Mathematical Aeroelasticity: A Survey

Mathematical Aeroelasticity: A Survey
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数学气动弹性：调查

DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
J. Webster
J. Webster
中科院分区：
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文献类型：
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作者：
I. Chueshov;E. Dowell;I. Lasiecka;J. Webster

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各种模型描述流动和振荡结构之间的相互作用进行了讨论。主要目的是分析由流体流动引起的结构不稳定性（颤振）可以被抑制或消除的条件。所提供的分析侧重于以下因素带来的影响：（i）不同的板和流体边界条件，（ii）流速的各种状态：亚音速、跨音速或超音速，（iii）结构的不同建模，其可能会或可能不会考虑面内加速度（全冯卡门系统），（iv）粘性效应，（v）与活塞理论模型简化有关的各种模型，和（iv）轴向流的考虑（与所谓的正常流相反）。下面的讨论是基于通过严格的PDE分析，数值计算和实验试验的组合得出的结论。
A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flutter) induced by a fluid flow can be suppressed or eliminated. The analysis provided focuses on effects brought about by: (i) different plate and fluid boundary conditions, (ii) various regimes for flow velocities: subsonic, transonic, or supersonic, (iii) different modeling of the structure which may or may not account for in-plane accelerations (full von Karman system), (iv) viscous effects, (v) an assortment of models related to piston-theoretic model reductions, and (iv) considerations of axial flows (in contrast to so called normal flows). The discussion below is based on conclusions reached via a combination of rigorous PDE analysis, numerical computations, and experimental trials.