To the construction of a numerical algorithm for solving the dynamic problems of the theory of discretely reinforced conic shells in a nonorthogonal coordinate system

TitleTo the construction of a numerical algorithm for solving the dynamic problems of the theory of discretely reinforced conic shells in a nonorthogonal coordinate system
Publication TypeJournal Article
Year of Publication2019
AuthorsMeish, VF, Meish, YA, Belov, YD
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2019.06.019
Issue6
SectionMechanics
Pagination19-24
Date Published06/2019
LanguageUkrainian
Abstract

The paper deals with the construction of a numerical algorithm for solving the dynamic problems of discretely supported conic shells of an elliptic cross-section under the action of a distributed load on it. The equations of vibrations of a supported conic shell in a nonorthogonal coordinate system and the corresponding numerical algorithm for solving the problems are given. The variant of the theory of shells and rods by the Timoshen ko type is used.

Keywordsconic shell, elliptic section, numerical algorithm, Timoshenko theory of shells and rods
References: 

1. Meish, V. F., Meish, Yu. A., Belov, Ye. D. (2018). The dynamics of conical shells of the elliptic section at nonstationary loads. Dopov. Nac. akad. nauk Ukr., No. 1. pp. 29-33 (Ukrainaan). doi: https://doi.org/10.15407/dopovidi2018.01.029
2. Golovko, K. G., Lugovoi, P. Z. & Meish, V. F. (2012). Dynamics of inhomogeneous shells under nonstationary loads. Publ. Centre “Kyiv University” (in Russian).
3. The theory of shells with allowance for transverse shear. Galimov, K.Z. (Ed.) (1977). Kazan: Publ. House of Kazan. Univ. (in Russian).
4. Kilchevsky, N. A. (1972). Fundamentals of tensor calculus with applications in mechanics. Kiev: Naukova Dumka (in Russian). doi: https://doi.org/10.1007/BF00886082