An Analytical Buckling Load Formula for a Cylindrical Shell Subjected to Local Axial Compression

2021 ◽  
Author(s):  
Licai Yang ◽  
Yuguang Li ◽  
Tian Qiu ◽  
Yuanyuan Dong ◽  
Shanglin Zhang
Keyword(s):  
Cylindrical Shell ◽  
Galerkin Method ◽  
Axial Compression ◽  
Analytical Formula ◽  
Local Buckling ◽  
Pressure Vessels ◽  
Buckling Load ◽  
Perfect Agreement ◽  
Buckling Modes ◽  
The Galerkin Method

Abstract This paper proposes an analytical buckling load formula for a cylindrical shell subjected to local axial compression for the first time, which is achieved by a carefully constructed load description and perturbation procedure. Local axial load is described by introducing an arctangent function firstly. Then, the analytical solutions of local buckling load coefficients and buckling modes for a locally compressed shell are derived after solving governing differential equations by the perturbation method. For validation, using the presented analytical buckling modes, the Galerkin method is applied to obtain numerical result, which is an infinite order determinant about local buckling load coefficient. Comparative calculation results show that local buckling load coefficients by the analytical formula are in perfect agreement with numerical ones by the Galerkin method and known results in literature. Therefore, the validity and accuracy of the presented formula are verified. Engineering application of the analytical formula is also discussed to evaluate local buckling loads of thin-walled cylindrical shell structures such as silos, pressure vessels, large storage tanks and so on.

Collapse of Tubes Under Combined Bending and Axial Compression Loads

2018 ◽  
Author(s):  
Shan Jin ◽  
Shuai Yuan ◽  
Yong Bai
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Axial Compression ◽  
Local Buckling ◽  
Practical Application ◽  
Buckling Modes ◽  
Combined Loads ◽  
Bending Loads ◽  
Good Agreement

In practical application, pipelines will inevitably experience bending and compression during manufacture, transportation and offshore installation. The mechanical behavior of tubes under combined axial compression and bending loads is investigated using experiments and finite element method in this paper. Tubes with D/t ratios in the range of 40 and 97 are adopted in the experiments. Then, the ultimate loads and the local buckling modes of tubes are studied. The commercial software ABAQUS is used to build FE models to simulate the load-shortening responses of tubes under combined loads. The results acquired from the ABAQUS simulation are compared with the ones from verification bending experiment, which are in good agreement with each other. The models in this paper are feasible to analyze the mechanical properties of tubes under combined axial compression and bending loads. The related results may be of interest to the manufacture engineers.

scholarly journals Axial Compression Buckling of Castellated Columns at Elevated Temperatures

2017 ◽  
Vol 17 (03) ◽  
pp. 1750034 ◽  
Author(s):  
Jin-Song Lei ◽  
Wei-Bin Yuan ◽  
Long-Yuan Li
Keyword(s):  
Temperature Distribution ◽  
Axial Compression ◽  
Elevated Temperatures ◽  
Analytical Formula ◽  
Buckling Load ◽  
Shear Effect ◽  
Uniform Temperature ◽  
Web Openings ◽  
Critical Buckling Load ◽  
Uniform Temperature Distribution

In this paper, the axial compression buckling problem of castellated columns about the major axis when exposed to a fire is investigated. An analytical formula for calculating the critical buckling load of castellated columns is derived, which considers not only the shear deformation effect of web openings but also the non-uniform cross-section temperature distribution due to non-symmetric fire exposure. The results show that for the same average temperature, the critical buckling load of a castellated column with non-uniform temperature distribution is smaller than that of a castellated column with uniform temperature distribution. The web shear effect caused due to web openings can significantly reduce the critical buckling load of the castellated column, particularly for the columns with shorter lengths or wider flanges. However, the change of the shear effect on the critical load with different temperature distributions is very small and can be generally ignored.

scholarly journals Axial force effect on the buckling of a constrained cylindrical shell

2019 ◽  
Author(s):  
A.V. Egorov ◽  
V.N. Egorov
Keyword(s):  
High Pressure ◽  
Cylindrical Shell ◽  
Axial Force ◽  
Composite Shell ◽  
Local Buckling ◽  
Front Surface ◽  
Cylindrical Part ◽  
Pressure Vessels ◽  
Metal Composite ◽  
Axial Forces

The article considers a constrained cylindrical shell structure. It is a two-ply cylinder in which the inner metal shell (liner) contacts on the outer front surface with a composite shell formed by wound carbon-fibre tape. The design model of this structure is used, among other things, for metal composite cylindrical high pressure vessels. When such vessels are in use, there is a danger of liner delamination from a rigid composite shell, which refers to prohibitive defects. The deformation of the liner in the central part of the vessel occurs under the influence of internal pressure applied to both the cylindrical part and to the bottoms from which axial forces appear. The present work is aimed at studying the effect of these axial forces on the local buckling of the liner in the cylindrical zone of the vessel. The model of the structure deformation includes technological deviations characteristic of real products and a 3D stress-strain state, changing in real time. The calculation was carried out in the LS-DYNA software package in a dynamic formulation using 3D solid elements. For the target level of pressure, the moments of delamination of the vessel and the buckling of the liner are determined. A comparison of two design schemes (i) with and (ii) without axial force taken into consideration is carried out. The necessity of taking into account axial forces when designing metal composite high pressure vessels is shown.

scholarly journals Dynamic Behavior of a Cylindrical Shell with a Liquid under the Action of Nonstationary Pressure Wave

TEM Journal ◽  
2021 ◽  
pp. 815-819
Author(s):  
Boris A. Antufev ◽  
Vasiliy N. Dobryanskiy ◽  
Olga V. Egorova ◽  
Eduard I. Starovoitov
Keyword(s):  
Cylindrical Shell ◽  
Galerkin Method ◽  
Pressure Wave ◽  
Moving Load ◽  
Algebraic Equations ◽  
Thin Cylindrical Shell ◽  
Incompressibility Condition ◽  
Nonlinear Algebraic Equations ◽  
Deformed State ◽  
The Galerkin Method

The problem of axisymmetric hydroelastic deformation of a thin cylindrical shell containing a liquid under the action of a moving load is approximately solved. It is reduced to the equation of bending of the shell and the condition of incompressibility of the liquid in the cylinder. The deflections of the shell and the level of lowering of the liquid are unknown. For solution, the Galerkin method is used and the problem is reduced to a system of nonlinear algebraic equations. A simpler solution is considered without taking into account the incompressibility condition. Here, in addition to the deformed state of the shell, the critical speeds of the moving load are determined analytically.

A Theorem on Buckling and Structural Stiffness

1965 ◽  
Vol 9 (02) ◽  
pp. 9-10
Author(s):  
William P. Vafakos
Keyword(s):  
Cylindrical Shell ◽  
Axial Compression ◽  
Circular Cylindrical Shell ◽  
Sufficient Conditions ◽  
Buckling Load ◽  
Structural Stiffness ◽  
Axisymmetric Buckling

Sufficient conditions are presented under which an increase (decrease) of the flexural, torsional, or extensional stiffness in any part of a structure cannot result in a decrease (increase) of the classical buckling load. A problem of axisymmetric buckling of a ringstiffened circular cylindrical shell under axial compression is considered for illustration.

Experiment on T-Shaped CFT Stub Columns with Binding Bars Subjected to Axial Compression

2013 ◽  
Vol 838-841 ◽  
pp. 439-443 ◽  
Author(s):  
Zhi Liang Zuo ◽  
Da Xin Liu ◽  
Jian Cai ◽  
Chun Yang ◽  
Qing Jun Chen
Keyword(s):  
Bearing Capacity ◽  
Axial Compression ◽  
Failure Modes ◽  
Local Buckling ◽  
Steel Tube ◽  
Steel Plates ◽  
Buckling Modes ◽  
Cft Column ◽  
Stub Columns ◽  
Strength And Ductility

To improve the mechanical behavior of T-shaped concrete-filled steel tubular (T-CFT) column, the method that setting binding bars along the height of steel tube is proposed. Five T-CFT stub columns with binding bars and another two without binding bars subjected to axial compression were tested. The influences of the spacing and diameter of binding bars on the failure modes, maximum strength, and ductility of T-CFT stub columns are investigated. The experimental results demonstrate that by setting binding bars or decreasing the spacing of binding bars, the buckling modes of the steel plates are changed, the local buckling of the steel plates is postponed, and the confinement effects on the core concrete can be improved significantly. By setting binding bars, the bearing capacity and ductility of the columns are enhanced by 1.17 and 3.38 times at most, respectively. By increasing the diameter of binding bars, the ductility of the columns is improved, but the bearing capacity and buckling strength cannot be improved when the diameter is large enough.

scholarly journals Ultimate Load-Carrying Ability of Rib-Stiffened 2024-T3 and 7075-T6 Aluminium Alloy Panels under Axial Compression

Materials ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1176
Author(s):  
Ján Slota ◽  
Andrzej Kubit ◽  
Tomasz Trzepieciński ◽  
Bogdan Krasowski ◽  
Ján Varga
Keyword(s):  
Axial Compression ◽  
Single Point ◽  
Local Buckling ◽  
Image Correlation ◽  
Structural Elements ◽  
Compression Tests ◽  
Buckling Modes ◽  
Stiffened Panels ◽  
Load Carrying ◽  
Different Thickness

Stringer-stiffened panels made of aluminium alloys are often used as structural elements in the aircraft industry. The load-carrying capacity of this type of structure cannot relieve the reduction in strength in the event of local buckling. In this paper, a method of fabrication of rib-stiffened panels made of EN AW-2024-T3 Alclad and EN AW-7075-T6 Alclad has been proposed using single point incremental forming. Panels made of sheets of different thickness and with different values of forming parameters were tested under the axial compression test. A digital image correlation (DIC)-based system was used to find the distribution of strain in the panels. The results of the axial compression tests revealed that the panels had two distinct buckling modes: (i) The panels buckled halfway up the panel height towards the rib, without any appreciable loss of rib stability, and (ii) the rib first lost stability at half its height with associated breakage, and then the panel was deflected in the opposite direction to the position of the rib. Different buckling modes can be associated with the character of transverse and longitudinal springback of panels resulting from local interaction of the rotating tool on the surface of the formed ribs.

scholarly journals Applicability of the Vibration Correlation Technique for Estimation of the Buckling Load in Axial Compression of Cylindrical Isotropic Shells with and without Circular Cutouts

2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Eduards Skukis ◽  
Olgerts Ozolins ◽  
Janis Andersons ◽  
Kaspars Kalnins ◽  
Mariano A. Arbelo
Keyword(s):  
Nondestructive Evaluation ◽  
Failure Mode ◽  
Axial Compression ◽  
Laser Scanner ◽  
Local Buckling ◽  
Bond Line ◽  
Buckling Load ◽  
Reliable Estimate ◽  
Correlation Technique ◽  
Shell Geometry

Applicability of the vibration correlation technique (VCT) for nondestructive evaluation of the axial buckling load is considered. Thin-walled cylindrical shells with and without circular cutouts have been produced by adhesive overlap bonding from a sheet of aluminium alloy. Both mid-surface and bond-line imperfections of initial shell geometry have been characterized by a laser scanner. Vibration response of shells under axial compression has been monitored to experimentally determine the variation of the first eigenfrequency as a function of applied load. It is demonstrated that VCT provides reliable estimate of buckling load when structure has been loaded up to at least 60% of the critical load. This applies to uncut structures where global failure mode is governing collapse of the structure. By contrast, a local buckling in the vicinity of a cutout could not be predicted by VCT means. Nevertheless, it has been demonstrated that certain reinforcement around cutout may enable the global failure mode and corresponding reliability of VCT estimation.

Effects of Elastic Supports on the Buckling of Circular Cylindrical Shells Under Bending

1980 ◽  
Vol 47 (4) ◽  
pp. 866-870 ◽  
Author(s):  
T. Yabuta
Keyword(s):  
Galerkin Method ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Elastic Support ◽  
Spring Constant ◽  
Elastic Supports ◽  
Circular Cylindrical Shells ◽  
The Galerkin Method

This paper presents the effects of elastic supports on the buckling of circular cylindrical shells under bending. Stability was investigated using Donnell’s equation and the Galerkin method, including the spring constant of the elastic support. The results of this investigation indicate that the effects are similar in the cases of bending and axial compression.

The Application of the Galerkin Method to the Solution of the Symmetric and Balanced Counterflow Regenerator Problem

1985 ◽  
Vol 107 (1) ◽  
pp. 214-221 ◽  
Author(s):  
B. S. Baclic
Keyword(s):  
Galerkin Method ◽  
Space Variable ◽  
Analytical Formula ◽  
Algebraic Equations ◽  
Higher Order Terms ◽  
The Matrix ◽  
Expansion Coefficients ◽  
The Galerkin Method ◽  
Analytical Expressions

The Galerkin method is applied to solve the symmetric and balanced counterflow thermal regenerator problem. In this approach, the integral equation, expressing the reversal condition in periodic equilibrium of regenerator matrix, is transformed into a set of algebraic equations for the determination of the expansion coefficients associated with the representation of the matrix temperature distribution at the start of cold period in a power series in the space variable. The method is easy and straightforward to apply and leads to the explict analytical expressions for expansion coefficients. As explicit analytical formula for regenerator effectiveness is derived and the corresponding numerical values are computed. An excellent agreement is found between the present results and those reported in the literature by different numerical methods. The convergence towards the exact results by carrying out the computations to higher order terms, as well as the extension of this method to the more general counterflow regenerator problem is discussed.

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