1)安徽建筑工业学院土木工程系，合肥，230022；2)大连三江房屋开发有限公司，大连，116021；3)浙江大学土木工程学院，杭州，310027。
【提要】基于状态空间理论分析与计算结构动力时程响应问题，根据结构动力学方程，引入结构系统的
状态变量，建立结构动力时程响应分析的状态方程，并给出非齐次状态方程的解。对于求解矩阵指数函数有多种解法，着重介绍了凯莱哈密尔顿法、状态空间迭代法和精细积分法。对结构动力时程响应问题按三种解法分别建立了计算格式，并编制了相应计算程序。给出若干数值算例，其计算结果表明，状态空间法分析计算结构动力时程响应精度好、效率高，是一种非常有效的方法。
【关键词】 状态空间法 动力时程响应 矩阵指数函数
New Method for Analysis and Calculation of Dynamic Time History Response of Building Structures/Shen Xiaopu１，Li Chuanhua2，Zhang Hongya1，Chen Rongyi3
(1 Dept. of Civil Engineering, Anhui Architectural Industry Institute, Hefei 230022, China; 2  Dalian San Jiang Estate Development Co.,Ltd., Dalian 116021, China; 3 College of Civil Engineering,Zhejiang University, Hangzhou 310027, China)
Abstract:Based on the state space theory for the problem of analysis and calculation of s
tructural dynamic time history response  and equation of structural dynamic, the state equ
ation is derived for analysis and calculation of structural dynamic time history response by introducing the state space vectors of structural system. And the solution of nonhomogeneous equation is given. There are a member of solution for matrix exponential function to solve. The KelyHamilton method,the state space method and the fine integral method are presented. For the problem of analysis and calculation of structural dynamic time history response, the computing scheme is established in accordance with the three kind
of solution. The computing program is developed. The computing results of numerical examples show that the state space method has high accuracy and efficiency for analysis and calculation of dynamic time history response of structures.
Keywords:the state space method;  dynamic time history response;  matrix exponential function