Abstract:
The response of a cylindrical shell to an external dynamic pressure is considered. A distribution of the initial deflection in harmonics is specified, which determines the development of buckling. It is found that at different moments of buckling, the function defining the deflection consists of different harmonics and a dominant harmonic can be identified. The cases of a long shell and a shell of finite length are considered.
Citation:
M. A. Il'gamov, “Rearrangement of harmonics during bending of a cylindrical shell under dynamic compression”, Prikl. Mekh. Tekh. Fiz., 52:3 (2011), 167–174; J. Appl. Mech. Tech. Phys., 52:3 (2011), 471–477
\Bibitem{Ilg11}
\by M.~A.~Il'gamov
\paper Rearrangement of harmonics during bending of a cylindrical shell under dynamic compression
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 3
\pages 167--174
\mathnet{http://mi.mathnet.ru/pmtf1492}
\elib{https://elibrary.ru/item.asp?id=16973541}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 3
\pages 471--477
\crossref{https://doi.org/10.1134/S0021894411030187}
Linking options:
https://www.mathnet.ru/eng/pmtf1492
https://www.mathnet.ru/eng/pmtf/v52/i3/p167
This publication is cited in the following 3 articles:
A. G. Khakimov, “The Influence of Average Pressure on the Eigenfrequencies of Oscillations of a Carbon Nanotube”, Mech. Solids, 58:6 (2023), 2058
G. E. Ozoigbo, A. M. Ette, J. U. Chukwuchekwa, W. I. Osuji, I. U. Udo–Akpan, “Nonlinear Analytical Investigation of Dynamic Buckling of a Spherical Shell Trapped under a Periodic Load”, Mech. Solids, 58:1 (2023), 202
S. V. Dmitriev, M. A. Ilgamov, “The Radial Response of a Carbon Nanotube to Dynamic Pressure”, Dokl. Phys., 66:12 (2021), 336