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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011 Issue 8(89), Pages 142–152 (Mi vsgu133)

This article is cited in 2 papers

Mechanics

The compelled axisymmetric bending fluctuations of thick round rigid plate

D. A. Shlyakhin

Dept. of Strength of Materials and Structural Mechanics, Samara State University of Architecture and Civil Engineering, Samara, 443001, Russian Federation

Abstract: 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.

UDC: 539.3

Received: 22.04.2011
Revised: 22.04.2011



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