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arXiv · 1512.07292

Mathematical Aeroelasticity: A Survey

Igor Chueshov·Earl H. Dowell·Irena Lasiecka·Justin T. Webster
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Abstract

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.

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Igor Chueshov, Earl H. Dowell, Irena Lasiecka, Justin T. Webster. 2015-12-22. Mathematical Aeroelasticity: A Survey. https://arxiv.org/abs/1512.07292

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