Stability of Composite Cylindrical Shells with Noncoincident Directions of Layer Reinforcement and Coordinate Lines
- 25 Downloads
The stability problem is solved for cylindrical shells made of a laminated composite whose directions of layer reinforcement are not aligned with coordinate axes of the shell midsurface. Each layer of the composite is modeled by an anisotropic material with one plane of symmetry. The resolving functions of the mixed variant of shell theory are approximated by trigonometric series satisfying boundary conditions. The stability of the shells under axial compression, external pressure, and torsion is investigated. A comparison with calculation data obtained within the framework of an orthotropic body model is carried out. It is shown that this model leads to considerably erroneous critical loads for some structures of the composites.
Keywordscomposite cylindrical shells stability axial compression external pressure torsion one plane of symmetry
Unable to display preview. Download preview PDF.
- 1.R. B. Rikards and G. A. Teters, Stability of Shells of Composite Materials [in Russian], Zinatne, Riga (1974).Google Scholar
- 2.V. I. Korolev, Laminated Anisotropic Plates and Shells of Reinforced Plastics [in Russian], Mashgiz, Moscow (1965).Google Scholar
- 3.V. I. Mikisheva, “Optimal winding of filament-wound reinforced plastic shells designed to resist buckling under external pressure or axial compression,” Polym. Mech., No. 5, 696–704 (1968).Google Scholar
- 4.G. A. Vanin and N. P. Semenyuk, Stability of Shells of Composite Materials with Imperfections [in Russian], Naukova Dumka, Kiev (1987).Google Scholar
- 5.V. L. Narusberg and G. A. Teters, Stability and Optimization of Composite Shells [in Russian], Zinatne, Riga (1988).Google Scholar
- 6.Yu. V. Nemirovskii, “On the stability of reinforced shells and plates beyond the limit of elasticity,” Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 2, 67–74 (1970).Google Scholar
- 7.I. Yu. Babich, A. V. Boriseiko, and N. P. Semenyuk, “Stability of cylindrical and conic shells of elastoplastic materials,” in A. N. Guz' (ed.), Mechanics of Composite Materials in 12 Vols. Vol. 10. Stability of Structural Elements [in Russian], “A.S.K.,” Kiev (2001), pp. 319–353.Google Scholar
- 8.R. Christensen, Mechanics of Composite Materials, John Wiley & Sons, New York-Chichester-Brisbane-Toronto (1979).Google Scholar
- 9.N. P. Semenyuk, V. M. Trach, and A. V. Podvornyi, “On the stability of cylindrical shells of fibrous composites with account of deviations in reinforcement directions from coordinate axes,” Prikl. Mekh. (2005) (in print).Google Scholar
- 10.V. M. Trach and A. V. Podvornyi, “On the stability of layered shells made of materials with one plane of elastic symmetry,” Prikl. Mekh., 40, No.5, 114–121 (2005).Google Scholar
- 11.S. A. Ambartsumyan, General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).Google Scholar