【摘要】 对多层剪切型结构考虑基础平动与转动的随机地震响应问题进行了系统研究。首先建立了结构运动方程,并根据结构的振动反应以第一阶振型为主的特点,将结构按第一振型展开;然后针对所得运动方程为非对称质量与非经典阻尼矩阵的情况,用复模态法解耦,获得了体系位移、速度和加速度随机响应的解析表达式,并给出了算例。该方法可推广到非平稳地震响应分析更多还原

【Abstract】 The random earthquake response of multi-layer shear type structure with horizontally translational and rotational base is studied systematically. The dynamic equations are established. According to the fact that the first mode contributes as the main part of the total motion the vibration shapr of the structure is developed and approximated to the first mode shape. Then according to the situation that the mass matrix is non-symmetry and damping matrix is non-classical the complex mode theory is used to decouple the equations and to derive the exact solutions of random earthquake response of structural displacement velocity and acceleration. A calculating example is given. The method can be used to analyse the non-stationary random earthquake response.更多还原