- Dowell, E.H., Nonlinear aeroelasticity,
Advances in the Astronautical Sciences, vol.50, pt.1-2. Proceedings on an International Symposium on Engineering Sciences and Mechanics
pp. 760 - 99 .
(last updated on 2007/04/10)
Three nonlinearities are considered. They are structural non-linearities for plates and shells, fluid mechanical nonlinearities for bluff body oscillators, and aerodynamic nonlinearities for airfoils in transonic flow. For aeroelasticity of plates and shells, the equations of motion are well established. Results obtained by numerical time integration may be compared to those obtained by topological theories of dynamics and also from experiment. All of these suggest that the chaotic limit cycle oscillations may occur for this deterministic system. For bluff body oscillators, the equations of motion themselves are still in an emerging stage. Here a qualitative theory may be useful in establishing a generic model which describes the essential features of the physical phenomena. For aerodynamic nonlinearities in transonic flow effective methods of analysis are under development based upon first principles of fluid and solid mechanics and results from exploratory studies are now becoming available