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PANEL FLUTTER OF PLATE UNDER SUBSONIC FLOW IN TWO-DIMENSIONAL APPROACH

Volumen 51, Edición 1, 2020, pp. 85-98
DOI: 10.1615/TsAGISciJ.2020034274
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SINOPSIS

The method of calculating panel flutter of a flat plate is proposed in two-dimensional formulation. It is assumed that the upper surface of the plate is passed by a subsonic flow and the lower surface contacts with still air. Unsteady velocity potential is used to calculate aerodynamic pressure values. An integral-differential equation of plate oscillations in air flow is derived. Its discretization is fulfilled using finite element method. Several examples of numerical calculations of panel flutter are considered.

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

  2. Vedeneev, V.V., Guvernyuk, S.V., Zubkov, A.F., and Kolotnikov, M.E., Experimental Investigation of Single-Mode Panel Flutter in Supersonic Gas Flow, Fluid Dyn., vol. 2, no. 45, pp. 312-324, 2010.

  3. Bolotin, V.V., Non-Conservative Problems of Elastic Stability Theory, Moscow, Russia: Fizmatlit, 1961. (in Russian).

  4. Bisplinghoff, R.L., Ashley, H., and Halfman, R.L., Aeroelasticity, Cambridge, MA: Addison-Wesley Publishing Company, 1955.

  5. Tikhonov, A.N. and Samarskii, A.A., Equations of Mathematical Physics, Moscow, Russia: Nauka, 1977. (in Russian).

  6. Korn, G. and Korn, T., Mathematical Handbook, Moscow, Russia: Nauka, 1978. (in Russian).

  7. Rayleigh, J.W.S. and Lindsay, R.B., The Theory of Sound, 2nd ed., vol. 2, Mineola, NY: Dover Publications, 1896.

  8. Zenkevich, O., Finite-Element Method in Technology, Moscow, Russia: MIR, 1975. (in Russian).

  9. Kiriyanov, D.V., Mathcad 15/Mathcad Prime 1.0, SPb: Izd-vo "BHV-Peterburg", 2012. (in Russian).

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