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

Authors

  • V.F. Meish S.P. Tymoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
  • Y.A. Meish S.P. Tymoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
  • Y.D. Belov S.P. Tymoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv

DOI:

https://doi.org/10.15407/dopovidi2019.06.019

Keywords:

conic shell, elliptic section, numerical algorithm, Timoshenko theory of shells and rods

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.

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References

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

Golovko, K. G., Lugovoi, P. Z. & Meish, V. F. (2012). Dynamics of inhomogeneous shells under nonstationary loads. Publ. Centre “Kyiv University” (in Russian).

The theory of shells with allowance for transverse shear. Galimov, K.Z. (Ed.) (1977). Kazan: Publ. House of Kazan. Univ. (in Russian).

Kilchevsky, N. A. (1972). Fundamentals of tensor calculus with applications in mechanics. Kiev: Naukova Dumka (in Russian). doi: https://doi.org/10.1007/BF00886082

Published

21.04.2024

How to Cite

Meish, V., Meish, Y., & Belov, Y. (2024). 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. Reports of the National Academy of Sciences of Ukraine, (6), 19–24. https://doi.org/10.15407/dopovidi2019.06.019