The stability of bending-torsional equilibrium of a uniform plate subjected to an out-of-plane follower force is studied in this paper. The resulting system approximates to a wing subjected to the thrust of a jet engine. Attention is focused on the determination of the dynamic stability of the wing as a function of engine thrust. Criteria are established for the determination of the maximum allowable value of the engine thrust.
ZieglerH.On the concept of elastic stability. Adv. Appl. Mech., 1962, 4, 361.
2.
SimkinsT. E.AndersonG. L.Stability of Beck's column considering support characteristics. J. Sound Vibr., 1975, 39(3), 359.
3.
BeckM.Die Knicklast des Einseiti Engespannter Tangential Gedruckten Stabes. Z. Angew. Mathematik und Physik, 1952, 3, 225–228.
4.
KounadisA. N.KaiskadilisCoupling effects on a cantilever subjected to a follower force. J. Sound Vibr., 1979, 62 (1), 131–139.
5.
ComoM.Lateral buckling of a cantilever subjected to a transverse follow force. Int. J. Solids Structs, 1966, 2, 515.
6.
XuW.GeninJ.Stability of a cantilevered plate subjected to an out-of-plane follower force. In Proceedings and presented at the XIth US National Congress of Applied Mechanics, Tucson, Arizona, 22 May 1990.
7.
GormanD. J.Free Vibration Analysis of Rectangular plates, 1982 (Elsevier, New York).
