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Contemporary Mathematics and Its Applications, 2013, Volume 88, Pages 68–72 (Mi cma370)  
Study of the stability of axisymmetric oscillations of a cylindrical shell under the action of a nonconservative loading

K. V. Kvachev

Lomonosov Moscow State University
Full-text PDF (131 kB)
Abstract: We consider a cylindrical shell that undergoes a small deformation caused by a running flow of a gas. The action of the gas on the shell is described by the “piston” theory. The study of the stability of axisymmetric oscillations of the system is performed on the basis of the Lyapunov–Movchan theorem. For some cases, we find a critical speed.
English version:
Journal of Mathematical Sciences, 2015, Volume 204, Issue 6, Pages 781–786
DOI: https://doi.org/10.1007/s10958-015-2217-8
Document Type: Article
UDC: 539.384.6
Language: Russian
Citation: K. V. Kvachev, “Study of the stability of axisymmetric oscillations of a cylindrical shell under the action of a nonconservative loading”, Contemporary Mathematics and Its Applications, 88 (2013), 68–72; Journal of Mathematical Sciences, 204:6 (2015), 781–786
Citation in format AMSBIB
\Bibitem{Kva13}
\by K.~V.~Kvachev
\paper Study of the stability of axisymmetric oscillations of a cylindrical shell under the action of a nonconservative loading
\jour Contemporary Mathematics and Its Applications
\yr 2013
\vol 88
\pages 68--72
\mathnet{http://mi.mathnet.ru/cma370}
\transl
\jour Journal of Mathematical Sciences
\yr 2015
\vol 204
\issue 6
\pages 781--786
\crossref{https://doi.org/10.1007/s10958-015-2217-8}
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