INVESTIGATION OF THE NONLINEAR FLUTTER OF VISCOELASTIC PLATES IN A SUPERSONIC FLOW

Authors

  • Bakhtiyar Khudayarov

DOI:

https://doi.org/10.47839/ijc.4.1.323

Keywords:

Viscoelastic, flutter, plate, Integro-differential equation

Abstract

In this paper the flutter of nonlinear viscoelastic plates in a supersonic flow is investigated. The basic direction of work is consisted in taking into account of viscoelastic material’s properties at supersonic speeds. Quasi-steady aerodynamic panel loadings are determined using piston theory. The vibration equations relatively of deflection are described by Integrо-differential equations in partial derivatives. The plate nonlinear partial integro-differential equation is transformed info a set of nonlinear ordinary IDE through a Bubnov-Galerkin’s approach. The resulting system of IDE is solved through the Badalov-Eshmatov integration method. Critical speeds for plate flutter are defined.

References

Fung, Y.C., “Some recent contributions to panel flutter research.” AIAA J. 1, 1963, pp.898-909.

Fung, Y.C., “A summary of the theories and experiments on panel flutter, “ Guggenheim Aeronautical Lab., California Institute of Technology, Air Force Office of Scientific Research TN 60-224 (may 1960).

Dowell, E.H. and Voss, H.M. “Experimental and theoretical panel flutter studies in the Mach number range 1.0 to 5.0, “ AIAA J. 3, 1965, pp. 2292-2304.

Bolotin, V.V., Non-conservative Problems of the Theory of Elastic Stability, Moscow. 1961.p. 340. (in Russian).

Volmir, A.S., Stability of Deformable Systems, Nauka, Moscow,1967. p. 768. (in Russian).

Dowell, E.H., “Panel Flutter: A Review of the Aeroelastic stability of Plates and Shells,” AIAA Journal, Vol.8, No2, 1970, pp.385-399.

Bogdanovich, A.E. Nonlinear Problems of dynamic of cylindrical composite shells. Riga: Zinathe.-1987 (in Russian).

Tamuzs, V.P. and Teters, G.A.,” Problem of mechanics of Composite Materials, “ Mechanics of Composite Materials J. N 1, 1979, pp. 34-45 (in Russian).

Badalov, F. B., Eshmatov, H., “ One method of solution of system of Integra – differential the problems of viscoelasticity,” Journal of Applied Mathematics and Mechanics. Moscow. Vol. 51, N 5. 1987, pp. 867-871. (in Russian).

Khudayarov, B.A., Nonlinear flutter of the viscoelastic plates and cylindrical panels. Avtoreferat of diss. On candidate physics-mathematics science. Tashkent. Uzbekistan. 1998. p. 19. (in Russian).

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Published

2014-08-01

How to Cite

Khudayarov, B. (2014). INVESTIGATION OF THE NONLINEAR FLUTTER OF VISCOELASTIC PLATES IN A SUPERSONIC FLOW. International Journal of Computing, 4(1), 42-45. https://doi.org/10.47839/ijc.4.1.323

Issue

2005, Volume 4, Issue 1

Section

Articles

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