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1)安徽建筑工業(yè)學(xué)院土木工程系，合肥，230022；2)大連三江房屋開發(fā)有限公司，大連，116021；3)浙江大學(xué)土木工程學(xué)院，杭州，310027。
【提要】基于狀態(tài)空間理論分析與計算結(jié)構(gòu)動力時程響應(yīng)問題，根據(jù)結(jié)構(gòu)動力學(xué)方程，引入結(jié)構(gòu)系統(tǒng)的
狀態(tài)變量，建立結(jié)構(gòu)動力時程響應(yīng)分析的狀態(tài)方程，并給出非齊次狀態(tài)方程的解。對于求解矩陣指數(shù)函數(shù)有多種解法，著重介紹了凱萊哈密爾頓法、狀態(tài)空間迭代法和精細(xì)積分法。對結(jié)構(gòu)動力時程響應(yīng)問題按三種解法分別建立了計算格式，并編制了相應(yīng)計算程序。給出若干數(shù)值算例，其計算結(jié)果表明，狀態(tài)空間法分析計算結(jié)構(gòu)動力時程響應(yīng)精度好、效率高，是一種非常有效的方法。
【關(guān)鍵詞】 狀態(tài)空間法 動力時程響應(yīng) 矩陣指數(shù)函數(shù)
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