Post-critical deformation and estimation of the stability of real cylindrical shells under external pressure

1991 ◽  
Vol 27 (3) ◽  
pp. 290-296 ◽  
Author(s):  
A. Yu. Evkin ◽  
V. K. Krasovskii
Keyword(s):  
Cylindrical Shells ◽  
External Pressure ◽  
Critical Deformation ◽  
The Stability

Buckling of Circular Cylindrical Shells Using a Displacement Function

1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Author(s):  
Shun Cheng ◽  
C. K. Chang
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Displacement Function ◽  
Combined Loading ◽  
Trial Solution ◽  
Governing Differential Equation ◽  
Circular Cylindrical Shells ◽  
The Stability

The buckling problem of circular cylindrical shells under axial compression, external pressure, and torsion is investigated using a displacement function φ. A governing differential equation for the stability of thin cylindrical shells under combined loading of axial compression, external pressure, and torsion is derived. A method for the solutions of this equation is also presented. The advantage in using the present equation over the customary three differential equations for displacements is that only one trial solution is needed in solving the buckling problems as shown in the paper. Four possible combinations of boundary conditions for a simply supported edge are treated. The case of a cylinder under axial compression is carried out in detail. For two types of simple supported boundary conditions, SS1 and SS2, the minimum critical axial buckling stress is found to be 43.5 percent of the well-known classical value Eh/R3(1−ν2) against the 50 percent of the classical value presently known.

Buckling of Locally Loaded Isotropic, Orthotropic, and Composite Cylindrical Shells

1988 ◽  
Vol 55 (2) ◽  
pp. 425-429
Author(s):  
Wei Xiao ◽  
Shun Cheng
Keyword(s):  
Differential Equation ◽  
Critical Loads ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Local Loading ◽  
Eighth Order ◽  
Governing Differential Equation ◽  
The Stability ◽  
First Time ◽  
Composite Cylindrical Shells

This paper incorporates an analysis of the stability of orthotropic or isotropic cylindrical shells subjected to external pressure applied over all or part of their surfaces. An eighth-order governing equation for buckling of orthotropic, isotropic, and composite cylindrical shells is deduced. This governing differential equation can facilitate the analysis and enable us to resolve the buckling problem. The formulas and results, deduced for the first time in this paper, may be readily applied in determining critical loads for local loading of orthotropic, isotropic, and composite cylindrical shells.

The Buckling of Cylindrical Shells Under Longitudinally Varying Loads

1962 ◽  
Vol 29 (1) ◽  
pp. 81-85 ◽  
Author(s):  
V. I. Weingarten
Keyword(s):  
Compressive Stress ◽  
Solid Propellant ◽  
Cylindrical Shells ◽  
Longitudinal Direction ◽  
External Pressure ◽  
Circular Cylinders ◽  
Shear Load ◽  
Curvature Parameter ◽  
Axial Compressive Stress ◽  
The Stability

Two problems illustrating the effect of nonuniformity of loading on the buckling characteristics of circular cylinders are investigated. The first problem deals with the effect of linearly varying axial compressive stress, such as would be produced by the weight of the propellant in a solid-propellant engine case. The results indicate that the ratio of the maximum critical compressive stress induced by the shear load to the critical uniform compressive stress varies from 1.9 for the curvature parameter Z equal to 0 to 1.0 as Z becomes infinite. In particular, the increase in stress is less than 20 per cent for Z greater than 100. The stability of thin cylinders loaded by lateral external pressure, varying linearly in the longitudinal direction, is also investigated. The results indicate that for Z greater than 100, the buckling coefficients are proportional to Z1/2.

Buckling of 2D-FG Cylindrical Shells under Combined External Pressure and Axial Compression

2013 ◽  
Vol 5 (03) ◽  
pp. 391-406 ◽  
Author(s):  
R. Mohammadzadeh ◽  
M. M. Najafizadeh ◽  
M. Nejati
Keyword(s):  
Cylindrical Shell ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Axial Direction ◽  
External Pressure ◽  
Functionally Graded ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Classical Shell Theory ◽  
The Stability

AbstractThis paper presents the stability of two-dimensional functionally graded (2D-FG) cylindrical shells subjected to combined external pressure and axial compression loads, based on classical shell theory. The material properties of functionally graded cylindrical shell are graded in two directional (radial and axial) and determined by the rule of mixture. The Euler’s equation is employed to derive the stability equations, which are solved by GDQ method to obtain the critical mechanical buckling loads of the 2D-FG cylindrical shells. The effects of shell geometry, the mechanical properties distribution in radial and axial direction on the critical buckling load are studied and compared with a cylindrical shell made of 1D-FGM. The numerical results reveal that the 2D-FGM has a significant effect on the critical buckling load.

Sign in / Sign up

Export Citation Format

Share Document