- Ye Weiliang and Dowell, E., Limit cycle oscillation of a fluttering cantilever plate,
AIAA J. (USA), vol. 29 no. 11
pp. 1929 - 36 .
(last updated on 2007/04/10)
This is the first such study for a plate with some edges unsupported. Previous work has dealt with all edges supported. Von Karman theory for a plate and quasisteady, supersonic aerodynamic theory have been assumed. A Rayleigh-Ritz approach has been used to solve for the nonlinear oscillation of a fluttering plate. The length-to-width ratio of the cantilever plate has a significant effect on the flutter vibration. For small length-to-width ratio, the dominant chordwise modes are translation and rotation; however, higher bending modes must be included to obtain an accurate prediction of the flutter onset and limit cycle oscillation. For large length-to-width ratio, significant chordwise bending is apparent in the flutter motion, with the trailing edge area having the largest motion