Stability calculations for three-layer cylindrical shells with a ribbed filler

International Applied Mechanics -     

Dispersion Curves for Harmonic Waves Propagating Along the Directrix of a Cylindrical Shell Reinforced with Rings

A method is proposed to study the influence of discrete ribs on the dispersion curves for harmonic waves propagating along the directrix of a simply supported cylindrical shell reinforced with rings. A numerical example is considered to demonstrate the necessity of accounting for this factor, the possibility of using a simplified formulation of the problem, and the necessity of accounting for the asymmetry of rib arrangement about the median surface of the shell     

Edge Resonance in Structurally Orthotropic Cylindrical Shells

Possibilities for edge resonances to occur in structurally orthotropic cylindrical shells through which harmonic waves propagate are studied. It is shown that such resonances may be generated by axisymmetric longitudinal flexural waves propagating in a rigidly clamped semi-infinite shell __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 7, pp. 93–101, July 2005.     

Stability of open circular cylindrical shells reinforced with longitudinal ribs

We obtain exact and approximate solutions to buckling problems for circular cylindrical open shells hinged at all edges and quasiregularly reinforced with discrete longitudinal ribs. It is shown that analogous solutions to natural-vibration problems for such shells can easily be found Translated from Prikladnaya Mekhanika, Vol. 44, No. 12, pp. 83–92, December 2008.     

The vibrations of rectangular plates rib-reinforced in one direction

The exact solution of equilibrium equations is found on the assumption that ribs are symmetrical about the middle plane of a plate and work in bending from this plane. The necessary and sufficient conditions of the applicability of the theory of structurally orthotropic shells to the solution of the problem are formulated. This study has been carried out in accordance with Project 614 of the Ukrainian Scientific and Technological Center. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 3, pp. 90–94, March, 2000.     

Evaluation of loads critical to stability loss of ribbed conical and spherical shells

A new formula has been proposed for estimation of critical stresses in ribbed conical and spherical shells. Numerical values of the unknown coefficients that enter into the formula have been defined by the supposition that the curve constructed in accordance with the proposed formula has to envelop from below all experimental values of the critical stresses known to the authors. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 35, No. 9, pp. 47–50, September, 1999.     

Influence of discrete ribs on the vibrations of rectangular plates

A rectangular plate reinforced with longitudinal ribs is considered. The influence of the discrete ribs on the wavenumbers of harmonic waves propagating along the ribs is investigated. The effect of the stiffness parameters of the ribs on the natural frequencies and modes of a cross-ribbed plate is studied __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 65–78, February 2006.