Integrated wind load analysis and stiffness optimization of tall buildings with 3D modes

Abstract Recent trends towards constructing taller buildings with irregular geometric shapes imply that these structures are potentially more responsive to wind excitation. The wind-induced motion of modern tall buildings is generally found to involve with significant coupled lateral and torsional effects, which are attributed to the asymmetric three-dimensional (3D) mode shapes of these buildings. The 3D coupled modes also complicate the use of high frequency force balance (HFFB) technique in wind tunnel testing for predicting the wind-induced loads and effects on tall buildings. This paper firstly presents the analysis of equivalent static wind loads (ESWLs) on tall buildings with 3D modes provided that the wind tunnel derived aerodynamic wind load spectra are given. Then an integrated wind load updating analysis and optimal stiffness design technique is developed for lateral drift design of tall asymmetric buildings involving coupled lateral–torsional motions. The results of a practical 40-storey building example with significant swaying and torsional effects are presented. Not only is the technique able to produce the most cost efficient element stiffness distribution of the structure satisfying multiple serviceability wind drift design criteria, but a potential benefit of reducing the wind-induced loads can also be achieved by the stiffness design optimization method.

[1]  Ross B. Corotis,et al.  Wind‐Induced Response of Structurally Asymmetric High‐Rise Buildings , 1992 .

[2]  L. Cochran,et al.  Sources of Torsional Wind Loading on Tall Buildings: Lessons from the Wind Tunnel , 2000 .

[3]  Ahsan Kareem,et al.  Gust loading factor: past, present and future , 2003 .

[4]  Chun Man Chan Optimal Stiffness Design to Limit Static and Dynamic Wind Responses of Tall Steel Buildings , 1998 .

[5]  Chun Man Chan,et al.  Wind-induced response and serviceability design optimization of tall steel buildings , 2006 .

[6]  Ahsan Kareem,et al.  Coupled Dynamic Analysis and Equivalent Static Wind Loads on Buildings with Three-Dimensional Modes , 2005 .

[7]  Ahsan Kareem,et al.  Equivalent Static Wind Loads on Buildings: New Model , 2004 .

[8]  J. Holmes Effective static load distributions in wind engineering , 2002 .

[9]  Kenny C. S Kwok,et al.  Cross Correlations of Modal Responses of Tall Buildings in Wind-Induced Lateral-Torsional Motion , 2009 .

[10]  Xinzhong Chen,et al.  Wind load effects and equivalent static wind loads of tall buildings based on synchronous pressure measurements , 2007 .

[11]  Ming Gu,et al.  Alongwind static equivalent wind loads and responses of tall buildings. Part I: Unfavorable distributions of static equivalent wind loads , 1999 .

[12]  Donald E. Grierson,et al.  An optimality criteria design method for tall steel buildings , 1993 .

[13]  John Holmes,et al.  High frequency base balance methodologies for tall buildings with torsional and coupled resonant modes , 2003 .

[14]  A G Davenport,et al.  NOTE ON THE DISTRIBUTION OF THE LARGEST VALUE OF A RANDOM FUNCTION WITH APPLICATION TO GUST LOADING. , 1964 .

[15]  Ahsan Kareem,et al.  Lateral‐Torsional Motion of Tall Buildings to Wind Loads , 1985 .

[16]  Chun Man Chan,et al.  Integrated aerodynamic load determination and stiffness design optimization of tall buildings , 2009 .

[17]  Chun Man Chan,et al.  Optimal lateral stiffness design of tall buildings of mixed steel and concrete construction , 2001 .

[18]  Alan G. Davenport,et al.  How can we simplify and generalize wind loads , 1995 .

[19]  Richard G. J. Flay,et al.  A new force balance data analysis method for wind response predictions of tall buildings , 1995 .