Equivalent Linearization Method for Limit Cycle Flutter Analysis of Plate-Type Structure in Axial Flow
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摘要: 研究带立方非线性板状结构在轴向二维粘性流中的响应及极限环颤振。采用Galerkin法将连续系统离散化,应用当量线性化方法初步确定系统发生极限环颤振的流速范围,采用颤振振幅-等效线性刚度-临界流速耦合图判断出系统发生稳定的极限环颤振。数值积分结果表明,当量线性化方法应用于板状结构的极限环颤振分析是正确的。Abstract: The responses and limit cycle flutter of a plate-type structure with cubic stiffness in viscous flow were studied. The continuous system was dispersed by utilizing Galerkin Method. The equivalent linearization concept was performed to predict the ranges of limit cycle flutter velocities. The coupled map of flutter amplitude-equivalent linear stiffness-critical velocity was used to analyze the stability of limit cycle flutter. The theoretical results agree well with the results of numerical integration, which indicates that the equivalent linearization concept is available to the analysis of limit cycle flutter of plate-type structure.
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