Time-Domain Dynamic Drift Optimization of Tall Buildings Subject to Stochastic Excitation

Chapter

Abstract

Wind-resistant design of tall buildings has been traditionally treated using the equivalent static load approach. In order to account for the uncertainties in random wind excitation, it is necessary to develop a comprehensive and reliable dynamic optimisation technique in the time domain. The optimal lateral stiffness design problem of wind-excited tall buildings consists of (1) identifying the critical dynamic drift response in the time domain and (2) searching for the optimal distribution of element stiffness of the building subject to multiple drift design constraints. The critical time-history drift constraints of a wind-excited building are first treated by the worst-case formulation and then explicitly expressed in terms of element sizing variables using the principle of virtual work. The extreme value distribution and the Gaussian assumption are employed to formulate and simplify the probabilistic drift constraints, which are explicitly considered in the dynamic optimisation problem. The system reliability associated with the inter-story drift is estimated approximately by the bound approach to ensure that the most cost-efficient solution also attains an acceptable reliability level. A full-scale 45-story building example under wind tunnel derived time history wind loading is presented to illustrate the effectiveness and practicality of the reliability-based dynamic optimisation technique.

References

  1. AISC. (2001). Manual of steel construction: Load and resistance factor design (3rd ed.). Chicago, IL: American Institute of Steel Construction (AISC).Google Scholar
  2. Architectural Institute of Japan Recommendations. (2005). Guide for numerical prediction of wind loads on buildings. Japan: Tokyo.Google Scholar
  3. Arora, J. S., & Wang, Q. (2005). Review of formulations for structural and mechanical system optimization. Structural and Multidisciplinary Optimization, 30, 251–272.Google Scholar
  4. ASCE. (1999). Wind tunnel studies of buildings and structures. ASCE manuals and reports on engineering practice (Vol. 67). New York: American Society of Civil Engineers.Google Scholar
  5. Chan, C. M. (1997). How to optimize tall steel building frameworks. In J. Arora (Ed.), Guide to Structural Optimization, ASCE Manuals and Report on Engineering Practice, No. 90, ASCE (pp. 165–195).Google Scholar
  6. Chan, C. M. (2001). Optimal lateral stiffness design of tall buildings of mixed steel and concrete construction. Journal of Structural Design of Tall Buildings, 10(3), 155–177.CrossRefGoogle Scholar
  7. Chan, C. M., & Chui, J. K. L. (2006). Wind-induced response and serviceability design optimization of tall steel buildings. Engineering Structures, 28(4), 503–513.CrossRefGoogle Scholar
  8. Chan, C. M., Chui, J. K. L., & Huang, M. F. (2009a). Integrated aerodynamic load determination and stiffness optimization of tall buildings. Journal of Structural Design of Tall and Special Buildings, 18, 59–80.CrossRefGoogle Scholar
  9. Chan, C. M., Huang, M. F., & Kwok, K. C. S. (2009b). Stiffness optimization for wind-induced dynamic serviceability design of tall buildings. Journal of Structural Engineering, ASCE, 135(8), 985–997.CrossRefGoogle Scholar
  10. Chen, X., & Huang, G. (2009). Evaluation of peak resultant response for wind-excited tall buildings. Engineering Structures, 31, 858–868.CrossRefGoogle Scholar
  11. Chen, X., & Kareem, A. (2005a). Dynamic wind effects on buildings with 3D coupled Modes: Application of high frequency force balance measurements. Journal of Engineering Mechanics, 131, 1115–1125.CrossRefGoogle Scholar
  12. Chen, X., & Kareem, A. (2005b). Coupled dynamic analysis and equivalent static wind loads on buildings with three-dimensional modes. Journal of Structural Engineering, 131, 1071–1082.CrossRefGoogle Scholar
  13. Chen, J. J., Duan, B. Y., & Zen, Y. G. (1997). Study on dynamic reliability analysis of the structures with multidegree-of-freedom system. Computer and Structures, 62(5), 877–881.CrossRefMATHGoogle Scholar
  14. Cheng, P. W., van Bussel, G. J. W., van Kuik, G. A. M., & Vugts, J. H. (2003). Reliability-based design methods to determine the extreme response distribution of offshore wind turbines. Wind Energy, 6, 1–22.CrossRefGoogle Scholar
  15. Choi, W. S., & Park, G. J. (2002). Structural optimization using equivalent static loads at all time intervals. Computer Methods in Applied Mechanics and Engineering, 191, 2077–2094.MATHGoogle Scholar
  16. Chopra, A. K. (2000). Dynamics of structures: Theory and applications to earthquake engineering. New Jersey: Prentice-Hall.Google Scholar
  17. Clough, R. W., & Penzien, J. (1993). Dynamics of structures. New York: McGraw-Hill.MATHGoogle Scholar
  18. Davenport, A. G. (1964). Note on the distribution of the largest value of a random function with application to gust loading. Proceedings, Intstitution of Civil Engineering, 28, 187–196.CrossRefGoogle Scholar
  19. Davenport, A. G. (1967). Gust loading factors. Journal of Structural Engineering ASCE, 93, 11–34.Google Scholar
  20. Davenport, A. G. (1995). How can we simplify and generalize wind loading? Journal of Wind Engineering and Industrial Aerodynamics, 54(55), 657–669.CrossRefGoogle Scholar
  21. Fu, J. Y., Wu, J. R., Xu, A., Li, Q. S., & Xiao, Y. Q. (2012). Full-scale measurements ofwind effects on Guangzhou West Tower. Engineering Structures, 35, 120–139.CrossRefGoogle Scholar
  22. Grierson, D. E., Gong, Y., & Xu, L. (2006). Optimal performance-based seismic design using modal pushover analysis. Journal of Earthquake Engineering, 10(1), 73–96.CrossRefGoogle Scholar
  23. Gurley, K., & Kareem, A. (1998). Simulation of non-Gaussian processes. In Proceedings of the 3rd International Conference on Computational Stochastic Mechanics (pp. 11–20). Balkema, Rotterdam, The Netherlands.Google Scholar
  24. Holmes, J. D. (2002). Effective static load distributions in wind engineering. Journal of Wind Engineering and Industrial Aerodynamics, 90, 91–109.CrossRefGoogle Scholar
  25. Hsieh, C. C., & Arora, J. S. (1985). A hybrid formulation for treatment of point-wise state variable constraints in dynamic response optimization. Computer Methods in Applied Mechanics and Engineering, 48, 171–189.CrossRefMATHGoogle Scholar
  26. Hsieh, C. C., & Arora, J. S. (1986). Algorithms for point-wise state variable constraints in structural optimization. Computer and Structures, 22(3), 225–238.CrossRefMATHGoogle Scholar
  27. Huang, M. F., Lou, W., Chan, C. M., Lin, N., & Pan, X. (2013). Peak distributions and peak factors of wind-induced pressure processes on tall building. Journal of Engineering Mechanics,. doi: 10.1061/(ASCE)EM.1943-7889.0000616.CrossRefGoogle Scholar
  28. Kang, B. S., Choi, W. S., & Park, G. J. (2001). Structural optimization under equivalent static loads transformed from dynamic loads based on displacement. Computer and Structure, 79, 145–154.CrossRefGoogle Scholar
  29. Kang, B. S., Park, G. J., & Arora, J. S. (2006). A review of optimization of structures subjected to transient loads. Structural and Multidisciplinary Optimization, 31, 81–95.MathSciNetCrossRefMATHGoogle Scholar
  30. Kareem, A. (1985). Lateral-torsional motion of tall buildings to wind loads. Journal of Structural Engineering, 111(11), 2479–2496.CrossRefGoogle Scholar
  31. Kijewski-Correa, T., Kilpatrick, J., Kareem, A., Kwon, D., Bashor, R., Kochly, M., et al. (2006). Validating wind-induced response of tall buildings: Synopsis of the chicago full-scale monitoring program. Journal of Structural Engineering, 132(10), 1509–1523.CrossRefGoogle Scholar
  32. Kirsch, U. (1993). Structural optimization: Fundamentals and applications. Berlin: Springer-Verlag.CrossRefGoogle Scholar
  33. Li, Q. S., Wu, J. R., Liang, S. G., et al. (2004). Full-scale measurements and numerical evaluation of wind-induced vibration of a 63-story reinforced concrete super tall building. Engineering Structures, 26, 1779–1794.CrossRefGoogle Scholar
  34. Lin, W., Huang, M. F., Kwok, K. C. S., & Lou, W. J. (2012). Full-scale measurement and comfort evaluation of a high-rise building in Hong Kong during typhoon. Journal of Shenzhen University Science and Engineering, 29(1), 45–50. (in Chinese).CrossRefGoogle Scholar
  35. Ma, J., Gao, W., Wriggers, P., Chen, J., & Sahraee, S. (2011). Structural dynamic optimal design based on dynamic reliability. Engineering Structures, 33, 468–476.CrossRefGoogle Scholar
  36. Melbourne, W. H. (1980). Comparison of measurements on the CAARC standard tall building model in simulated model wind flows. Journal of Wind Engineering and Industrial Aerodynamics, 6, 73–88.CrossRefGoogle Scholar
  37. Newland, D. E. (1984). Random vibration and spectral analysis. UK: Longman Scientific & Technical.MATHGoogle Scholar
  38. Piccardo, G., & Solari, G. (2000). Three-dimensional wind-excited response of slender structures: Closed-form solution. Journal of Structural Engineering, 126(8), 936–943.CrossRefGoogle Scholar
  39. Spence, S. M. J., & Gioffrè, M. (2011). Efficient algorithms for the reliability optimization of tall buildings. Journal of Wind Engineering and Industrial Aerodynamics, 99, 691–699.CrossRefGoogle Scholar
  40. Tamura, T. (2008). Towards practical use of LES in wind engineering. Journal of Wind Engineering and Industrial Aerodynamics, 96(10–11), 1451–1471.CrossRefGoogle Scholar
  41. Tse, T., Kwok, K. C. S., Hitchcock, P. A., Samali, B., & Huang, M. F. (2007). Vibration control of a wind-excited benchmark tall building with complex lateral-torsional modes of vibration. Advances in Structural Engineering, 10(3), 283–304.CrossRefGoogle Scholar
  42. Yeo, D., & Simiu, E. (2011). High-rise reinforced concrete structures: Database-assisted design for wind. Journal of Structural Engineering, 137(11), 1340–1349.CrossRefGoogle Scholar
  43. Zou, X. K., & Chan, C. M. (2005). An optimal resizing technique for seismic drift design of concrete buildings subjected to response spectrum and time history loadings. Computers & Structures, 83(19–20), 1689–1704.CrossRefGoogle Scholar

Copyright information

© Science Press and Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.Zhejiang UniversityHangzhouChina

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