用波动理论分析结构的水平地震反应

基于结构侧向位移的剪切波动方程，提出分析多层剪切型结构水平地震反应的新方法。首先在层局部坐标中建立波动方程，对其作傅氏变换，得到频域内位移和剪力关于层状态向量的方程；然后依据层界面的位移协调条件和力平衡条件建立传递矩阵联系各层的状态向量；最后由边界条件求解状态向量，并利用傅氏逆变换得到结构的位移和剪力。算例分析表明此方法比模态叠加法更精确、应用更简便。

Wave motion theories for analysis of horizontal seismic responses of structures

Based on the shear wave formulation,this paper presents a new method to calculate horizontal seismic responses of multistory shear type structures. Shear wave formulations are derived in story coordinates,and transformed into the frequency domain through Fourier transformations so that displacements and shearing forces in the frequency domain are obtained and represented by story status vectors. Transfer matrixes relative to status vectors of different stories are established in accordance with force equilibrium and displacement compatibility at story interfaces,and status vectors are solved making use of the boundary condition. Then,displacements and story shearing forces are obtained through making counter Fourier transformations. Example analyses show that the new method is more accurate and simple than modal analyses.