Wind and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Efficient wind fragility analysis of RC high rise building through metamodelling

  • Bhandari, Apurva (Department of Civil Engineering, Indian Institute of Engineering Science and Technology (IIEST) Shibpur) ;
  • Datta, Gaurav (Department of Civil Engineering, Indian Institute of Engineering Science and Technology (IIEST) Shibpur) ;
  • Bhattacharjya, Soumya (Department of Civil Engineering, Indian Institute of Engineering Science and Technology (IIEST) Shibpur)
  • Received : 2017.09.12
  • Accepted : 2018.05.02
  • Published : 2018.09.25
⟨ Previous Next ⟩

Abstract

This paper deals with wind fragility and risk analysis of high rise buildings subjected to stochastic wind load. Conventionally, such problems are dealt in full Monte Carlo Simulation framework, which requires extensive computational time. Thus, to make the procedure computationally efficient, application of metamodelling technique in fragility analysis is explored in the present study. Since, accuracy by the conventional Least Squares Method (LSM) based metamodelling is often challenged, an efficient Moving Least Squares Method based adaptive metamodelling technique is proposed for wind fragility analysis. In doing so, artificial time history of wind load is generated by three wind field models: i.e., a simple one based on alongwind component of wind speed; a more detailed one considering coherence and wind directionality effect, and a third one considering nonstationary effect of mean wind. The results show that the proposed approach is more accurate than the conventional LSM based metamodelling approach when compared to full simulation approach as reference. At the same time, the proposed approach drastically reduces computational time in comparison to the full simulation approach. The results by the three wind field models are compared. The importance of non-linear structural analysis in fragility evaluation has been also demonstrated.

Keywords

References

  1. Ambrosini, R.D., Riera, J.D. and Danesi, R.F. (2002), "Analysis of structure subjected to random wind loading by simulation in the frequency domain", Probab. Eng. Mech., 17, 233-239. https://doi.org/10.1016/S0266-8920(02)00008-5
  2. ANSI A58.1 (1982), Design Loads For Buildings And Other Structures, Minimum, American National Standards Institute.
  3. Bhattacharjya, S. and Chakraborty, S. (2011), "Robust optimization of structures subjected to stochastic earthquake with limited information on system parameter uncertainty", Eng. Optimiz., 43(12), 1311-1330. https://doi.org/10.1080/0305215X.2011.554545
  4. Brigham, E.O. (1988), The Fast Fourier Transform and its Applications, Englewood Cliffs, NJ: Prentice-Hall.
  5. Chen, J., Hui, M.C.H. and Xu, Y.L. (2007), "A comparative study of stationary and non-stationary wind models using field measurements", Bound. - Lay. Meteorol., 122, 105-121. https://doi.org/10.1007/s10546-006-9085-1
  6. Chen, J., Ma, J. and Wu, M. (2012), "Unified Non-stationary mathematical model for near-ground surface strong winds", Proceedings of the World Congress on Advances in Civil, Environmental, and Materials Research (ACEM' 12), Seoul, Korea.
  7. Chen, L. and Letchford, C.W. (2004), "A deterministic-stochastic hybrid model of downbursts and its impact on a cantilevered structure", Eng. Struct., 26, 619-629. https://doi.org/10.1016/j.engstruct.2003.12.009
  8. Das, N.K. (1988), "Safety analysis of steel building frame under dynamic load", Ph.D. Dissertation, Texas Tech University, Texas USA.
  9. Ellingwood, B.R., Galambos, T.V., MacGregor, J.G. and Cornell, C.A. (1980), Development of probability based load criterion for American National Standard A.58, NBS Special Publication 577, US Department of Commerce, Washington DC.
  10. Fang, K.T., Lu, X., Tang, Y. and Yin, J.X. (2004), "Constructions of uniform designs by using resolvable packings and coverings", Discrete Math., 274, 25-40. https://doi.org/10.1016/S0012-365X(03)00100-6
  11. FEMA 356 (2000), Prestandard and commentary for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency Washington, D.C.
  12. Ghosh, S., Mitra, S., Ghosh, S. and Chakraborty, S. (2016), "Seismic reliability analysis in the framework of metamodelling based Monte Carlo Simulation, modeling and simulation techniques in structural engineering", IGI Global, 192, August.
  13. Goswami, S., Ghosh, S. and Chakaraborty, S (2016), "Reliability Analysis of Structures by iterative improved response surface method", Struct. Saf., 60, 56-66. https://doi.org/10.1016/j.strusafe.2016.02.002
  14. Gupta, S. and Manohar, C.S. (2004), "An improved response surface method for the determination of failure probability and importance measures", Struct. Saf., 26,123-139. https://doi.org/10.1016/S0167-4730(03)00021-3
  15. Gur, S. and Chaudhuri, S.R. (2014), "Vulnerability assessment of container cranes under stochastic wind loading", Struct. Infrastruct. Eng., 12, 1511-1530.
  16. Harris, R.I. (1990), "Some further thoughts on the spectrum of gustiness in strong winds", J. Wind Eng. Ind. Aerod., 33, 461-477. https://doi.org/10.1016/0167-6105(90)90001-S
  17. Hjelmfelt, M.R. (1988), "Structure and life circle of microburst outflows observed in Colorado", J. Appl. Meteorol., 27, 900-927. https://doi.org/10.1175/1520-0450(1988)027<0900:SALCOM>2.0.CO;2
  18. Holmes, J.D. and Oliver, S.E. (2000), "An empirical model of a downburst", Eng. Struct., 22, 1167-1172. https://doi.org/10.1016/S0141-0296(99)00058-9
  19. IS: 456, (2000), Plain and reinforced concrete - Code of practice, Bureau of Indian Standards: India.
  20. IS: 875(Part 3)-2015 (2015), Indian Standard Code of practice for design Loads (other than Earthquake) for Building and structures, Part 3: Wind Loads, Bureau of Indian Standards:India.
  21. Kaimal, J.C., Wyngaard, J.C., Izumi, Y. and Cote, O.R. (1972), "Spectral Characteristics of surface layer turbulence", J. Roy. Meteorol. Soc., 98, 563-589. https://doi.org/10.1002/qj.49709841707
  22. Kang, S., Koh, H. and Choo, J.F. (2010), "An efficient response surface Method using moving least squares approximations for structural reliability analysis", Probab. Eng. Mech., 25, 365-371. https://doi.org/10.1016/j.probengmech.2010.04.002
  23. Kim, C., Choi, K.K. and Wang, S.(2005), "Efficient response surface modeling by using moving least-square method and sensitivity", AIAA J., 43(11), 2404-2411. https://doi.org/10.2514/1.12366
  24. Konthesingha, K.M.C., Stewart, M.G., Paraic, R., Ginger, J. and Henderson, D. (2015), "Reliability based vulnerability modelling of metal-clad industrial buildings to extreme wind loading for cyclonic regions", J. Wind Eng. Ind. Aerod., 147, 176-185. https://doi.org/10.1016/j.jweia.2015.10.002
  25. Kwon, D.K. and Kareem, A. (2009), "Gust-front factor: New framework for wind load effects on structures", J. Struct. Eng., 135 (6), 717-732. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:6(717)
  26. Lu, Q., Xiao, Z., Ji, J., Zheng, J. and Shang, Y. (2017), "Moving least square method for reliability assessment of rock tunnel excavation considering ground-support interactions", Comput. Geotech., 84, 88-100. https://doi.org/10.1016/j.compgeo.2016.11.019
  27. Mander, J.B. and Priestley, M.J.N. (1988), "Theoretical stressstrain model for confined concrete", J. Struct. Eng., 114(8), 1804-1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  28. Marra, A.S. and Luca, C. (2011), "A Monte Carlo based method for the dynamic fragility analysis of tall buildings under turbulent wind loading", Eng. Struct., 33, 410-420. https://doi.org/10.1016/j.engstruct.2010.10.024
  29. MATLAB, The MathWorks, Inc., Natick, Massachusetts, United States.
  30. Morgan, E.C., Matthew, L., Vogel, R.M. and Laurie, G.B. (2011), "Probability distributions for offshore wind speeds", Energ. Convers. Manage., 52, 15-26. https://doi.org/10.1016/j.enconman.2010.06.015
  31. Myers, R.H. and Montgomery, D.C. (1995), Response Surface Methodology: Process and Product in Optimization Using Designed Experiments, John Wiley & Sons, Inc. New York, NY, USA.
  32. Peng, Y., Wang, Z. and Ai, X. (2018), "Wind-induced fragility assessment of urban trees with structural uncertainties", Wind Struct., 26(1), 45-56. https://doi.org/10.12989/WAS.2018.26.1.045
  33. Popescu, R., Deodatis, G. and Prevost, J.H. (1998), "Simulation of homogeneous non-Gaussian stochastic vector fields", Probab. Eng. Mech., 13(1), 1-13. https://doi.org/10.1016/S0266-8920(97)00001-5
  34. Repetto, M.P. and Solari, G. (2004), "Directional wind-induced fatigue of slender vertical structures", J. Struct. Eng., 130(7), 1032-1040. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:7(1032)
  35. Sarkar, A., Gugliani, G. and Deep, S. (2017), "Weibull model for wind speed data analysis of different locations in India", J. Civil Eng. - KSCE, 1-13.
  36. Sarkar, A., Sindh, S. and Mitra, D. (2011), "Wind climate modelling using weibull and extreme value distribution", Int. J. Eng. Sci. Technol., 3(5), 100-106.
  37. Shinozuka, M. and Jan, C.M. (1972), "Digital Simulation of Random Processes and Its Applications," Journal of Sound and Vibration, 25,111-128. https://doi.org/10.1016/0022-460X(72)90600-1
  38. Simiu, E. and Scanlan, R.H. (1986), Wind Effects on Structures: An Introduction to Wind Engineering, John Wiley & Sons, Hoboken.
  39. Spagnoli, A. and Montanari, L. (2013), "Along-wind simplified analysis of wind turbines through a coupled blade-tower model", Wind Struct., 17(6), 589-607. https://doi.org/10.12989/was.2013.17.6.589
  40. Song, C.Y., Lee, J. and Choung, J.M. (2011), "Reliability-based design optimization of an FPSO riser support using moving least square response surface meta models", Ocean Eng., 38, 304-318. https://doi.org/10.1016/j.oceaneng.2010.11.001
  41. Spanos, P.T.D. (1980), "Numerical solutions of a van der pol oscillator", Comput. Math. Appl., 6(1), 135-145. https://doi.org/10.1016/0898-1221(80)90065-6
  42. SAP 2000NL, Computer and Structures, Inc. (CSI) (2009).
  43. Taflanidis, A.A. and Cheung, S.H. (2012), "Stochastic sampling using moving least squares response surface methodologies", Probab. Eng. Mech., 28, 216- 224. https://doi.org/10.1016/j.probengmech.2011.07.003
  44. Taflanidis, A.A., Jia, G. and Gidaris, I. (2016), "Natural hazard probabilistic risk assessment through surrogate modeling", Multi-hazard Approaches to Civil Infrastructure Engineering, Springer International Publishing, 59-86.
  45. Venanzi, I., Materazzi, A.L. and Ierimonti, L. (2015), "Robust and reliable optimization of wind-excited cable-stayed masts", J. Wind Eng. Ind. Aerod., 147, 368-379. https://doi.org/10.1016/j.jweia.2015.07.011
  46. Zhang, L., Lia, J. and Peng, Y.P. (2008), "Dynamic response and reliability analysis of tall buildings subject to wind loading", J. Wind Eng. Ind. Aerod., 96(1), 25-40. https://doi.org/10.1016/j.jweia.2007.03.001