Mathematical Aeroelasticity: A Survey
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.
Cite
@article{arxiv.1512.07292,
title = {Mathematical Aeroelasticity: A Survey},
author = {Igor Chueshov and Earl H. Dowell and Irena Lasiecka and Justin T. Webster},
journal= {arXiv preprint arXiv:1512.07292},
year = {2015}
}
Comments
1 figure. arXiv admin note: substantial text overlap with arXiv:1509.00808