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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 5, Pages 90–96
DOI: https://doi.org/10.15372/PMTF20160510 (Mi pmtf794) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Free vibrations of circular cylindrical shells with a small added concentrated mass

G. S. Leyzerovich, S. V. Seregin

Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, 681013, Russia
Full-text PDF (271 kB) Citations (13)
DOI: https://doi.org/10.15372/PMTF20160510
Abstract: The effect of a small added mass on the frequency and shape of free vibrations of a thin shell are studied using shallow shell theory. The proposed mathematical model assumes that mass asymmetry even in a linear formulation leads to coupled radial bending vibrations. The interaction of shape-forming waves is studied using modal equations obtained by the Bubnov–Galerkin method. Splitting of the bending frequency spectrum is found which is caused not only by the added mass, but also shell wave-formation parameters. The ranges of the relative lengths and shell thicknesses are determined in which the interaction of bending and radial vibrations can be ignored.
Keywords: circular cylindrical shell, added mass, bending-radial vibrations, splitting of bending frequency spectrum.
Received: 06.05.2014
Revised: 16.06.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 5, Pages 841–846
DOI: https://doi.org/10.1134/S0021894416050102
Bibliographic databases:
Document Type: Article
UDC: 539.3:534.1
Language: Russian
Citation: G. S. Leyzerovich, S. V. Seregin, “Free vibrations of circular cylindrical shells with a small added concentrated mass”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 90–96; J. Appl. Mech. Tech. Phys., 57:5 (2016), 841–846
Citation in format AMSBIB
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\by G.~S.~Leyzerovich, S.~V.~Seregin
\paper Free vibrations of circular cylindrical shells with a small added concentrated mass
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 5
\pages 90--96
\mathnet{http://mi.mathnet.ru/pmtf794}
\crossref{https://doi.org/10.15372/PMTF20160510}
\elib{https://elibrary.ru/item.asp?id=27178523}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 5
\pages 841--846
\crossref{https://doi.org/10.1134/S0021894416050102}
Linking options:
  • https://www.mathnet.ru/eng/pmtf794
  • https://www.mathnet.ru/eng/pmtf/v57/i5/p90
    • This publication is cited in the following 13 articles:
    1. Anton Samsonov, Sergey Solov'ev, D.V. Rudoy, A.V. Olshevskaya, M.Yu. Odabashyan, “Mathematical modeling of the eigenvibrations for the loaded shallow shell”, E3S Web Conf., 431 (2023), 05013  crossref
    2. Nikolai Vatin, Rustamkhan Abdikarimov, Dadakhan Khodzhaev, D. Bazarov, “Vibrations of a geometrically nonlinear viscoelastic shallow shell with concentrated masses”, E3S Web Conf., 264 (2021), 02046  crossref
    3. Mexseti Akif Rustamova, “Determination of natural vibration frequencies of reinforced cylindrical shell”, Struct. Mech. of Eng. Const. and Build, 17:6 (2021), 628  crossref
    4. Nikolai Vatin, Rustamkhan Abdikarimov, Dadakhan Khodzhaev, Lecture Notes in Civil Engineering, 150, Proceedings of EECE 2020, 2021, 132  crossref
    5. Dadakhan Khodzhaev, Rustamkhan Abdikarimov, Bakhodir Normuminov, “Dynamic stability of viscoelastic rectangular plates with concentrated masses”, IOP Conf. Ser.: Mater. Sci. Eng., 896:1 (2020), 012030  crossref
    6. Dadakhan Khodzhaev, Nikolay Vatin, Rustamkhan Abdikarimov, Bakhodir Normuminov, Bakhadir Mirzaev, “Dynamic stability of viscoelastic orthotropic shells with concentrated mass”, IOP Conf. Ser.: Mater. Sci. Eng., 890:1 (2020), 012042  crossref
    7. S. V. Seregin, Lecture Notes in Mechanical Engineering, Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019), 2020, 717  crossref
    8. S. V. Seregin, Lecture Notes in Mechanical Engineering, Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019), 2020, 931  crossref
    9. S. V. Seregin, Lecture Notes in Mechanical Engineering, Proceedings of the 4th International Conference on Industrial Engineering, 2019, 261  crossref
    10. Zhiyong Song, Qingjie Cao, Qiyi Dai, “Free vibration of truncated conical shells with elastic boundary constraints and added mass”, International Journal of Mechanical Sciences, 155 (2019), 286  crossref
    11. Sergei V. Seregin, “On the Existence Possibility of Radial Forms of Oscillations of Ring Elements”, TSU Herald. Phys Math Model. Oil, Gas, Energy, 4:1 (2018), 132  crossref
    12. S.V. Seregin, V.M. Kozin, “Influence of Attached Body on the Frequency and Modes Free Vibrations Cylindrical Shells”, Procedia Engineering, 206 (2017), 74  crossref
    13. S.V. Seregin, “Influence of Small Added Mass on Splitting Flexural Frequency Spectrum of Circular Ring with Initial Imperfection of Shape”, Procedia Engineering, 206 (2017), 50  crossref
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