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在进行多自由度粘滞阻尼体系的地震反应分析时,以结构位移反应峰值的误差为目标函数,建立了求解Rayleigh阻尼系数的优化方程。随后,以地震反应谱随阻尼比变化的经验公式为基础,形成地震反应谱导数的近似计算公式。从而形成一个仅需地震反应谱和结构模态分析成果,即可得到综合考虑结构动力特性、地震波输入方向和频谱特性的Rayleigh阻尼系数的计算方法。最后,任意选择10条地震波对一栋高层建筑进行地震反应分析,数值计算结果表明这一方法可有效地减少由阻尼引起的计算误差。
In the seismic response analysis of viscous damping system with multiple degrees of freedom, the optimization equation for solving the Rayleigh damping coefficient is established based on the error of the peak displacement of the structure as the objective function. Subsequently, based on the empirical formula of the seismic response spectrum changing with the damping ratio, an approximate calculation formula of the seismic response spectrum derivative is formed. Thus a method of calculating the Rayleigh damping coefficient considering the dynamic characteristics of the structure, the direction of seismic wave input and the spectral characteristics can be obtained by simply using the results of seismic response spectra and structural modal analysis. Finally, an arbitrary seismic wave is selected to analyze the seismic response of a high-rise building. The numerical results show that this method can effectively reduce the calculation error caused by damping.