A method of determination of the minimum frequencies of oscillations of imperfect ribbed cylindrical shells on elastic foundations

Authors

  • G.D. Gavrylenko
  • V. I. Matsner

DOI:

https://doi.org/10.15407/dopovidi2014.08.067

Keywords:

cylindrical shells, elastic foundations, minimum frequencies of oscillations

Abstract

An approach to the determination of the critical frequencies of oscillations of ribbed cylindrical shells in the elastic medium (elastic foundation) with axisymmetric irregularities of their forms is proposed. The results of studies of the effect of the parameters of axisymmetric imperfections (the number of dents, their lengths and amplitudes) on the minimum frequencies of oscillations at various coefficients characterizing the elastic foundation are presented.

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References

Gavrilenko G. D., Matsner V. I. Dopov. Nac. akad. nauk Ukr., 2007, No 12: 54–60 (in Russian).

Gavrilenko G. D., Matsner V. I. Analytical and numerical methods for determining the oscillation frequency in loaded ribbed shells, Kyiv: Akademperiodyka, 2010 (in Russian).

Gavrilenko G. D., Matsner V. I. Fluctuations ribbed cylindrical shells under various types of loads. In Theoretical foundations of civil engineering. Polish-Ukrainian-Lithuanian Transactions. Vol. 21, Warsaw, 2013: 199–204 (in Russian).

Golovko K. G., Lugovyy P. Z., Meish V. F. The dynamics of inhomogeneous shells under transient loads, Kyiv: Izd.-poligraf. tsentr “Kievskii universitet”, 2012 (in Russian).

Published

01.03.2025

How to Cite

Gavrylenko, G., & Matsner, V. I. (2025). A method of determination of the minimum frequencies of oscillations of imperfect ribbed cylindrical shells on elastic foundations . Reports of the National Academy of Sciences of Ukraine, (8), 67–71. https://doi.org/10.15407/dopovidi2014.08.067