On the Stability and Postbuckling Behavior of Shells With Corrugated Cross Sections Under External Pressure

2013 ◽  
Vol 81 (1) ◽  
Author(s):  
Nikolai P. Semenyuk ◽  
Alexandre I. Morenko ◽  
Michael J. A. Smith
Keyword(s):  
Cross Sections ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Normal System ◽  
Postbuckling Behavior ◽  
Discrete Orthogonalization ◽  
Discrete Orthogonalization Method ◽  
The Stability ◽  
Behavior Characteristics

The problem of determining the deformation of a longitudinally corrugated, long cylindrical shell under external pressure is considered. The topics that are covered can be summarized as follows: the formulation of a boundary value problem for the incremental approach as a normal system of differential equations under appropriate boundary conditions, the determination of postbuckling behavior characteristics for cylindrical shells using the discrete orthogonalization method, and an analysis of deformation for both closed and open cylindrical shells. In particular, we consider the stability and postbuckling behavior of both isotropic and composite shells. The solution is based on the relationships for the cubic version of nonlinear Timoshenko-type shell theory. A comparison is made with the well-established quadratic version, as well as analytical solutions where applicable. The necessity for using more precise equations to examine the postbuckling behavior of shells is shown. Using this higher-order approach, it is possible to determine the postbuckling behavior with much greater accuracy.

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.

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

On the stability of thin-walled, corrugated, circular cylindrical shells under external pressure

2008 ◽  
Vol 195 (1-4) ◽  
pp. 117-128 ◽  
Author(s):  
Heinz W. Bargmann
Keyword(s):  
Cylindrical Shells ◽  
External Pressure ◽  
Circular Cylindrical Shells ◽  
Thin Walled ◽  
The Stability

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.

scholarly journals Determination of critical stresses during prestressing along the entire length of a circular-cylindrical shell

2021 ◽  
Vol 262 ◽  
pp. 01030
Author(s):  
Takhir Chapaev ◽  
Nurilla Noraliev
Keyword(s):  
Circular Cylindrical Shell ◽  
Energy Criterion ◽  
External Pressure ◽  
Entire Length ◽  
Problem Solution ◽  
Friction Forces ◽  
Factors Affecting ◽  
Critical Stresses ◽  
The Stability

In the Russian Federation, there is an urgent issue of grain storage and processing to be resolved through the reconstruction of old and construction of new storage facilities. Currently, the most common construction is represented by steel granaries, erected by rolling using prestressing in shells. The relevance of the problem of stability of the wall of a granary, taking into account the main factors, affecting the strength, requires further theoretical and experimental study. One of the most frequently used in solving stability problems is the energy criterion in the form of Ritz-Timoshenko, which makes it possible to determine critical stresses in the shells. In this case, the problem solution becomes simpler, it is easier to consider the effect of such factors as initial perfection, friction forces between the shell and the winding, as well as other features of the stability problem of a prestressed shell. This article analyses the granary wall stability against lateral external pressure of prestressed winding or bandages. For large tanks, prestressing is generated along the entire length of the shell, and in vertical cylindrical granaries, prestressing is generated on a part of the length (height) of the shell.

Investigation of Reduction in Buckling Capacity of Cylindrical Shells Under External Pressure Due to Partially Cut Ring Stiffeners

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Snehankush Chikode ◽  
Nilesh Raykar
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Geometrical Parameters ◽  
Section Shape ◽  
Clear Guideline ◽  
Section Viii ◽  
Special Circumstances ◽  
Division 2

Circumferential ring stiffeners are commonly used to improve the buckling strength of cylindrical shells. Under special circumstances, stiffener ring needs to be partially cut in order to avoid interference with vessel attachments or surrounding structures. No clear guideline is available in rule-based method to deal with such case. This paper investigates the extent of reduction in buckling capacity for a range of cylindrical shell geometries with stiffener rings having different cross sections and different extents of circumferential cut. Finite-element (FE)-based analysis as per ASME Section VIII, Division 2, Part 5 has been employed to determine the permissible external pressure in each of the cases. Effects of ring cross section and extent of circumferential cut of stiffening ring on the maximum permissible external pressure have been presented. A total of 63 combinations of shell-stiffening ring configurations of different L/D, D/t ratios, cross section shape, and extent of cut have been investigated. Geometrical parameters for these combinations under study are so chosen that normal working range in industries is covered. The results obtained provide guidelines to design shells with partially cut stiffening rings.

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