摘要
基于多模态耦合颤振理论和结构的固有模态坐标,导出带有多重调谐质量阻尼器(MTMD)桥梁系统颤振运动微分方程。通过将系统广义位移和速度作为状态空间向量,进一步将系统颤振运动微分方程转化为状态空间方程,最后将带MTMD桥梁颤振问题归结为数学上一个非对称实矩阵的广义特性值问题,并编制了多模态耦合颤振MTMD控制和参数分析程序。以崖门斜拉桥为算例,分析了MTMD对桥梁颤振控制的有效性和鲁棒性,计算结果表明与传统TMD相比,MTMD具有更高的鲁棒性。
Based on multi-mode coupled flutter theory and modal coordinates of the structure the differential equations of flutter motion for bridge with multiple tuned mass dampers （MTMD） are established in this paper. Generalized displacement and velocity vectors of the system are taken as the state-space vectors and the differential equations are transformed into the state-space equations. The bridge flutter problem with MTMD becomes a generalized eigenvalue problem of asymmetrical real matrix. A program for flutter analysis of the bridge with MTMD is also developed and parametric study is performed. Numerical examples of the Yamen cable-stayed bridge are given to investigate the effectiveness and robustness of the MTMD for bridge flutter control. Results show that the MTMD has better robust performance than the conventional tuned mass damper.
出处
《工程力学》
EI
CSCD
北大核心
2005年第4期74-78,83,共6页
Engineering Mechanics
基金
广东省自然科学基金资助项目(000387)
关键词
大跨度桥梁
MTMD
理论分析和数值计算
颤振控制
多模态
耦合颤振
long-span bridges
multiple tuned mass dampers
theoretical analysis and numerical method
flutter control
multi-mode
coupled flutter
