A state space method for coupled flutter analysis of long-span bridges
A state space method for coupled flutter analysis of long-span bridges
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DOI：
10.12989/sem.2002.14.4.491
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发表时间：
2002-10
影响因子：
2.2
通讯作者：
Q. Ding;Airong Chen;H. Xiang
中科院分区：
文献类型：
--
作者：
Q. Ding;Airong Chen;H. Xiang
提出了一种基于结构模态坐标的大跨度桥梁气动耦合颤振分析的状态空间方法。本文应用了复振型理论。将系统的一般控制方程转化为状态空间格式的复杂标准特征方程，该方程只包含两个变量。该方法是一种关于折合速度的单参数搜索法，不需要预先选择参与振型，也不要求结构阻尼阵的形式。可以提供系统特性随减速和风速变化的信息。该方法能够自动找到颤振运动的最低临界颤振速度，并给出颤振运动中各参与振型的相对幅值、相位和能量比。并对主跨1385m的江阴长江悬索桥进行了颤振分析。该方法在方法上是可靠的，在实际应用中是有效的。
A state-space method is proposed to analyze the aerodynamically coupled flutter problems of long-span bridges based on the modal coordinates of structure. The theory about complex modes is applied in this paper. The general governing equation of the system is converted into a complex standard characteristic equation in a state space format, which contains only two variables. The proposed method is a single-parameter searching method about reduced velocity, and it need not choose the participating modes beforehand and has no requirement for the form of structure damping matrix. The information about variations of system characteristics with reduced velocity and wind velocity can be provided. The method is able to find automatically the lowest critical flutter velocity and give relative amplitudes, phases and energy ratios of the participating modes in the flutter motion. Moreover, the flutter analysis of Jiangyin Yangtse suspension bridge with 1385 m main span is performed. The proposed method has proved reliable in its methodology and efficient in its use.