Geodesic
Study of the stability of axisymmetric oscillations of a cylindrical shell under the action of a nonconservative loading
Contemporary Mathematics and Its Applications, Tome 88 (2013), pp. 68-72.

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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. 
@article{CMA_2013_88_a5,
     author = {K. V. Kvachev},
     title = {Study of the stability of axisymmetric oscillations of a cylindrical shell under the action of a nonconservative loading},
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     url = {http://geodesic.mathdoc.fr/item/CMA_2013_88_a5/}
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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, Tome 88 (2013), pp. 68-72. http://geodesic.mathdoc.fr/item/CMA_2013_88_a5/