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中文摘要：
桥梁耦合颤振是介于单自由度颤振和经典平板耦合颤振之间的振动现象,因而对经典平板耦合颤振机理的研究对于桥梁气动耦合颤振机理的理解是非常有益的。通过对系统竖向和扭转耦合振动运动方程进行分析,将系统振动参数的频率和阻尼比隐式地表达成主梁断面颤振导数的函数形式,导出了二自由度耦合颤振分析方法。将该分析方法的结果与系统特征值分析方法的计算结果进行了比较,验证了该分析方法的可靠性和适用性,并对理想薄平板断面气动耦合颤振的机理进行了研究。分析结果表明,对于理想薄平板断面来说,耦合颤振导数项对系统振动参数中频率的影响均较小,系统扭转和竖向振动模态的气动阻尼比主要由直接颤振导数项和耦合颤振导数项A1＊H3＊构成,其它耦合颤振导数项对系统气动阻尼影响都不大。
英文摘要：
Since the coupling flutter of bridge decks is a vibration phenomenon between the single degree-of freedom（DOF） flutter and the coupling flutter of thin plate,it is helpful to study the flutter mechanism of an idealized plate section.A 2DOF coupling flutter analysis was derived from the torsional and vertical coupled motion equations of system,in which the frequencies and damping ratios of the system vibration characteristics were expressed implicitly as functions of flutter derivatives.The comparison of the presented results with the exact ones by a characteristic analysis of system motion equations was performed and the presented method was proved reliable in its methodology and proper in its application.Moreover,the mechanism of aerodynamically coupling flutter for an idealized plate section was investigated.It notes that the effect of the coupling flutter derivatives on the frequency of the system modes is neglectable,the aerodynamic damping is mainly made up of the terms of direct flutter derivatives and A＊1H＊3 and the effect of the other coupling flutter derivatives is small.
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