Fundamental frequencies of long prismatic shells

Authors

  • Georgii T. Dzebisashvili St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
  • Andrei L. Smirnov St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
  • Sergei B. Filippov St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

DOI:

https://doi.org/10.21638/spbu01.2024.412

Abstract

The impact of the length of a shell on the fundamental frequencies of natural vibrations of a prismatic thin shell is studied in the paper. A thin cylindrical shell, the cross-section of which is a regular polygon, is analyzed. Provided that the perimeter of the cross-section is preserved, the influence of the length of the structure and the number of faces on the natural frequencies is examined. For limiting cases of the number of faces (shells with the square cross-section and circular cross-section), the results of numerical analysis in COMSOL and the analytical results are in close agreement with each other.

Keywords:

prismatic thin shell, vibrations of thin shells, FEM analysis, long-wave vibrations, asymptotic, equivalent 1D models

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Published

2024-12-28

How to Cite

Dzebisashvili, G. T., Smirnov, A. L., & Filippov, S. B. (2024). Fundamental frequencies of long prismatic shells. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11(4), 772–781. https://doi.org/10.21638/spbu01.2024.412

Issue

Vol. 11 No. 4 (2024)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.