A problem of non – linear deformation of five–layer conical shells with allowance for discrete ribs

Authors

DOI:

https://doi.org/10.31548/dopovidi2021.06.016

Keywords:

multilayered conical shells of revolution, geometrically nonlinear theory of shells and ribs, non-stationary loading, numerical method, nonstationary vibrations

Abstract

In this paper, on the example of a five – layer conical shell, the problem of dynamic behavior of multiyear discrete reinforced conical shells of rotation is considered.  The study is based on the geometrical nonlinear theory of shells and rods of the Tymoshenko type. The Reissner’s  variational principle is used for deductions of the motion equations. An efficient numerical method using Richardson type finite difference approximation for solution of problems on nonstationary behavior of multiplayer shells of revolution with allowance discrete rib is constructed. The method permit to realize solution of the investigated wave problems with the use of personal computers. For the case of axisymmetric vibrations, a detailed analysis of the stress-strain state of the fiver-layer reinforced conical shell was performed.

Author Biography

  • N. V. Arnauta, National University of Life and Environmental Sciences of Ukraine
    доцент кафедри вищої математики

References

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Vol. 37, № 10, 3 – 23.

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https://doi.org/10.31548/dopovidi2020.06.025

Meysh V. F., Meish Y. A., Arnauta N.V. (2019) Numerical Analysis of Nonstationary Vibrations of Discretely Reinforced Multilayer Shells of Different Geometry [International Applied Mechanics] Vol. 55. - №4.

https://doi.org/10.1007/s10778-019-00962-2

Arnauta N.V., Roman R.R.(2018)The usage of numerical high-exactly algorithms for modeling dynamic demeanour of discretely substantiated five-layered cylindrical shells [Біоресурси і природокористування] Vol 10. № 5-6, 167-173

https://doi.org/10.31548/bio2018.05.027

Lugova P. Z., Meysh V. F., Meish Y. A. (2014). Solving the problems of dynamic behavior of rein-forced cylindrical shells (constructive orthotropic model) with non-stationary charges. [Problems of computational mechanics and structural strength: a collection of scientific works] 23, 115-123.

Meysh V. F, Arnauta N. V. (2013). Using the Richardson approximation for numerical simulation of dynamic behavior of multilayer discretely reinforced cylindrical shells under non-stationary loads. [Book of scientific works of Dneprodzerzhinsky State Technical University (technical sciences)] 2(22), 128-13

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Published

2021-12-16

Issue

No. 6(94) (2021)

Section

Machinery & Automation ofAgriculture 4.0

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