Study of the single-mode flutter of a rectangular plate in the case of variable amplification of the eigenmode along the plate

In 1] the single-mode (high-frequency) flutter of a plate was investigated in the case in which the eigenmodes in a vacuum are associated with symmetric trajectories of disturbance propagation along the plate. In the case of nonsymmetric trajectories a handicap to such a study is presented by the fact that the flow-induced oscillation buildup turns out to be different at different points on the plate, so that the “smearing” of the eigenfunction under the action of elasticity forces must be taken into account. In this study, this case is considered in detail.