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中文摘要：
借鉴现代控制理论中对动态系统状态的描述方式，通过有理函数对颤振导数的近似表达而产生的自激力状态空间模型的具体列式依赖于有理函数的形式。为探究基于不同形式的有理函数的自激力状态空间模型的时频特性，选用工程上常用的有理函数的Roger格式和Karpel格式，以颤振分析中经典的具有理想平板断面的简支梁作为算例，对比了采用两种格式的自激力状态空间列式的颤振频域和时域分析结果。研究发现：两种格式的自激力状态空间模型均有较好的频域响应特性，相对而言基于Karpel格式的颤振分析结果对颤振导数拟合残差的改变更为敏感；两种格式的自激力状态空间模型有相同的时域响应特性，且气动状态初始条件的未知会带来颤振时域分析中结构响应的失真，通过限定表征自激力气动状态的气动系数的下限可以有效的解决该问题。
英文摘要：
Self-exited forces of bridge can be expressed in state space domain according to the state space description of dynamic system in modern control theory, and its formulation depends on rational functions for approximating flutter derivatives. In or- der to discuss time and frequency response characteristics of state space model in different forms of rational function for self-ex- ited force, flutter analysis of a simple supported beam with idealized thin plane section is conducted in frequency and time do- main, using the Roger＇s and Karpel＇s rational function approximations for flutter derivatives. It is discovered that frequency- response characteristics of the two formulations are both favorable, although the results based on Karpel＇s rational function ap- proximations are more sensitive to fitting residual of flutter derivatives. Besides, time-response characteristics of the two for- mulations are similar. As a result of unknown initial conditions of the aerodynamic state, structural response may be distorted, which can be solved by restricting the lower limit of the aerodynamic parameters associated with aerodynamic states.
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