A method for analyzing the stress–strain state of a ribbed cylindrical shell that interacts with an elastic foundation under dynamic axisymmetric loading is presented. The effect of the duration of loading and the parameters of the foundation on the deflection and bending moments of the shell is analyzed
Similar content being viewed by others
References
I. Ya. Amiro, V. A. Zarutskii, and P. S. Polyakov, Ribbed Cylindrical Shells [in Russian], Naukova Dumka, Kyiv (1973).
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, V. N. Revutskii, Yu. V. Skosarenko, et al., Vibrations of Ribbed Shells of Revolution [in Russian], Naukova Dumka, Kyiv (1988).
P. L. Pasternak, Design of Foundations on Elastic Bed: Fundamentals of a New Method Based on Two Moduli of Subgrade Reaction [in Russian], Gosstroiizdat, Moscow (1954).
K. G. Golovko, P. Z. Lugovoi, and V. F. Meish, ”Solution of axisymmetric dynamic problems for cylindrical shells on elastic foundation,” Int. Appl. Mech., 43, No. 12, 1390–1395 (2007).
V. I. Gulyaev, P. Z. Lugovoi, and Yu. A. Zaets, ”Shielding of elastic nonstationary waves by interfaces,” Int. Appl. Mech., 48, No. 4, 414–422 (2012).
V. D. Kubenko and I. V. Yanchevskii, ”Vibrations of a nonclosed two-layer spherical electroelastic shell under impulsive electromechanical loading,” Int. Appl. Mech., 49, No. 3, 303–314 (2013).
P. Z. Lugovoi and N. Ya. Prokopenko, ”Influence of reinforcement and elastic foundation on the vibrations of shallow shells with rectangular planform,” Int. Appl. Mech., 47, No. 6, 714–719 (2011).
H. Matsunaga, ”Vibration and stability of thick plates on elastic foundation,” J. Eng. Mech., 126, No. 1, 27–34 (2000).
N. V. Maiborodina and V. F. Meish, ”Forced vibrations of ellipsoidal shells reinforced with transverse ribs under a nonstationary distributed load,” Int. Appl. Mech., 49, No. 6, 693–701 (2013).
D. N. Palivad and K. Pandey Rajesh, ”The free vibrations of a cylindrical shell on an elastic foundation,” Trans. ASME, J. Vibr. Acoust., 120, No. 1, 63–71(1998).
A. Rosen and J. Singer, ”Vibrations and buckling of eccentrically loaded stiffened cylindrical shells with elastic restraints,” Exp. Mech., 16, No. 3, 88–94 (1976).
A. Rosen and J. Singer, ”Vibrations and buckling of axially loaded stiffened cylindrical shells with elastic restraints,” Int. J. Solids Struct., 12, No. 8, 577–588 (1976).
H. Shen, “Large deflection of Reissner–Mindlin plates on elastic foundation,” J. Eng. Mech., 124, No. 10, 1080–1089 (1998).
S. S. Tameroglu, ”Vibrations of clamped rectangular plates on elastic foundation subjected to uniform compressive forces,” J. Eng. Mech., 122, No. 8, 714–718 (1996).
X. P. Shi, ”Rectangular thick plate with free edges on Pasternak foundation,” J. Eng. Mech., 120, No. 5, 971–988 (1994).
Yu. V. Skosarenko, ”Stability of a ribbed cylindrical shell interacting with an elastic foundation,” Int. Appl. Mech., 46, No. 5, 556–561 (2010).
S. P. Timoshenko, D. H. Young, and W. Weaver, Jr., Vibration Problems in Engineering, John Wiley and Sons, New York (1974).
A. T. Vasilenko and G. P. Golub, ”Asymmetric deformation of orthotropic shells of revolution on a nonlinear elastic foundation,” Int. Appl. Mech., 31, No. 9, 738–741 (1995).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 51, No. 1, pp. 112–122, January–February 2015.
Rights and permissions
About this article
Cite this article
Skosarenko, Y.V. The Stress–Strain State of a Ribbed Cylindrical Shell Interacting with an Elastic Foundation Under Short-Term Loads. Int Appl Mech 51, 92–101 (2015). https://doi.org/10.1007/s10778-015-0675-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-015-0675-9