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.     

General solution of the equilibrium equations for open circular cylindrical shells reinforced with discrete longitudinal ribs

The exact solution for the inhomogeneous system of equilibrium equations for open circular cylindrical shells reinforced with a quasi-regular system of discrete ribs is obtained. The dependence of stress–strain state of semi-infinite shells on the distance from the loaded edge is analyzed.     

Stability and vibrations of nonclosed circular cylindrical shells reinforced with discrete longitudinal ribs

The paper gives exact solutions to the stability and vibration problems for nonclosed circular cylindrical shells hinged along the longitudinal edges and reinforced with a regularly arranged discrete longitudinal ribs. These problems are also solved approximately in the cases of regularly and quasiregularly arranged ribs __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 1, pp. 20–27, January 2008.     

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.     

Influence of discretely arranged longitudinal ribs on the stability and vibrations of open circular cylindrical shells

Open cylindrical shells reinforced with quasiregular sets of longitudinal ribs and hinged at all edges are considered. The effect of the discrete arrangement and number of ribs on the critical stresses that cause instability under longitudinal compression and on the minimum natural frequencies of vibrations is examined. Numerical results are analyzed     

Stability of cylindrical shells reinforced by spiral ribs

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 7, pp. 49–56, July, 1990.     

Propagation of harmonic waves along a cylindrical cavity in a compressible medium with initial stresses

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 2, pp. 31–36, February, 1990.     

Vibration of open circular cylindrical shells with intermediate ring supports

This paper is concerned with the free vibration of open circular cylindrical shells with intermediate ring supports. An analytical procedure for determining the free vibration frequencies of such shells is developed based on the Flügge thin shell theory. An open circular cylindrical shell is assumed to be simply supported along the two straight edges and the remaining two opposite curved edges may have any combinations of support conditions. The shell is divided into multiple segments along the locations of the intermediate ring supports. The state-space technique is employed to derive the exact solutions for each shell segment and the domain decomposition method is applied to enforce the geometric and natural boundary/interface conditions along the interfaces of the shell segments and the curved edges of the shell. Comparison studies are carried out to verify the correctness of the proposed method. Exact vibration frequencies are obtained for open circular cylindrical shells with multiple intermediate ring supports.The influence of the number of intermediate ring supports, the locations of the ring supports, the boundary conditions and the variation of the included angle of the shells on the natural frequencies are examined. The exact vibration solutions can be used as important benchmark values for researchers to check their numerical methods and for engineers to design such shell structures.     

Propagation of harmonic elastic waves from a curvilinear cylindrical cavity

International Applied Mechanics -     

Boundary-value problems of longitudinal vibrations of circular cylindrical shells

This paper presents a rigorous formulation of boundary-value problems of longitudinal-radial vibration: approximate equations of vibration, boundary conditions on ends with different types of support, and initial conditions. Formulas are presented to calculate the stress-strain state of a shell through the unknown functions. Results are obtained on the basis of a rigorous mathematical approach in which the shell is examined as a three-dimensional body. Translated from Prikladnaya Mekhanika, Vol. 34, No. 12, pp. 34–40, December, 1998.