Flutter of a Wide Strip Plate in a Supersonic Gas Flow

H. C. Nelson and H. J. Cunningham, Theoretical Investigation of Flutter of Two-Dimensional Flat Panels with One Surface Exposed to Supersonic Potential Flow, NACA, Rep. No. 1280 (1956).

A. A. Movchan, “On the oscillations of a plate moving in a gas,” Prikl. Mat. Mekh., 20, No.2, 211–222 (1956).

V. V. Bolotin, Nonconservative Problems of Elastic Stability Theory [in Russian], Fizmatgiz, Moscow (1961).

E. I. Grigolyuk, R. E. Lamper, and L. G. Shandarov, “Flutter of panels and shells”, Advances in Science and Technology. Mechanics [in Russian], VINITI, Moscow, 34–90 (1965).

E. H. Dowell, “Panel flutter: A review of the aeroelastic stability of plates and shells,” AIAA J., 8, No.3, 385–399 (1970).

T. Y. Yang, “Flutter of flat finite element panels in supersonic potential flow,” AIAA J., 13, No.11, 1502–1507 (1975).

Yu. N. Novichkov, “Flutter of plates and shells”, Advances in Science and Technology. Mechanics of Deformable Solids [in Russian], 11, VINITI, Moscow, 67–122 (1978).

A. A. Ilyushin and I. A. Kiiko, “Oscillations of a rectangular plate in a supersonic gas flow,” Vestn. MGU, Ser. 1, Mathematics, Mechanics, No. 4, 40–44 (1994).

S. D. Algazin and I. A. Kiiko, “Investigation of the operator eigenvalues in panel flutter problems,” Izv. Ros. Akad. Nauk, Mekh. Tverd. Tela, No. 1, 170–176 (1999).

D. M. Minasyan and M. M. Minasyan, “A novel approximation in the problem of plate flutter in a supersonic gas flow,” Dokl. Nats. Akad. Nauk Armenii, 101, No.1, 49–54 (2001).

D. M. Minasyan “Calculation of the frequencies of unimodal flutter oscillation of a finite plate,” Izv. Nats. Akad. Nauk Armenii, Ser. Mekhanika, 54, No.4, 26–33 (2001).

A. G. Kulikovskii, “On the stability of homogeneous states,” Prikl. Mat. Mekh., 30, No.1, 148–153 (1966).

E. M. Lifshits and L. P. Pitaevskii, Theoretical Physics. V. 10. Physical Kinetics [in Russian], Nauka, Moscow (1979).

A. Kornecki, “Aeroelastic and hydroelastic instabilities of infinitely long plates. II,” Solid Mech. Archives, 4, No.4, 241–346 (1979).

V. V. Vedeneev, “Instability of an unbounded elastic plate in a gas flow,” Fluid Dynamics, 39, No.4, 526–533 (2004).

Panel Flutter. NASA Space Vehicle Design Criteria (Structures), NASA SP-8004 (1972).

S. N. Kan and I. A. Sverdlov, Aircraft Strength Calculations [in Russian], Mashinostroenie, Moscow (1966).

Vibration in Technology. Handbook in 6 Volumes. V. 3. Vibration of Mechanisms, Structures and their Elements [in Russian], Mashinostroenie, Moscow (1980).

A. I. Smirnov, Aeroelastic Stability of Aircraft [in Russian], Mashinostroenie, Moscow (1980).