The effect of the stiffness of ribs on the minimum natural frequencies and critical stresses of axially compressed open cylindrical shells reinforced with a quasiregular set of longitudinal ribs is analyzed by way of numerical examples. It is shown that the earlier discovered phenomenon of abrupt decrease in the minimum frequencies is independent of rib stiffness for certain modes and a small number of ribs
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I. Ya. Amiro and V. A. Zarutskii, Theory of Ribbed Shells, Vol. 2 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1980).
I. Ya. Amiro, V. A. Zarutskii, and P. S. Polyakov, Ribbed Cylindrical Shells [in Russian], Naukova Dumka, Kyiv (1973).
H. Abramovich and V.A. Zarutskii, ”Stability and vibrations of nonclosed circular cylindrical shells reinforced with discrete longitudinal ribs,” Int. Appl. Mech., 44, No. 1, 16–22 (2008).
H. Abramovich and V. A. Zarutskii, ”Stability and vibrations of cylindrical shells discretely reinforced with ribs,” Int. Appl. Mech., 46, No. 1, 46–53 (2010).
H. Abramovich and V. A. Zarutskii, ”Stability of open circular cylindrical shells reinforced with longitudinal ribs,” Int. Appl. Mech., 44, No. 12, 1389–1396 (2008).
H. Abramovich and V. A. Zarutskii, ”General solution of the equilibrium equations for open circular cylindrical shells reinforced with discrete longitudinal ribs,” Int. Appl. Mech., 45, No. 6, 643–654 (2009).
H. Abramovich and V. A. Zarutskii, ”Propagation of harmonic waves along open circular cylindrical shells reinforced with a quasiregular set of discrete longitudinal ribs,” Int. Appl. Mech., 45, No. 9, 1000–1006 (2009).
V. A. Zarutskii, P. Z. Lugovoi, and V. F. Meish, ”Dynamic problems for and the stress–strain state of inhomogeneous shell structures under stationary and nonstationary loads,” Int. Appl. Mech., 45, No. 3, 245–271 (2009).
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 9, pp. 32–39, September 2010.
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Abramovich, H., Zarutskii, V.A. Effect of the stiffness of ribs on the vibrations and stability of open cylindrical shells. Int Appl Mech 46, 994–1000 (2011). https://doi.org/10.1007/s10778-011-0390-0
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DOI: https://doi.org/10.1007/s10778-011-0390-0