The dynamics of variants of two-dimensional cantilevered flexible plates in axial flow

Cantilevered thin flexible plates in subsonic axial flow may lose dynamic stability at sufficiently high flow velocity. Once the critical point is exceeded, flutter takes place, and the flutter amplitude grows as the flow velocity is further increased. Richer dynamics are obtained for modified forms (“variants”) of this basic system. In particular, in the present paper four cases are considered: with (i) gravity, (ii) a spring support of either linear or cubic type, (iii) a concentrated mass mounted on the plate, and (iv) a small oscillating incidence angle in the undisturbed flow. For each specific variant of the basic system, the influence of these added features is investigated; e.g., for the spring support and concentrated mass the effects of magnitude and/or location are discussed. Some interesting phenomena found in the dynamics of these variants of the system are summarized in this paper.