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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics

Izv. Saratov Univ. Math. Mech. Inform., 2024, Volume 24, Issue 1, Pages 49–56 (Mi isu1007)

Free vibration frequencies of prismatic thin shells
G. T. Dzebisashvili, A. L. Smirnov, S. B. Filippov

References

1. Filippov S. B., Haseganu E. M., Smirnov A. L., “Free vibrations of square elastic tubes with a free end”, Mechanics Research Communications, 27:4 (2000), 457–464  crossref  zmath
2. Dzebisashvili G. T., “Free vibrations of cylindrical shells with the square cross-section”, Proceedings of the seminar “Computer methods in continuum mechanics” 2017–2018, St. Petersburg State University Publ., St. Petersburg, 2019, 13–29 (in Russian)
3. Amosov A. S., “Free vibrations of a thin rectangular elastic tube”, Bulletin of St. Petersburg University. Mathematics. Mechanics. Astronomy, 2004, no. 1, 67–72 (in Russian)
4. Chen Y., Jin G., Liu Z., “Free vibration of a thin shell structure of rectangular cross-section”, Key Engineering Materials, 486 (2011), 107–110  crossref
5. Dzebisashvili G. T., Filippov S. B., “Vibrations of cylindrical shells with rectangular cross-section”, Journal of Physics: Conference Series, 1479 (2020)  crossref
6. Gonçalves R., Camotim D., “The vibration behaviour of thin-walled regular polygonal tubes”, Thin-Walled Structures, 84 (2014), 177–188  crossref
7. Krajcinovic D., “Vibrations of prismatic shells with hexagonal cross section”, Nuclear Engineering and Design, 22:1 (1972), 51–62  crossref
8. Borkovic̀ A., Kovačevic̀ S., Milašinovic̀ D. D., Radenkovic̀ G., Mijatovic̀ O., Golubovic̀-Bugarski V., “Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method”, Thin-Walled Structures, 117 (2017), 63–88  crossref
9. Liang S., Chen H. L., Liang T. X., “An analytical investigation of free vibration for a thin-walled regular polygonal prismatic shell with simply supported odd/even number of sides”, Journal of Sound and Vibration, 284:1–2 (2005), 520–530  crossref  mathscinet
10. Leissa A. W., Vibration of Plates, US Government Printing Office, Washington, 1969, 353 pp.
11. Goldenweiser A. L., Lidsky V. B., Tovstik P. E., Free Vibrations of Thin Elastic Shells, Nauka, M., 1979, 384 pp. (in Russian)


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