DOI QR코드

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Statistical properties of the maximum elastoplastic story drift of steel frames subjected to earthquake load

  • Li, Gang (Department of Engineering Mechanics, State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology)
  • 투고 : 2002.10.24
  • 심사 : 2003.04.29
  • 발행 : 2003.06.25

초록

The concept of performance based seismic design has been gradually accepted by the earthquake engineering profession recently, in which the cost-effectiveness criterion is one of the most important principles and more attention is paid to the structural performance at the inelastic stage. Since there are many uncertainties in seismic design, reliability analysis is a major task in performance based seismic design. However, structural reliability analysis may be very costly and time consuming because the limit state function is usually a highly nonlinear implicit function with respect to the basic design variables, especially for the complex large-scale structures for dynamic and nonlinear analysis. Understanding statistical properties of the structural inelastic deformation, which is the aim of the present paper, is helpful to develop an efficient approximate approach of reliability analysis. The present paper studies the statistical properties of the maximum elastoplastic story drift of steel frames subjected to earthquake load. The randomness of earthquake load, dead load, live load, steel elastic modulus, yield strength and structural member dimensions are considered. Possible probability distributions for the maximum story are evaluated using K-S test. The results show that the choice of the probability distribution for the maximum elastoplastic story drift of steel frames is related to the mean value of the maximum elastoplastic story drift. When the mean drift is small (less than 0.3%), an extreme value type I distribution is the best choice. However, for large drifts (more than 0.35%), an extreme value type II distribution is best.

키워드

참고문헌

  1. ANSYS Inc. (2000a), ANSYS 5.7 document: Structural Analysis Guide.
  2. ANSYS Inc. (2000b), ANSYS 5.7 document: Programmer's Guide.
  3. Applied Technology Council (1996), Seismic Evaluation and Retrofit of Existing Concrete Buildings, ATC 40.
  4. Atkison, A.C., and Pearce M.C. (1976), "The Computer generation of Beta, Gamma, and normal random variables (with discussion)", JRSS (A) 139, 431-461.
  5. Building Research Institute (2000). Performance-based Engineering for Structural Design of Buildings, BRI Research Paper No. 143.
  6. Cheng, G.D., and Li, G. (2000), "Some key problems on performance based seismic design", Journal of Building Structures, 21(1), 5-11.
  7. Collins, K.R. (1998), "Reliability-based design in the context of performance-based design", Proc. of Structural Engineers World Congress (SEWC'98), T178-2.
  8. DeGroot, M.H. (1986), Probability and Statistics (second edition), Addison-Wesley Publishing Company.
  9. Ellingwood, B.R. (1994), "Probability-based codified design: past accomplishments and future challenges", Structural Safety, 13(2), 159-176. https://doi.org/10.1016/0167-4730(94)90024-8
  10. Federal Emergency Management Agency (1996), NEHRP Guidelines for the Seismic Rehabilitation of Buildings, FEMA 273.
  11. Gao, H.X. (1995), Statistical Computing, Peking University Press, Beijing.
  12. Gao, X.W. (1990), "Aseismic reliability analysis of reinforced concrete frame structure", PhD Thesis, Tsinghua University, China.
  13. Gao, X.W., and Bao, A.B. (1985), "Probabilistic model and its statistical parameters for seismic load ", Earthquake Eng. & Eng. Vibration, 5(1), 13-22.
  14. GBJ (1984), Uniform Standards for Building Structure Design, China Building Industry Press, Beijing.
  15. GBJ (2001), Code for Seismic Design of Buildings (GBJ50011-2001), China Building Industry Press, Beijing.
  16. James, F.A. (1990), "Review of pseudorandom number generators", Computer Physics Communication, 60, 329-344. https://doi.org/10.1016/0010-4655(90)90032-V
  17. Kendall S.M., and Stuart, A. (1979), The Advanced Theory of Statistics, Volume 2-Interface and Relationship (forth edition), Charles Griffin & Company Limited, London.
  18. Kennedy,W.J., Gentle J.E. (1980), Statistical Computing, Marcel Dekker Inc.
  19. Kinderman, A.J., and Ramage, J.C. (1976), "Computer generation of normal random variables", JASA 71, 893-896. https://doi.org/10.1080/01621459.1976.10480965
  20. Li G., Cheng G.D. (2002), "Probability distribution of story drift of seismic RC frames", Journal Dalian of University of Technology, 42(3), 153-157
  21. Li, J.H. et al (1990), Probability Limit State Design for Building Structures, China Building Industry Press, Beijing.
  22. Melchers, R.E. (1999), Structural Reliability Analysis and Prediction (second edition), John Wiley & Sons.
  23. Mrazik, A., and Krizma, M(1997), "Probability-based design standards of structures", Structural Safety, 19(2), 219-234. https://doi.org/10.1016/S0167-4730(96)00036-7
  24. Payne, W.H. (1977), "Normal random numbers: using machine analysis to choose the best algorithm", TOMS 3, 346-358. https://doi.org/10.1145/355759.355763
  25. Song, J.L., Ellingwood B.R. (1999), "Seismic reliability of space moment steel frames with welded connections: I and II", Journal of Structural Engineering, ASCE, 125(4), 357-384. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:4(357)
  26. Structural Engineers Association of California (1995), Performance Based Seismic Engineering of Buildings, SEAOC Vision 2000.
  27. Wen, Y.K. (2001a), "Reliability and performance based design", Structural Safety, 23, 407-428. https://doi.org/10.1016/S0167-4730(02)00011-5
  28. Wen, Y.K. (2001b), Minimum lifecycle cost design under multiple hazards, Reliability Engineering & System Safety, 73, 223-231. https://doi.org/10.1016/S0951-8320(01)00047-3
  29. Wu, X.Z., and Wang, Z.J., (1996), Methodology of Nonparametric Statistics, Higher Education Press, China.
  30. Xu, S.L. (1992), Fortran Programs for Commonly Used Algorithms, Tsinghua University Press, Beijing.

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