Abstract
The plane nonsymmetric problem on impact against and immersion into a compressible fluid of a thin electic cylindrical shell is considered. The shell rotates about its axis with a given angular velocity. The boundary-value problem is reduced to an infinite system of integral Volterra equations of the second kind.
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References
G. Bateman and A. Erdelyi,Higher Transcendental Functions [Russian translation], Nauka, Moscow (1966).
V. V. Gavrilenko, “Shock interaction of thin elastic cylindrical shells with a liquid,” in:Applied Problems of Strength and Plasticity. Numerical Simulation of Physical and Mechanical Processes [in Russian], Vsesoyuz. Mezhvuz. Sb., Gor'kovskii Univ. (1990), pp. 59–64.
V. V. Gavrilenko, “Impact of a thin elastic cylindrical shell against the surface of a liquid,” in:Hydromechanics [in Russian], Issue 62 (1990), pp. 34–39.
V. V. Gavrilenko, “The plane symmetric problem on impact of a thin elastic circular cylindrical shell against the surface of a liquid with allowance for separation,”Akust. Visnyk,1, No. 2, 34–40 (1998).
V. V. Gavrilenko, “The plane symmetric problem on immersion of a blunt solid into liquid with allowance for separation,”Akust. Visnyk,1, No. 3, 24–29 (1998).
V. D. Kubenko,Permeating of Elastic Shells into a Compressible Liquid [in Russian], Naukova Dumka, Kiev (1981).
V. D. Kubenko, “Shock interaction of bodies with a medium (review)”Prikl. Mekh.,33, No. 12, 3–32 (1997).
V. D. Kubenko and V. V. Gavrilenko, “The plane problem of permeating of thin elastic cylindrical shells into a compressible liquid,”Prikl. Mekh.,26, No. 9, 66–75 (1990).
M. A. Lavrent'ev and B. V. Shabat,Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka Moscow (1965).
K. Lanczos,Practical Methods of Applied Analysis [Russian translation], Fizmatgiz, Moscow (1961).
G. I. Marchuk,Methods of Computational Mathematics [in Russian], Nauka, Moscow (1977).
V. D. Kubenko and V. V. Gavrilenko. “Axisymmetric problem of the impact of a blunt rigid body against the surface of a compressible liquid with allowance for stripping,”Int. Appl. Mech. 34, No. 2, 108–127 (1998).
V. D. Kubenko and V. V. Gavrilenko, “Axisymmetric problem of the impact of a thin spherical shell against the surface of a compressible liquid with allowance for fluid breakaway,”Int. Appl. Mech.,34, No. 9, 825–834 (1998).
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Translated from Prikladnaya Mekhanika, Vol. 36, No. 5, pp. 103–113, May, 2000.
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Kubenko, V.D., Gavrilenko, V.V. The plane problem on vertical impact of a rotating circular cylindrical shell against the surface of a liquid. Int Appl Mech 36, 654–664 (2000). https://doi.org/10.1007/BF02682080
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DOI: https://doi.org/10.1007/BF02682080