Estimation of Nonstationary Crosswind Response of Tall Buildings with Nonlinear Aeroelastic Effect
Publication: Journal of Engineering Mechanics
Volume 144, Issue 7
Abstract
This study addresses analysis of the crosswind response of tall buildings under nonstationary wind excitations. The wind load under nonstationary wind excitation was quantified using the force parameters under stationary wind, but the effect of the time-varying mean wind speed was considered in a quasi-stationary manner. For buildings without consideration of nonlinear aerodynamic damping, the evolutionary spectral analysis approach and statistical moment equation approach are presented, which provide analytical solutions of time-varying response standard derivation (STD), extreme response, and fatigue damage. For buildings with consideration of nonlinear aerodynamic damping, the governing equations of statistical moments of the building motion including time-varying STD, or variance/covariance, and kurtosis of response were established and solved using the non-Gaussian moment closure technique. The higher-order moments involved were estimated from a kurtosis-based translation process model. Narrowband response characteristics were applied to simplify the non-Gaussian closure approach. The nonstationary extreme response and fatigue damage were further estimated from time-varying STD and kurtosis of response. The effectiveness of the analysis framework was examined through comparison with a response time history simulation. The characteristics of the crosswind response under nonstationary excitations are also discussed.
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Acknowledgments
The support for this work provided in part by NSF Grant Nos. CMMI-1400224 and CMMI-1536108 is greatly acknowledged.
References
AIJ (Architectural Institute of Japan). 2004. AIJ recommendations for load on buildings. Tokyo: AIJ.
Basu, R. I., and B. J. Vickery. 1983. “Across-wind vibrations of structures of circular cross-section. Part II: Development of a mathematical model for full-scale application.” J. Wind Eng. Ind. Aerodyn. 12 (1): 75–97. https://doi.org/10.1016/0167-6105(83)90081-8.
Boggs, D. W. 1992. “Validation of the aerodynamic model method.” J. Wind Eng. Ind. Aerodyn. 42 (1–3): 1011–1022. https://doi.org/10.1016/0167-6105(92)90107-L.
Caughey, T. K. 1964. “On the response of a class of nonlinear oscillators to stochastic excitation.” In Vol. 148 of Proc., Colloques Int. du Centre National de la Recherche Scientifique, 393–402. Marseille, France.
Chen, L., and C. W. Letchford. 2004. “Parametric study on the along-wind response of the CAARC building to downbursts in the time domain.” J. Wind Eng. Ind. Aerodyn. 92 (9): 703–724. https://doi.org/10.1016/j.jweia.2004.03.001.
Chen, X. 2008. “Analysis of alongwind tall building response to transient nonstationary winds.” J. Struct. Eng. 134 (5): 782–791. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:5(782).
Chen, X. 2013. “Estimation of stochastic crosswind response of wind-excited tall buildings with nonlinear aerodynamic damping.” Eng. Struct. 56 (Nov): 766–778. https://doi.org/10.1016/j.engstruct.2013.05.044.
Chen, X. 2014a. “Analysis of crosswind fatigue of wind-excited structures with nonlinear aerodynamic damping.” Eng. Struct. 74 (Sep): 145–156. https://doi.org/10.1016/j.engstruct.2014.04.049.
Chen, X. 2014b. “Analysis of multimode coupled buffeting response of long-span bridges to nonstationary winds with force parameters from stationary wind.” J. Struct. Eng. 141 (4): 04014131. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001078.
Chen, X. 2014c. “Extreme value distribution and peak factor of crosswind response of flexible structures with nonlinear aeroelastic effect.” J. Struct. Eng. 140 (12): 04014091. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001017.
Cheng, C. M., P. C. Lu, and M. S. Tsai. 2002. “Acrosswind aerodynamic damping of isolated square-shaped buildings.” J. Wind Eng. Ind. Aerodyn. 90 (12–15): 1743–1756. https://doi.org/10.1016/S0167-6105(02)00284-2.
Davenport, A. G. 1964. “Note on the distribution of the largest value of a random function with application to gust loading.” Proc. Inst. Civ. Eng. 28 (2): 187–196. https://doi.org/10.1680/iicep.1964.10112.
Holmes, J. D., G. Forristall, and J. McConochie. 2005. “Dynamic response of structures to thunderstorm winds.” In Proc., 10th Americas Conf. on Wind Engineering (10ACWE). Baton Rouge, LA: Louisiana State Univ.
Huang, G., X. Chen, H. Liao, and M. Li. 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.
Kareem, A. 1982. “Across-wind response of buildings.” J. Struct. Div. 107 (ST4): 701–706.
Kawai, H. 1992. “Vortex induced vibration of tall buildings.” J. Wind Eng. Ind. Aerodyn. 41 (1–3): 117–128. https://doi.org/10.1016/0167-6105(92)90399-U.
Kwok, K. C. S. 1982. “Cross-wind response of tall buildings.” Eng. Struct. 4 (4): 256–262. https://doi.org/10.1016/0141-0296(82)90031-1.
Kwon, D. K., and A. Kareem. 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).
Lutes, L. D., and S. Sarkani. 2004. Random vibrations: Analysis of structural and mechanical systems. Burlington, MA: Elsevier Butterworth-Heinemann.
Ohkuma, T., H. Mukai, and M. Yamamoto. 1994. “Time history analysis for aerodynamic unstable vibration of two-dimensional rectangular model.” [In Japanese.] In Proc., 13th National Symp. on Wind Engineering, Japan Association for Wind Engineering, 347–352. Tokyo: Japan Association for Wind Engineering.
Repetto, M. P., and G. Solari. 2006. “Bimodal alongwind fatigue of structures.” J. Struct. Eng. 132 (6): 899–908. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:6(899).
Roberts, J. B., and P. D. Spanos. 2003. Random vibration and statistical linearization. Mineola, NY: Dover Publications.
Shinozuka, M., and C. M. Jan. 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.
Solari, G. 2016. “Thunderstorm response spectrum technique: Theory and applications.” Eng. Struct. 108 (Feb): 28–46. https://doi.org/10.1016/j.engstruct.2015.11.012.
Solari, G., P. De Gaetano, and M. P. Repetto. 2015. “Thunderstorm response spectrum: Fundamentals and case study.” J. Wind Eng. Ind. Aerodyn. 143 (Aug): 62–77. https://doi.org/10.1016/j.jweia.2015.04.009.
Soong, T. T. 1973. Random differential equations in science and engineering. New York: Academic Press.
Spanos, P. D., and L. D. Lutes. 1980. “Probability of response to evolutionary process.” J. Eng. Mech. Div. 106 (2): 213–224.
Tanaka, H., Y. Tamura, K. Ohtake, M. Nakai, and Y. C. Kim. 2012. “Experimental investigation of aerodynamic forces and wind pressures acting on tall buildings with various unconventional configurations.” J. Wind Eng. Ind. Aerodyn. 107–108 (Aug–Sep): 179–191. https://doi.org/10.1016/j.jweia.2012.04.014.
Vanmarcke, E. H. 1975. “On the distribution of the first-passage time for normal stationary random processes.” J. Appl. Mech. 42 (1): 215–220. https://doi.org/10.1115/1.3423521.
Vickery, B. J., and R. I. Basu. 1983. “Across-wind vibrations of structures of circular cross-section. Part I: Development of a mathematical model for two-dimensional conditions.” J. Wind Eng. Ind. Aerodyn. 12 (1): 49–73. https://doi.org/10.1016/0167-6105(83)90080-6.
Vickery, B. J., and A. Steckley. 1993. “Aerodynamic damping and vortex excitation on an oscillating prism in turbulent shear flow.” J. Wind Eng. Ind. Aerodyn. 49 (1): 121–140. https://doi.org/10.1016/0167-6105(93)90009-D.
Watanabe, Y., N. Isyumov, and A. G. Davenport. 1997. “Empirical aerodynamic damping function for tall buildings.” J. Wind Eng. Ind. Aerodyn. 72 (Nov–Dec): 313–321. https://doi.org/10.1016/S0167-6105(97)00260-2.
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©2018 American Society of Civil Engineers.
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Received: Jun 12, 2017
Accepted: Jan 8, 2018
Published online: Apr 30, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 30, 2018
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