剪力墙结构水平地震反应的频域分析

Frequency-domain analysis of horizontal seismic response of shear-wall structures

对于具有楼板集中质量和层间墙体分布质量的剪力墙结构,考虑层间弯曲变形和剪切变形,采用频域分析方法,在层局部坐标系中建立运动微分方程,运用铁木辛柯梁的场传递矩阵和点传递矩阵,建立频域内水平地面运动与结构反应的关系,进而结合傅氏变换求出结构地震反应。算例表明,该方法考虑了结构的实际质量分布,适用于分析质量或结构刚度沿高度有变化的剪力墙结构,而且符合实际情况,计算结果可靠。

For multi-stood shear-wall structures with lumped mass at floors and distributed mass of walls along stories, equations of motion are given in local coordinates and the relationship between horizontal ground motion and structural responses are obtained through the frequency-domain approach, during which bending and shear deformations of stories are taken into account and the field transfer matrix of the Timoshenco Beam and the point transfer matrix are put into use. Then seismic response of structures can be obtained through the Fast Fourier Transform technique. Examples showed that the method takes into account the real mass distribution and is capable of analyzing shear-wall structures with variable mass and stiffness along the height of structures. The model is accordance with reality and can give rise to reliable results.