The equations of refined geometrically nonlinear theory of dynamic deformation of flexible with respect to
transversal shear and compression ofplates and shells are proposed. The solutions for problems of transversal
nonlinear vibrations of hinge fixedplate-strip are obtained. Numerical results are compared with the known in
literature.
(NTU "KhPI", 2016) Marchuk, M. V.; Goriachko, T. V.; Pakosh, V. S.; Lesyk, O. F.
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 is proposed and verified. 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.
