- Dowell, E.H., Nonlinear oscillations of fluttering plate,
AIAA Journal, vol. 4 no. 7
pp. 1267 - 1275 .
(last updated on 2007/04/10)
Problem of two- and three-dimensional plates undergoing limit cycle oscillations (subsequent to occurrence of linear, aeroelastic instability) is investigated; Von Karman's large deflection plate theory and quasi-steady aerodynamic theory are employed; effects of (constant) inplane load and static pressure differential are included; Galerkin's method is used to reduce problem to system of nonlinear ordinary differential equations in time which are solved by numerical integration; results are presented for limit cycle deflection, stress and frequency as functions of dynamic pressure, air/panel mass ratio, static pressure differential, and in-plane load and length-to-width ratio; these will be of interest in evaluation of fatigue life of fluttering plate.