We study an approximate solution of the problem of divergence, i.e., of the static instability of a plate discretely reinforced by a system of stiffening ribs in a gas flow. The critical divergence velocity is approximately determined and the influence of stringers on this velocity is analyzed.
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A. G. Gorshkov, V. I. Morozov, A. T. Ponomarev, and F. N. Shklyarchuk, Aerohydroelasticity of Structures [in Russian], Fizmatlit, Moscow (2000).
Ya. G. Panovko and I. I. Gubanova, Stability and Oscillations of Elastic Systems: Modern Concepts, Paradoxes, and Errors [in Russian], Nauka, Moscow (1979).
H. W. Försching, Grundlagen der Aeroelastik, Springer, Berlin (1974).
F. N. Shklyarchuk, Aeroelasticity of Aircrafts [in Russian], MAI, Moscow (1985).
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 2, pp. 173–177, April–June, 2013.
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Antuf’ev, B.A. Stability of a Discretely Reinforced Plate in Gas Flow. J Math Sci 203, 215–220 (2014). https://doi.org/10.1007/s10958-014-2102-x
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DOI: https://doi.org/10.1007/s10958-014-2102-x