Geodesic
Stability of cylindrical shell containing rotating liquid
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 106-115

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The stability of the cylindrical shells, which interact with the liquid, rotating inside them, is analyzed using the finite element method. The results of numerical experiments performed for shells with different boundary conditions and geometric dimensions are presented. It has been found that regardless of the version of boundary conditions used for shells the loss of stability is realized in the form of a flutter, which occurs as coalescence of waves, propagating in the direct and opposite direction.
Keywords: classical theory of shells, rotating potential liquid, finite element method, stability, flutter. 
@article{VSGU_2010_6_a11,
     author = {S. A. Bochkarev},
     title = {Stability of cylindrical shell containing rotating liquid},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {106--115},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_6_a11/}
}
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S. A. Bochkarev. Stability of cylindrical shell containing rotating liquid. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 106-115. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a11/