Vibrations of ribbed plates on elastic bases

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:International Applied Mechanics, volume 35, pages 64-68 (issn: 1063-7095, eissn: 1573-8582,

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Authors: Andrianov, I. V.; Bulanova, N. S.; Sedin, V. L.;

doi: 10.1007/bf02682064

Vibrations of ribbed plates on elastic bases

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Abstract

The paper deals with the rectilinear plate \((\,0\leq x\leq L_1\), \(\,-L_2\leq y\leq L_2)\), which is resting on the elastic Vinkler base with rigidity \(c_1\). The plate is reinforced by the regular force set of \(\,N=2k+1\,\) ribs. It is assumed that the ribs are located symmetrically to the middle surface and the ends of the plate are rigidly fixed. The authors obtain an analytical expression of the formula which describes the whole spectrum of the natural vibrations of the ribbed plate.

Keywords

Vibrations in dynamical problems in solid mechanics, natural vibrations, Plates, ribbed plate

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