Geodesic
The compelled axisymmetric bending fluctuations of thick round rigid plate
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 142-152

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The new closed solution of axially symmetric nonstationary problem of the theory of elasticity for thick round anisotropic plate with rigid of its external radial surface is constructed. Calculated relations are obtained by method of expansion in eigen vector-functions in the form of structural algorithm of finite transformations. Numerical results allow to define the natural-vibration frequency, and also the stress-strain state of the testing element.
Keywords: compelled fluctuations, axisymmetric dynamic stress, thick anisotropic plate. 
@article{VSGU_2011_8_a15,
     author = {D. A. Shlyakhin},
     title = {The compelled axisymmetric bending fluctuations of thick round rigid plate},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {142--152},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a15/}
}
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D. A. Shlyakhin. The compelled axisymmetric bending fluctuations of thick round rigid plate. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 142-152. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a15/