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《Earthquake Engineering and Engineering Vibration》 2005-01
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The complex modal methods for analysis of random earthquake response of structures with horizontally translational and rotational base

Li Chuangdi~1,Huang Dongmei~1,Li Tun~(1),Chen Junzhong~2 (1.Department of Civil Engineering, Guangxi Institute of Technology, Liuzhou 545006, China; 2.College of Civil Engineering,Guangxi University,Nanning 530004,China)  
The random earthquake responses of structures with horizontally translational and rotational bases were studied systematically. The dynamic equations were established firstly. Then, according to the situation of the non-classical damping, the complex mode theory was used to decouple the equations, and the exact solutions of displacement, velocity and acceleration responses were got. The example shows that the deviations of displacement, velocity and acceleration of structure are increased 36.29%, 113.63%, 8.22%,respectively than the immovable base when considering translational and rotational base. So considering the effect of horizontally translational and rotational base for the structure-soil interaction is necessary. The method presented can be used to non-stationary random earthquake response analysis.
【Fund】: 广西青年科学基金项目(0007009);; 教育部国家重点实验室访问学者基金项目[教技司 2000(123)号];; 广西工学院博士基金项目   
【CateGory Index】: P315.9
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