框架-核心筒结构的多维随机地震反应分析

为了同时考虑地震动的多维性与随机性对结构反应的影响，鉴于多维地震动主轴方向各分量不相关的假设，建立了一类多维非平稳地震动的降维模拟方法。首先通过建模生成了多维非平稳地震动的代表性时程，进而通过分析代表性时程集合的二阶统计特性验证了本文方法的有效性。同时，以此时程作为地震动输入，分析了一个33层框架-核心筒结构在不同地震动输入方式（一维、二维及三维）下的随机动力反应，进一步验证多维非平稳地震动的降维模拟方法的工程适用性

Multi-Dimensional Random Seismic Responses Analysis of Frame-Core Tube Structure

To investigate the influence of multi-dimensionality and randomness of ground motions on the structural responses simultaneously，we proposed a dimension-reduction method for simulating multi- dimensional non-stationary ground motions based on the assumption that the directional components of each principal axis of multi-dimensional ground motion are uncorrelated. The representative time-histories of multi-dimensional non-stationary ground motions were firstly generated. Then，the validity of the proposed method was verified by analyzing the second-order statistical characteristics of the representative time-history set. Meanwhile，taking the representative time-histories as the seismic input，the random seismic responses of a 33-story frame-core tube structure subjected to different seismic input cases （one-dimension，two-dimension and three-dimension） were analyzed. Numerical results further demonstrate the applicability of the proposed method of multi-dimensional non-stationary ground motions in engineering practices.