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IssuesArchive of Issues2002-4pp.98-110

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V. V. Vasil'ev and A. A. Krikanov, "Equistressed membrane shells of revolution formed by continuous winding of a reinforced tape," Mech. Solids. 37 (4), 98-110 (2002)
Year 2002 Volume 37 Number 4 Pages 98-110
Title Equistressed membrane shells of revolution formed by continuous winding of a reinforced tape
Author(s) V. V. Vasil'ev (Moscow)
A. A. Krikanov (Moscow)
Abstract We consider membrane shells of revolution loaded by a uniform internal pressure and formed from a composite material by continuous winding of a tape. The tape woven from parallel fibers is arranged symmetrically with respect to the shell generatrix. The familiar solutions determining the equilibrium shape of the surface of the shell and its thickness were obtained previously under the assumption that the width of the tape was small. In the present paper, these solutions are extended to the case of a tape of finite width which is utilized in real technological processes. Refined relations defining the surface shape, thickness, and structural parameters of composite shells of the class is question are obtained.
References
1.  J. Kushnerick, "Plastic Polaris planned," Aircraft and Missiles, No. 2, pp. 15-17, 1961.
2.  I. F. Obraztsov, V. V. Vasil'ev, and V. A. Bunakov, Optimal reinforcement of shells of revolution made of composite materials [in Russian], Mashinostroenie, Moscow, 1977.
3.  V. A. Bunakov and V. D. Protasov, "Pressure vessels from composite materials," in V. V. Vasil'ev and Yu. M. Tarnopol'skii (Editors), Composite Materials. A Handbook [in Russian], pp. 351-375, Mashinostroenie, Moscow, 1990.
4.  A. A. Krikanov, "Determining the thickness of a composite shell of revolution formed by winding," in Mechanics of Reinforced Plastics [in Russian], pp. 90-97, Izd-vo RPI, Riga, 1983.
5.  A. A. Krikanov, "Optimal shape of shells of revolution formed by winding, with the tape thickness being taken into account," in Strength Analysis [in Russian], Vol. 29, pp. 235-242, Mashinostroenie, Moscow, 1989.
6.  A. A. Medvedev and V. D. Protasov, "Refining stiffness and elastic characteristics of bases of spiral windings in polar hole zones," Mekhanika Komposit. Materialov, No. 3, pp. 485-488, 1990.
7.  V. V. Novozholov, Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad, 1962.
8.  I. V. Gekkeler, Statics of an Elastic Body [Russian translation from German], Gostekhizdat, Leningrad, Moscow, 1934.
9.  V. I. Feodos'ev, Selected Problems and Questions on the Strength of Materials [in Russian], Nauka, Moscow, 1996.
10.  R. Rivlin and A. Pipkin, "Design of minimum-mass high-pressure vessels reinforced with inextensible threads," Trans. ASME, Applied Mechanics [Russian translation], No. 1, pp. 123-129, 1963.
Received 28 January 2001
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