Numerical analysis of free vibrations of open cylindrical shells with elliptical cross section

Authors

  • A. Ya. Grigorenko S.P. Tymoshenko Institute of Mechanics NAS of Ukraine, 83000, Kyiv, Nesterov str., 3
  • M. Yu. Borysenko S.P. Tymoshenko Institute of Mechanics NAS of Ukraine, 83000, Kyiv, Nesterov str., 3
  • O. V. Boychuk Nikolaev National Agrarian University, 54030, Nikolaev, Georgy Gongadze st., 9 https://orcid.org/0000-0003-1592-3660

DOI:

https://doi.org/10.17721/1812-5409.2019/2.5

Abstract

The natural frequencies and the corresponding vibration modes of open cylindrical shells with an elliptical cross-section and variable thickness are analyzed. Various opening angle of the shell along both the minor and major axes are allowed and various boundary conditions are considered. The numerical solutions are obtained using the finite element package FEMAP with the NASTRAN solver. A number of lowfrequency vibrations are investigated in terms of their dependence on the opening angle along major and minor axes of the shell. The vibration forms for the first ten frequencies with different boundary conditions at the same opening angles are shown.

Key words: open cylindrical shells, elliptical cross-section, opening angle, frequency, vibration forms, finite element method.

Pages of the article in the issue: 52 - 59

Language of the article: Ukrainian

References

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How to Cite

Grigorenko, A. Y., Borysenko, M. Y., & Boychuk, O. V. (2019). Numerical analysis of free vibrations of open cylindrical shells with elliptical cross section. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (2), 52–59. https://doi.org/10.17721/1812-5409.2019/2.5

Issue

No. 2 (2019)

Section

Differential equations, mathematical physics and mechanics

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