To the statement of dynamic problems of the theory of discrete longitudinally reinforced conical shells in a nonorthogonal curvilinear coordinate system

Authors

  • V.F. Meish S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • Yu.A. Meish S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • Ye.D. Belov S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2019.03.029

Keywords:

conical shell, elliptic crosssection, Timoshenko theory of shells and rods

Abstract

The paper deals with the problem of the dynamic behavior of a longitudinally reinforced conical shells with elliptic cross-section under the action of a distributed load. The equations of oscillations of the reinforced conical shell in a nonorthogonal coordinate system are given. A variant of the theory of shells and rods by S.P. Timoshenko is used

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References

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

The theory of shells with allowance for transverse shear. Galimova 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).

Published

21.04.2024

How to Cite

Meish, V., Meish, Y., & Belov, Y. (2024). To the statement of dynamic problems of the theory of discrete longitudinally reinforced conical shells in a nonorthogonal curvilinear coordinate system . Reports of the National Academy of Sciences of Ukraine, (3), 29–34. https://doi.org/10.15407/dopovidi2019.03.029