Propagation of harmonic waves in longitudinally reinforced cylindrical shells with low shear stiffness

The exact solutions of the equations of motion derived under refined theories of shells and ribs based on the Timoshenko model are used to plot dispersion curves for harmonic waves propagating along a cylindrical shell reinforced with discrete longitudinal ribs __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 37–41, May 2006.     

Propagation of harmonic waves along open circular cylindrical shells reinforced with a quasiregular set of discrete longitudinal ribs

We obtain the exact solution describing the propagation of harmonic waves along an open cylindrical shell reinforced with a quasiregular set of discrete longitudinal ribs. Numerical examples are used to examine the effect of discrete ribs on the number and shape of dispersion curves and the effect of the stiffness and inertial characteristics of the ribs on the excitation frequency for given wave parameters     

The natural vibrations of rectangular plates reinforced by orthogonal ribs

A technique is proposed to determine the fundamental frequencies of vibrations of rectangular plates strengthened by an orthogonal system of ribs. The necessity of allowing for the discrete arrangement of ribs is demonstrated by numerical examples. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 7, pp. 117–122, July, 2000.     

Features of the buckling of ribbed shells

The results of stability analysis of ribbed shells performed on the basis of the techniques developed by I. Ya. Amiro and his followers are reviewed. Attention is focused on the features of their buckling due to the discrete arrangement of ribs. S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 5, pp. 3–31, May, 2000.     

On the Applicability Domain of the Assumptions in the Theory of Ribbed Shells

The assumptions adopted in the theory of ribbed shell are formulated. It is pointed out that they should be taken into account in analyzing calculated results     

Waves propagating along the directrix of a multilayered orthotropic cylindrical shell reinforced by annular ribs

Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 28, No. 9, pp. 68–72, September, 1992.