Analysis of the stress-strain state of smooth cylindrical shells under local loads

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 25, No. 3, pp. 24–31, March, 1989.     

Stability of ribbed cylindrical shell under local edge loads

We examine a hinged cylindrical shell (l, r, h are the length, radius, wall thickness) that is regularly stiffened by stringers (k is the number of stringers; F, I, I^t are the cross-section area and the moments of inertia in bending and torsion) and frames (K₁ is the number of frames; I₁, I ₁ ^t are the moments of inertia in bending in the plane of the ring and in torsion). Compatibility of the deformation of the skin and the ribs is satisfied with respect to deflections and angles of rotation, the eccentricity of the placement of the ribs relative to the middle surface of the skin and the discreteness of arrangement of the stiffeners are not considered. To the edge of the shells there are applied cyclically K₂ local axial loads, which are represented in the form of uniformly distributed normal stresses P₂ on elementary regions (areas) of arc length b. The shell is additionally loaded by an axial force that is applied in the form of uniformly distributed over the end normal stresses P, and also by internal pressure of intensity q, applied to the side surface. The stability problem is solved in the linear formulation for the moment-free precritical state; the energy method in the Timoshenko form is used.S. P. Timoshenko Institute of Mechanics of the Ukraine Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 1, pp. 45–50, 1994.     

Vibrational eigenfrequencies of ribbed cylindrical shells

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev, Translated from Prikladnaya Mekhanika, Vol. 27, No. 9, pp. 47–53, September, 1991.     

Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads

In the present study, the dynamic stability of simply supported, circular cylindrical shells subjected to dynamic axial loads is analysed. Geometric nonlinearities due to finite-amplitude shell motion are considered by using the Donnell’s nonlinear shallow-shell theory. The effect of structural damping is taken into account. A discretization method based on a series expansion involving a relatively large number of linear modes, including axisymmetric and asymmetric modes, and on the Galerkin procedure is developed. Axisymmetric modes are included; indeed, they are essential in simulating the inward deflection of the mean oscillation with respect to the equilibrium position and in describing the axisymmetric deflection due to axial loads. A finite length, simply supported shell is considered; the boundary conditions are satisfied, including the contribution of external axial loads acting at the shell edges. The effect of a contained liquid is investigated. The linear dynamic stability and nonlinear response are analysed by using continuation techniques and direct simulations.     

Postbuckling of FGM cylindrical shells under combined axial and radial mechanical loads in thermal environments

A postbuckling analysis is presented for a shear deformable functionally graded cylindrical shell of finite length subjected to combined axial and radial loads in thermal environments. Heat conduction and temperature-dependent material properties are both taken into account. The temperature field considered is assumed to be a uniform distribution over the shell surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on a higher order shear deformation shell theory with von Kármán–Donnell-type of kinematic nonlinearity. A boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling range, and initial geometric imperfections of the shell, is extended to the case of functionally graded cylindrical shells. A singular perturbation technique is employed to determine the interactive buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect cylindrical shells with two constituent materials subjected to combined axial and radial mechanical loads and under different sets of thermal environments. The results reveal that the temperature field and volume fraction distribution have a significant effect on the postbuckling behavior, but they have a small effect on the imperfection sensitivity of the functionally graded shell.     

Stress-strain analysis of elliptic cylindrical shells under local loads

The stress-strain state of elliptic cylindrical shells under local loads is analyzed.Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 113–121, October 2004.     

Nonconventional approaches to static problems for noncircular cylindrical shells in different formulations

Stress problems for noncircular cylindrical shells in classical, refined, and spatial statements are solved using nonconventional approaches based on discrete Fourier series and spline functions. Solutions for isotropic and orthotropic shells are presented as plots and tables __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 1, pp. 45–65, January, 2007.