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Natural frequencies of layered elongated cylindrical panels for geometrically nonlinear deformation at discrete consideration of components

Marchuk M., Goriachko T., Pakosh V.

Vibrations in Physical Systems

2016

Vol. 27

255--264

The proposed and verified the technique of finding a finite number of first natural frequencies for geometrically nonlinear vibrations of layered elongated cylindrical panels at discrete consideration of components. The influence of the radius of curvature on the natural frequencies of three- and five-layered panels is investigated. The dependence between the volume of filler three-layer panels and the lowest natural frequency has been established.

Geometrically nonlinear free transversal vibrations of thin-walled elongated panels with arbitrary generatrix

Marchuk M., Goriachko T., Pakosh V.

Vibrations in Physical Systems

2014

Vol. 26

153--160

The algorithm for finding a finite number of the first values of natural frequencies and forms of geometrically nonlinear free transverse vibrations of thin-walled elongated panels with arbitrary generatrix is proposed and verified. Under normal coordinate quadratic the approximation of displacements is used. Along the tangential coordinates used one-dimensional finite elements. The discrete variation problem is built. For its solving the perturbation method is applied. The numerical results are compared with previously obtained by other authors.