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This study addresses the analysis of crosswind response of tall buildings at wind speed region higher than vortex lock-in speed,where nonlinear negative aerodynamic damping effect is significant.The modeling of aerodynamic damping as a function of time-varying velocity and/or displacement of vibration is established based on motion-induced force information obtained from forced-vibration model testing in wind tunnel.The limitations of current equivalent aerodynamic damping models as functions of root-mean-square(RMS)response derived from harmonic balance and statistical linearization are revealed.This study,by using the method of equivalent nonlinear equation,presents complete analytical solutions of crosswind response statistics including RMS response and peak factor.The accuracy of the analytical predictions is illustrated through comparisons with time domain simulations.This general framework can also be readily adopted in design codes and standards for calculating vortex-induced vibration of towers and chimneys.