摘要
首先建立了基础隔震结构的运动方程.由于所得运动方程为非对称质量与非经典阻尼矩阵的情况,因此用复模态法解耦,得到了结构地震响应的时域表达式;然后引用欧拉变换,获得了响应关于一系列等效单自由度体系位移和速度响应的线性组合,根据振型分解反应谱理论就可以求解基础隔震结构基于设计反应谱的地震响应和地震作用.最后,通过一个例子来说明该方法的精度和应用,以便为理论研究、工程设计和规范的修正提供参考.
The dynamic equations of base seismic-isolation structure are established first. Snasmuch as the mass matrixis non-symmetry and the damping matrix non-classical, the complex mode theory is used to uncouple the equations and the expression in time domain of structural earthquake responses is gained. The dynamic response, which is equal to the combination of displacement and velocity responses of a series of equivalent SDOF systems, is obtained using Euler transform. Then the earthquake responses and earthquake action of base seismic isolation structure based on designed response spectrum are obtained according to the mode-decomposed response spectrum theory. At last, an example is put forward to show the precision as well as the use of this method. The results give some reference to the theoretical research, project design and code revision.
出处
《西安建筑科技大学学报（自然科学版）》
CSCD
北大核心
2007年第4期504-511,共8页
Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
基金
广西自然科学基金(0481001)
广西高校百名中青年学科带头人资助计划(RC20060814017)
广西科学基金(0575021)
广西教育厅科研项目(20050852)
关键词
基础隔震
地震作用
设计反应谱
复振型分解
等效单自由度体系
base seismic isolation
earthquake action
designed response spectrum
complex mode-decomposed
equivalent SDOF system
