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

卷 51, 册 1, 2020, pp. 85-98
DOI: 10.1615/TsAGISciJ.2020034274
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摘要

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.

参考文献
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  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).

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