Use of numerical high-exactly algorithms for modeling dynamic demeanour of disretely substantiated five-layered cylindrical shells

Authors

  • N. V. Arnauta National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • R. R. Roman National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

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

Keywords:

multilayered shells, discrete nonuniformities, finite-difference approximations

Abstract

The purpose of this scientific-essay is constructionation numerical dynamical task solving algorithm of multilayered discretely substantiated shells, that based on using Richardson finite-difference approximations types. Multilayered discretely substantiated shells refer to complex nonuniformity by thickness elasticity-structures. In one reason, nonuniformity existed because of shell-flakiness structure, in other case – because of existing discretely substantiated edges. Including the discretely count of substantiated elements brings to exist new bursting coefficients on spatial coordinates in output equations. Numerical method usage (finite-dіfference method, finite-elements method etc.) for solving dynamic-progressions tasks in listed structures observing convergence of the worsening numerical results. For the constructing more effective numerical algorithms used the method, which based on finding approximation solutions by Richardson.

References

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Meysh V. F, Arnauta N. V. (2011). To calculate axisymmetric oscillations of five-layer reinforced cylindrical shells with longitudinal boundary load. Problems of computational mechanics and structural strength. Collection of scientific works (Dnipropetrovsk National University named after Oles Honchar), 15:107-113.

Meysh V. F., Kravchenko N. V. (2002). The calculation of outwardly-deformed state of multilayer shells with discrete inhomogeneities in non-stationary loads. Bulletin of the University of Kiev. Series: phys. Mat. science, 3:210-216.

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):128-133.

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Marchuk G. I. (1977). Methods of computational mathematics. 454.

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Published

2018-12-29

Issue

Vol. 10 No. 5-6 (2018)

Section

Engineering

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