Abstract
The equations of nonaxisymmetric vibrations of discretely reinforced multilayer cylindrical shells are analyzed. A refined Timoshenko model of shells and beams is used to analyze elements of an elastic structure. The vibration equations for an inhomogeneous elastic system are derived using the Reissner variational principle. The numerical solver of the dynamic equations is based on the integro-interpolation method used to construct finite-difference schemes for equations with discontinuous coefficients. The dynamic behavior of a five-layer cylindrical shell under distributed nonstationary loading is analyzed
Similar content being viewed by others
REFERENCES
P. Z. Lugovoi and V. F. Meish, “Numerically modeling the dynamic behavior of reinforced shells of revolution under nonstationary loading,” Prikl. Mekh., 28, No. 11, 38-44 (1992).
V. F. Meish, “Numerical solution of two-dimensional dynamic problems in the geometrically nonlinear Timoshenko theory of discretely reinforced cylindrical shells,” Prikl. Mekh., 33, No. 2, 61-67 (1997).
I. K. Naval, V. I. Patsyuk, and V. K. Rimskii, Nonstationary Waves in Deformable Media [in Russian], Shtiintsa, Kishinev (1986).
A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).
P. Z. Lugovoi, “Dynamics of thin-walled structures under nonstationary loads,” Int. Appl. Mech., 37, No. 5, 602-627 (2001).
V. F. Meish and S. É. Shtantsel', “Dynamic problems in the theory of sandwich shells of revolution with a discrete core under nonstationary loads,” Int. Appl. Mech., 38, No. 12, 1501-1507 (2002).
M. I. Mikhailova, “Problems on nonstationary interaction of structural elements with shock waves,” Int. Appl. Mech., 37, No. 10, 1237-1254 (2001).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Meish, V.F., Kravchenko, N.V. Nonaxisymmetric Vibrations of Discretely Reinforced Inhomogeneous Multilayer Cylindrical Shells under Nonstationary Loads. International Applied Mechanics 39, 1066–1072 (2003). https://doi.org/10.1023/B:INAM.0000008215.63623.fe
Issue Date:
DOI: https://doi.org/10.1023/B:INAM.0000008215.63623.fe