Engineering, Vol. 129, No. 7, 2003, pp. 884-894 https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(884)
  19. Bontempi, F., Casciati, F. and Giudici, M., 'Seismic response of a cable-stayed bridge: active and passive control systems (benchmark problem),' Journal of Structural Control, Vol. 10, No. 3-4, 2003, pp. 169-185 https://doi.org/10.1002/stc.24
  20. lemma, H. and Pradono, M.H., 'Application of pseudonegative stiffness control to the benchmark cable-stayed bridge,' Journal of Structural Control, Vol. 10, No. 3-4, 2003, pp. 187-203 https://doi.org/10.1002/stc.25
  21. Wen, Y.K. and Shinozuka, M., 'Cost-effectiveness in active structural control,' Engineering Structures, Vol. 20, No.3, 1998, pp. 216-221 https://doi.org/10.1016/S0141-0296(97)00080-1
  22. 고현무, 송준호, '사용기간비용 최소화에 의한 지진격리교량의 경제성 평가', 대한토목학회논문집, 제 19권, 제 I-4호, 1999, pp. 539-550
  23. Koh, H.M., 'Cost-effectiveness analysis for seismic isolation of bridges,' keynote lecture, Proceedings of the Third World Conference on Structural Control, Como, Italy, Vol. I, 2002, pp. 69-83
  24. 박관순, 함대기, 고현무, '생애주기비용 최소화에 의한 점탄성 감쇠기 장착 빌딩구조물의 통합최적설계 및 비용효율성 평가', 한국지진공학회논문집, 제 9권, 제 2호, 2005, pp. 17-27 https://doi.org/10.5000/EESK.2005.9.2.017
  25. 함대기, 옥승용, 박원석, 고현무, 박관순, '준능동 제어시스템을 이용한 사장교의 진동제어 및 비용효율성 평가', 한국지진공학회논문집, 제9권, 제4호, 2005, pp. 43-54 https://doi.org/10.5000/EESK.2005.9.4.043
  26. Ang, A.H.-S. and Leon, D.D., 'Determination of optimal target reIiabiIities for design and upgrading of structures,' Structural Safety, Vol. 19, No. 1, 1997, pp. 91-103 https://doi.org/10.1016/S0167-4730(96)00029-X
  27. Stewart, M.G., 'Reliability-based assessment of ageing bridges using risk ranking and life cycle cost decision analyses,' Reliability Engineering and System Safety, Vol. 74, 2001, pp. 263-273 https://doi.org/10.1016/S0951-8320(01)00079-5
  28. Newland, D.E., Random vibrations, spectral & wavelet analysis, Longman Scientific & Technical, 1994
  29. Chopra, A.K, Dynamics of Structure: theory and applications to earthquake engineering, Prentice Hall, Upper Saddle River, NJ, 2001
  30. Pacific Earthquake Engineering Research Center, PEER Strong Motion Database, http://peer.bekeley.edu/smcat
  31. AASHTO, Standard Specifications for Highway Bridges, 17th Ed., American Association of State Highway and Transportation Officials, Washington, D.C., 2002
  32. 김동석, 최현석, 박원석, 고현무, '에너지 소산장치를 사용한 지진 취약도 해석', 한국지진공학회논문집, 제10권, 제3호, 2006, pp. 1-11 https://doi.org/10.5000/EESK.2006.10.3.001
  33. Yi, F., Dyke, S.J., Caicedo, J.M. and Carlson, J.D., 'Seismic response control using smart dampers,' Proceedings of 1999 American Control Conference. San Diego, 1999, pp. 1022-26
  34. Yi, F., Dyke, S.J., Caicedo, J.M. and Carlson, J.D., 'Experimental verification of multi-input seismic control strategies for smart dampers,' Journal of Engineering Mechanics, 2001, Vol. 127, No. 11, pp. 1152-64 https://doi.org/10.1061/(ASCE)0733-9399(2001)127:11(1152)
  35. Yoshida, O. and Dyke, S.J., 'Seismic control of a nonlinear benchmark building using smart dampers,' Journal of Engineering Mechanics, 2004, Vo1.130, No.4, pp. 386-92 https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(386)
  36. 옥승용, 김동석, 박관순, 고현무, '사장교의 지진응답제어를 위한 준능동 MR 감쇠기의 퍼지제어', 한국지진공학회논문집, 제 9권, 제 6호, 2005, pp. 75-90 https://doi.org/10.5000/EESK.2005.9.6.075
  37. Chang, S.E. and Shinozuka, M., 'Life-Cycle Cost Analysis with Natural Hazard Risk,' Journal of Infrastructure Systems, 1996, Vol. 2, No.3, pp. 118-26 https://doi.org/10.1061/(ASCE)1076-0342(1996)2:3(118)