摘要
对于频率分布密集或受频带较宽的地震激励的结构,其响应不再以某一单一振型为主,须考虑采用多点控制。本文对受TMD多点控制的结构进行了研究。文中建立了带有多个子结构系统的以模态坐标和子结构自由度为未知量的统一运动方程。针对所得方程为非对称质量、非对称刚度、非经典阻尼的情况,本文给出了使用直接法求解的格式。地震随机响应分析采用了虚拟激励法,可以考虑各振型之间的耦合项,计算量小且精度高。本文的方法适用于带有多个子结构的系统的一般性问题,具有广泛的应用价值。
The response of the structure is not constituted with one single mode shape when the frequency distribution is dense or the earthquake excitation's frequency band is wide. At this time, it is necessary to adopt the multi-point control system. The study on the structures with MTMD is carried out in this paper. The uniform dynamic equation with mode coordinate and slave system's DOF as variables is established for the system with multi slave system. The equation has asymmetric mass matrix, asymmetric stiffness matrix and nonclassical damping matrix, and the direct solving format is given in this paper. The random earthquake response is studied by using pseudo-excitation method, thus the coupling items between modes can be considered. The calculation is cheap and precision is high. The method in this paper is adaptable to the general case of the system with multi-slave structures and has broad application worth.
出处
《地震工程与工程振动》
CSCD
北大核心
2003年第6期174-178,共5页
Earthquake Engineering and Engineering Dynamics
基金
国家电力公司资助项目(KJ00-03-26-01)
关键词
多点控制
主结构
子结构
随机地震响应
multi-point control
master structure
slave structure
random earthquake response
