Numerical solution of dynamic problems of the theory of three-layer cylindrical shells of elliptic cross-section with transverse ribbed filler
DOI:
https://doi.org/10.15407/dopovidi2017.09.055Keywords:
elliptical cross-section, forced vibrations, numerical solution, three-layer cylindrical shell, Timoshenko theory of shells and rodsAbstract
The three-layer cylindrical shells with elliptic cross-section with regard for a cross-ribbed discrete filler are studied. According to the Timoshenko hypothesis for shells and ribs, the corresponding wave equation is de duced. In the solution of the specific boundary-value problems, an explicit finite-difference scheme of integration of the equations is used. As a numerical example, a solution of the problem of forced oscillations of a not axisymmetric heterogeneous shell structure under the action of a distributed unsteady load is given.
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Bolotin, V. V. & Novichkov, Yu. N. (1980). The mechanics of multilayered structures, Moscow: Engineering (in Russian).
Golovko, K. G., Lugovoi, P. Z. & Meish, V. F. (2012). Dynamics of inhomogeneous shells under nonstationary loads. (Ed. Guz A.N.). Kyiv: Publ. Centre "Kyiv University" (in Russian).
Lugovoi, P. Z, Meish, V. F. & Shtantsel, S. E. (2005). Forced Non-Stationary Vibrations of Three-Layered Cylindrical Shell with Longitudinal-Transverse Discrete Ribbed Filler. Int. Appl. Mechanics. 41, No. 2, pp. 161-168. https://doi.org/10.1007/s10778-005-0072-x
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