大跨度桥梁结构气动耦合直接颤振分析

Aerodynamically coupled direct flutter analysis of long-span bridges

基于结构的有限元全物理模型 ,提出了用于分析大跨度桥梁耦合颤振新的直接分析方法。将系统的气动运动控制方程转化成广义特征值问题。为求解大型稀疏矩阵对的部分特征值和特征向量 ,介绍了一种高效的同时迭代方法。由于只需进行单参数的搜索过程且计算效率较高 ,用该方法分析实际大跨度桥梁颤振问题是合适的。此外 ,对具有理想平板截面的简支梁结构和江阴长江大桥进行了直接颤振分析 ,证实了此方法的可靠性和有效性。

This paper proposes a new direct flutter analysis of long span bridges,based on the full order discretized physical model of structure.The governing equation of system is converted into a generalized eigenvalue problem.An efficient simultaneous iteration method is introduced to solve some eigenvalues and eigenvectors of the large sparse matrix pairs.The direct flutter analysis only requires a single parameter searching process and is efficient and fits to the flutter problems of actual long span bridges.Moreover,the direct flutter analysis of a simply support beam with idealized thin plane section and Jiangyin Yangtse river suspension bridge are performed.The proposed method has been proved reliable in its methodology and efficient in its use.