Abstract
In [1] an investigation was made of jet flow around an elastic plate. Below, in an exact nonlinear statement, a study is made of the problem of jet flow around an elastic cylindrical shell, fastened at one end and having the second end free. With certain limitations on the form of the shell, the single-valued solvability of the problem is demonstrated, and a method for its solution is proposed. Some results of calculations are given. A statement and a solution of the inverse problem of static hydroelasticity are also given.
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O. M. Kiselev and É. F. Rapoport, “Jet flow around an elastic plate,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4 (1976).
S. P. Timoshenko and S. Woinowskii-Krieger, Theory of Plates and Shells, 2nd Ed., McGraw-Hill (1959).
O. M. Kiselev and V. L. Fedyaev, “Jet flow of a liquid in the presence of a flexible boundary,” in: Proceedings of the Seminar on Boundary-Value Problems [in Russian], No. 11, Izd. Kazansk. Univ., Kazan' (1974).
M. A. Lavrent'ev and B. V. Shabat, Methods in the Theory of Functions of a Complex Variable [in Russian], Izd. Nauka (1965).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 24–32, March–April, 1977.
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Kiselev, O.M., Rapoport, É.F. Jet flow around an elastic shell. Fluid Dyn 12, 186–192 (1977). https://doi.org/10.1007/BF01050686
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DOI: https://doi.org/10.1007/BF01050686