Determining the effect of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads

Authors

DOI:

https://doi.org/10.15587/1729-4061.2024.310241

Keywords:

three-layer shells, forced oscillations, non-stationary load, reinforcing stiffeners, numerical algorithm

Abstract

The object of this study is the deformation of multilayer ellipsoidal shells under non-stationary distributed load. It is proposed to reinforce the shell with longitudinal stiffeners to enhance the strength of it. The application of Timoshenko's theory of shells and cores enabled the investigation of the influence of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads with the discrete positioning of the stiffeners. A mathematical model of shell oscillations under various types of short-term non-stationary loads was based on the Hamilton-Ostrogradsky variational principle. The numerical algorithm based on the application of the integral-interpolation approach to the construction of finite difference schemes in spatial coordinates, combined with an explicit finite-difference scheme for the time coordinate, was used to solve the task set.

It has been determined that reinforcing stiffeners significantly affect the deformed state of the multilayer ellipsoidal shell. The "shell-stiffeners" relation was taken into account as a base for research. The maximum deformation ε11 of the smooth three-layer ellipsoidal shell was on average 1.4 times greater than the deformation ε11 of the reinforced three-layer ellipsoidal shell throughout the entire studied time interval. It was determined that over time the presence of reinforcing stiffeners has a more significant impact on the deformed state of the reinforced ellipsoidal shell.

A distinctive feature of this research is the consideration of the discrete placement of reinforcing stiffeners which made it possible to investigate the impact of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads.

The results could be used for the investigation of applied problems in research organizations and design bureaus when designing shell structures

Author Biographies

Yuliia Meish, National University of Life and Environmental Sciences of Ukraine

Doctor of Technical Sciences, Professor

Department of Higher and Applied Mathematics

Maryna Belova, State University of Trade and Economics

PhD, Associate Professor

Department of Digital Economy and System Analysis

Nataliia Maiborodina, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor

Department of Natural Sciences, Mathematics, and General Engineering Disciplines

Viacheslav Gerasymenko, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor

Department of Electric Power Engineering, Electrical Engineering and Electromechanics

 

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Determining the effect of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads

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Published

2024-08-29

How to Cite

Meish, Y., Belova, M., Maiborodina, N., & Gerasymenko, V. (2024). Determining the effect of longitudinal stiffeners on the deformation of multilayer ellipsoidal shells under non-stationary loads. Eastern-European Journal of Enterprise Technologies, 4(7 (130), 78–88. https://doi.org/10.15587/1729-4061.2024.310241

Issue

Vol. 4 No. 7 (130) (2024): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2024 Yuliia Meish, Maryna Belova, Nataliia Maiborodina, Viacheslav Gerasymenko

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