Mathematical aeroelasticity: A survey

  • Igor Chueshov
  • Earl H. Dowell
  • Irena Lasiecka
  • Justin T. Webster

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 ofmodels 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.

Published
Feb 28, 2016
How to Cite
CHUESHOV, Igor et al. Mathematical aeroelasticity: A survey. Journal | MESA, [S.l.], v. 7, n. 1, p. 5-29, feb. 2016. Available at: <http://nonlinearstudies.com/index.php/mesa/article/view/1283>. Date accessed: 25 sep. 2017.
Section
Articles