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2 Vibrations in Physical Systems

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Free vibrations of layer composite plates pliable to transversal shear and compression

Lesyk O., Marchuk M., Pakosh V.

Vibrations in Physical Systems

2012

Vol. 25

253--260

A mathematical model of the process of linear free vibrations of layer plates with components pliable to transversal shear and compression is proposed. The analytical expression for the spectrum of natural frequencies of two-layer plate-strip is obtained. The influence of parameters of pliability to transversal shear and compression on their values is investigated.

Influence of pliability to transversal deformations of shear and compression on correlation frequency from amplitude for nonlinear oscillations of composite plates

Marchuk M., Pakosh V., Lesyk O., Hurayewska I.

Vibrations in Physical Systems

2006

Vol. 22

251--256

A system of differential equations describing the non-linear transverse vibrations of composite plates – pliable to transversal shear and compression strains – is presented. The analytical expressions for amplitude-frequency characteristics of such vibrations are given. The parametric analysis of dependence of a basic frequency of transverse vibrations of a strip-plate versus the amplitude at the hinge fixed and rigid fastened of the edges is made. The skeletal curves for non-linear vibrations of composite plates are constructed.