DOI QR코드

DOI QR Code

Estimation of peak wind response of building using regression analysis

  • Received : 2018.05.05
  • Accepted : 2018.08.29
  • Published : 2019.08.25

Abstract

The maximum along-wind displacement of a considerable amount of building under simulated wind loads is computed with the aim to produce a simple prediction model using multiple regression analysis with variables transformation. The Shinozuka and Newmark methods are used to simulate the turbulent wind and to calculate the dynamic response, respectively. In order to evaluate the prediction performance of the regression model with longer degree of determination, two complex structural models were analyzed dynamically. In addition, the prediction model proposed is used to estimate and compare the maximum response of two test buildings studied with wind loads by other authors. Finally, it was proved that the prediction model is reliable to estimate the maximum displacements of structures subjected to the wind loads.

Keywords

Acknowledgement

Supported by : El Consejo Nacional de Ciencia y Tecnologia

References

  1. American Society of Civil Engineers ASCE (2006), Minimum Design Loads for Buildings and Other Structures, USA.
  2. Bauer, D.J., Curran, P.J. and Thurstone, L.L. (2005), "Probing interactions in fixed and multilevel regression: Inferential and graphical techniques", Multivariate Behav. Res., 40(3), 373-400. https://doi.org/10.1207/s15327906mbr4003_5.
  3. Bojorquez, E., Payan-Serrano, O., Reyes-Salazar, A. and Pozos, A. (2017), "Comparison of spectral density models to simulate wind records", KSCE J. Civ. Eng., 21(4), 1299-1306. https://doi.org/10.1007/s12205-016-1460-y.
  4. Box, G.E.P., and Cox, D.R. (1964), "An analysis of transformations", J. R. Stat. Soc. Series B, 211-252. https://doi.org/10.1111/j.2517-6161.1964.tb00553.x.
  5. Chen, X. and Kareem, A. (2006), "Discussion of equivalent static wind loads on buildings: New Model", J. Struct. Eng., 132(6), 1425-1435. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:6(1006) .
  6. Choi, C.K. and Noh, H.C. (1999), "Simulation of wind process by spectral representation method and application to cooling tower shell", Wind Struct., 2(2), 105-117. https://doi.org/10.12989/was.1999.2.2.105.
  7. Chopra, A.K. (2007), Dynamics of Structures : Theory and Applications to Earthquake Engineering, Pearson Education.
  8. Cohen, J., Cohen, P.C., West, S.G. and Aiken, L.S. (2013), Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences, Routledge.
  9. Counihan, J. (1975), "Adiabatic atmospheric boundary layers: A review and analysis of data from the period 1880-1972", Atmosp. Environ., 9(10), 871-905. https://doi.org/10.1016/0004-6981(75)90088-8.
  10. Davenport, A.G. (1961), "The spectrum of horizontal gustiness near the ground in high winds", Q. J. Roy. Meteor. Soc., 87(372), 194-211. https://doi.org/10.1002/qj.49708737208.
  11. Davenport, A.G. (1963), "The relationship of wind structure to wind loading", Proceedings of a Conference on Wind Effects on Buildings and Structures, Teddington, England.
  12. Davenport, A.G. (1967), "Gust loading factors", J. Struct. Div.-ASCE, 93(3), 11-34. https://doi.org/10.1061/JSDEAG.0001692
  13. Davenport, A.G. and King, J.P.C. (1984), "Dynamic wind forces on long span bridges using equivalent static loads", Proceedings of the International Association for Bridge and Structural Engineering, 12th Congress, Vancouver, Canada.
  14. Ding, Q., Zhu, L. and Xiang, H. (2006), "Simulation of stationary Gaussian stochastic wind velocity field", Wind Struct., 9(3), 231-243. https://doi.org/10.12989/was.2006.9.3.231.
  15. Eurocode (2005), Eurocode 1: Actions on structures -Part 1-4: General actions -Wind actions, European Committee for Standardization, 1-148.
  16. Federal Emergency Management agency (2000), State of the Art Report on Systems Performance of Steel Moment Frames Subject to Earthquake Ground Shaking, Rep. No. FEMA-355C, Washington, DC.
  17. Guo, Z., Ge, Y., Zhao, L. and Shao, Y. (2013), "Linear regression analysis of buffeting response under skew wind", Wind Struct., 16(3), 279-300. https://doi.org/10.12989/was.2013.16.3.279.
  18. Harris, R.I. (1990), "Some further thoughts on the spectrum of gustiness in strong winds", J. Wind Eng. Ind. Aerod., 33(3), 461-477. https://doi.org/10.1016/0167-6105(90)90001-S.
  19. Holmes, J.D. (2015), Wind Loading of Structures. CRC press.
  20. Huang, G. and Chen, X. (2007), "Wind load effects and equivalent static wind loads of tall buildings based on synchronous pressure measurements", Eng. Struct., 29(10), 2641-2653. https://doi.org/10.1016/j.engstruct.2007.01.011.
  21. Huang, G., Chen, X., Liao, H. and Li, M. (2013), "Predicting tall building response to nonstationary winds using multiple wind speed samples". Wind. Struct., 17(2), 227-244. https://doi.org/10.12989/was.2013.17.2.227.
  22. von Karman, T. (1948), "Progress in the statistical theory of turbulence", Proceedings of the National Academy of Sciences of the United States of America, 34(11), 530-539. https://doi.org/10.1073/pnas.34.11.530
  23. Lignos, D.G. and Krawinkler, H. (2011), "Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading", J. Struct. Eng., 137(11), 1291-1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376.
  24. Lungu, D. and van Gelder, P. (1997), "Characteristics of wind turbulence with applications to wind codes", Proceedings of the 2nd European and African Conference on Wind Engineering, Genova, Italy, June.
  25. Mackey, S. (1970), "Gust factors", Proceedings of USA-Japan Res. Seminar on Wind Loads Struct.
  26. Materazzi, A.L. and Venanzi, I. (2007), "A simplified approach for the wind response analysis of cable-stayed masts", J. Wind Eng. Ind. Aerod., 95(9-11), 1272-1288. https://doi.org/10.1016/j.jweia.2007.02.008.
  27. McKenna, F. (2011) "OpenSees: A framework for earthquake engineering simulation", Comput. Sci. Eng., 13(2011), 58-66. https://doi.org/10.1109/MCSE.2011.66
  28. Newmark, N.M. (1959), "A Method of Computation for Structural Dynamics", J. Eng. Mech., 85(3), 67-94.
  29. Payan-Serrano, O., Bojorquez, E., Bojorquez, J., Chavez, R., Reyes-Salazar, A., Barraza, M. and Corona, E. (2017), "Prediction of Maximum Story Drift of MDOF Structures under Simulated Wind Loads Using Artificial Neural Networks", Appl. Sci., 7(6), 563. https://doi.org/10.3390/app7060563.
  30. Repetto, M. P. and Solari, G. (2004), "Equivalent static wind actions on vertical structures", J. Wind Eng. Ind. Aerodyn., 92(5), 335-357. https://doi.org/10.1016/j.jweia.2004.01.002.
  31. Shinozuka, M. and Jan, C.M. (1972), "Digital simulation of random processes and its applications", J. Sound Vib., 25(1), 111-128. https://doi.org/10.1016/0022-460X(72)90600-1.
  32. Solari, G. (1982), "Alongwind response estimation: closed form solution", J. Struct. Div.-ASCE, 108(1), 225-244. https://doi.org/10.1061/JSDEAG.0005861
  33. Veers, P.S. (1987), "Three-dimensional wind simulation", J. Geophys. Res., 92(1987), 2289. https://doi.org/10.1029/JA092iA03p02289
  34. Venanzi, I., Salciarini, D. and Tamagnini, C. (2014), "The effect of soil-foundation-structure interaction on the wind-induced response of tall buildings", Eng. Struct., 79(2014), 117-130. https://doi.org/10.1016/j.engstruct.2014.08.002.
  35. Xu, Y.L. (2013), Wind Effects on Cable-Supported Bridges, Wiley.
  36. Zhou, Y., Kareem, A. and Gu, M. (2000), "Equivalent static buffeting loads on structures", J. Struct. Eng., 126(8), 989-992. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(989).