高层框架在随机水平荷载下的随机反应分析

Response analysis of random vibration of highrise frames under random ground motion

根据框架变形特点 ,采用连续化方法 ,将高层框架连续化为剪切型竖向悬臂梁 ;将随机水平荷载简化为与空间位置无关的时间参数t的平稳过程 ,通过结构振型分解法直接求得结构随机响应。并在已知水平荷载的均值、相关函数和互谱密度的情况下 ,推导了位移反应的均值、协方差函数及方差的计算公式 ,应用表明 :该公式计算简便 ,易于应用 。

In this paper, employing the continuum calculation model, based on the deformation characteristics of frame, the highrise frames are simplified as a vertical shear cantilever beam. Lateral random loads is modeled as stationary process of time parameter t, having nothing to do with its space position. The structural random response is obtained by mode-decomposition method. Given the mean value,the correlation formulae of the mean value,the covariance function and the square deviation of displacement response are derived. The proposed approach is a simple but effective to random vibration analysis of frame structures.