The effect of added masses on the quasistatic (divergence) and dynamic (flutter) loss of stability of cylindrical shells interacting with the internal fluid flow is studied. The dependence of the critical velocity of the fluid on the type of attachment of the added masses is analyzed
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I. Ya. Amiro, V. A. Zarutskii, and V. G. Palamarchuk, Dynamics of Ribbed Shells [in Russian], Naukova Dumka, Kyiv (1983).
V. V. Bolotin, Nonconservative Problems of the Theory of Elastic Stability, Pergamon Press, Oxford (1963).
A. S. Vol’mir, Shells in Fluid Flow: Problems of Hydroelasticity [in Russian], Nauka, Moscow (1979).
R. F. Ganiev and P. S. Koval’chuk, Dynamics of Systems of Rigid and Elastic Bodies [in Russian], Mashinostroenie, Moscow (1980).
V. M. Darevskii and I. L. Sharinov, “Free vibrations of a cylindrical shell with concentrated mass,” in: Proc. 6th All-Union Conf. on the Theory of Shells and Plates [in Russian], Nauka, Moscow (1965), pp. 350–354.
S. V. Kozlov, “Determination of the natural frequencies and mode configurations for small vibrations of an orthotropic cylindrical shell with attached masses,” Int. Appl. Mech., 18, No. 2, 138–142 (1981).
V. D. Kubenko, P. S. Koval’chuk, and T. S. Krasnopol’skaya, Nonlinear Interaction of Flexural Vibration Modes of Cylindrical Shells [in Russian], Naukova Dumka, Kyiv (1984).
M. Amabili, Nonlinear and Stability of Shells and Plates, Cambridge University Press, Cambridge (2008).
M. Amabili and M. P. Païdoussis, “Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels with a without fluid–structure interaction,” Appl. Mech. Rev., 56, No. 4, 349–381 (2003).
M. Amabili, F. Pellicano, and M. P. Païdoussis, “Nonlinear dynamics and stability of circular cylindrical shell containing flowing fluid. Part 1: Stability,” J. Sound Vibr., 225, No. 4, 655–699 (1999).
K. V. Avramov and E. A. Strel’nikova, “Chaotic oscillations of plates interacting on both sides with a fluid flow,” Int. Appl. Mech., 50, No. 3, 303–309 (2014).
S. S. Chen, M. W. Wambsgans, and J. A. Jendrzejczyk, “Added mass and damping of a vibrating rod in confined viscous fluid,” Trans. ASME, Ser. E, J. Appl. Mech., 43, No. 2, 325–329 (1976).
E. H. Dowell and K. C. Hall, “Modeling of fluid structure interaction,” Ann. Rev. Fluid Mech., 33, 445–490 (2001).
P. S. Koval’chuk and N. P. Podchasov, “Stability of elastic cylindrical shells interacting with flowing fluid,” Int. Appl. Mech., 46, No. 1, 60–68 (2010).
P. S. Koval’chuk and G. N. Puchka, “Stability of cylindrical shells with added mass in fluid flow,” Int. Appl. Mech., 46, No. 5, 546–555 (2010).
V. D. Kubenko, “Nonstationary contact of a rigid body with an elastic medium: Plane problem (review),” Int. Appl. Mech., 48, No. 5, 487–551 (2012).
V. A. Maksimyuk, E. A. Storozhuk, and I. S. Chernyshenko, “Nonlinear deformation of thin isotropic and orthotropic shells of revolution with reinforced holes and rigid inclusions,” Int. Appl. Mech., 49, No. 6, 685–692 (2013).
F. Pellicano and M. Amabili, “Stability and vibration of empty and fluid-filled circular cylindrcal shells under static and periodic axial loads,” Int. J. Solids Struct., 40, 3229–3251 (2003).
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Translated from Prikladnaya Mekhanika, Vol. 50, No. 5, pp. 101–110, September–October 2014.
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Koval’chuk, P.S., Kruk, L.A. & Pelykh, V.A. Stability of Composite Cylindrical Shells with Added Mass Interacting with the Internal Fluid Flow. Int Appl Mech 50, 566–574 (2014). https://doi.org/10.1007/s10778-014-0655-5
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DOI: https://doi.org/10.1007/s10778-014-0655-5