高层建筑结构动力时程响应分析的状态空间迭代法

本文把现代控制理论中的状态空间理论应用到高层建筑结构动力响应分析中，提出了状态空间迭代法分析高层建筑结构动力响应问题。根据结构动力方程，引入位移与速度为状态变量，导出状态方程，给出非齐次状态方程的解，进而建立状态空间迭代计算格式。文中结合工程实例，采用状态空间迭代法进行结构动力时程响应分析，其计算结果表明，具有较高的精度，特别对多自由度体系的多输入、多输出等问题的动力响应解法，效率较高。

State Space Iteration Method for Analysis of Dynamic Time History Response of Tall Building Structures

In this paper, the state space method in modern control theory has been presented with the state space iteration method used for the analysis of dynamic response of tall building structures. Based on the dynamic equations of structures, the state equations are derived by introducing displacements and velocities as state vectors,the solution of nonhomogeneous equation being given by the iteration computing scheme. Through an example in practical engineering,the state space iteration method is used for analysis of dynamic time history response of structures, and the computing results show that the state spaceiteration method has better accuracy with especially higher efficiency for multi input and multi output of multi degree of freedom system.