scholarly journals Buckling and post-buckling behaviour of shallow – nearly flat cylindrical panels under axial compression

2016 ◽  
Vol 64 (3) ◽  
pp. 655-658 ◽  
Author(s):  
E. Magnucka-Blandzi ◽  
K. Magnucki
Keyword(s):  
Differential Equations ◽  
Axial Compression ◽  
Nonlinear Theory ◽  
Cylindrical Shells ◽  
Critical Stresses ◽  
Cylindrical Panels ◽  
Post Buckling ◽  
Range Of Values

Abstract The paper is devoted to buckling problem of axially compressed shallow cylindrical panels. Governing differential equations of the nonlinear theory of shallow cylindrical shells are analytically solved. Critical stresses and equilibrium paths of the panels with small curvatures are analytically studied. The formula of the critical stresses for almost flat, cylindrical panels is derived. The “shallowness” of the panel is given by the parameter α and formulae are derived for a range of this parameter. The range of values of sectorial angle for these panels is also defined.

Post-buckling analysis of GPLs reinforced porous cylindrical shells under axial compression and hydrostatic pressure

2022 ◽  
Vol 172 ◽  
pp. 108834
Author(s):  
Guangxin Sun ◽  
Shengbo Zhu ◽  
Rumin Teng ◽  
Jiabin Sun ◽  
Zhenhuan Zhou ◽  
...  
Keyword(s):  
Hydrostatic Pressure ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Buckling Analysis ◽  
Post Buckling

Buckling and Post-Buckling Analysis of Geometrically Imperfect FGM Pin-Ended Tubes Surrounded by Nonlinear Elastic Medium Under Compressive and Thermal Loads

2019 ◽  
Vol 19 (08) ◽  
pp. 1950089 ◽  
Author(s):  
Hadi Babaei ◽  
Yaser Kiani ◽  
M. Reza Eslami
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Elastic Medium ◽  
Axial Compression ◽  
Thermal Loads ◽  
Linear Temperature ◽  
Nonlinear Elastic Medium ◽  
Different Types ◽  
Post Buckling ◽  
Nonlinear Elastic

The present study aims to analyze the buckling and post-buckling behavior of the geometrically imperfect functionally graded pin-ended tube. Imperfect FGM tube is surrounded by nonlinear elastic medium and is subjected to the axial compression or various thermal loads. Pinned-pinned boundary conditions are movable or immovable for the FGM tube under axial compression or thermal loads, respectively. In thermal analysis, different types of thermal loads such as uniform temperature rise, linear temperature distribution, and heat conduction are analyzed and contrasted. Displacement field of the FGM tube satisfies the tangential traction-free boundary conditions on the inner and outer surfaces. Properties of the FGM tube are assumed to be temperature-dependent and are distributed through the radial direction of tube using a power law function. The governing equilibrium equations of the FGM tube are obtained by means of the virtual displacement principle. These are nonlinear coupled differential equations based on a higher order shear deformation tube theory and the von Kármán nonlinear assumption. The coupled nonlinear dimensionless differential equations are solved using the two-step perturbation method. These asymptotic solutions are as explicit functions of the axial compression or different types of thermal load. Numerical results are provided to explore the effects of the linear and nonlinear spring stiffness of elastic medium and imperfection parameter of the tube. The effects of the volume fraction index and two geometrical parameters of the FGM tube are also included.

Post-Buckling Analyses of Elastic Circular Cylindrical Shells Under Axial Compression

2005 ◽  
Author(s):  
Takaya Kobayashi ◽  
Tomotaka Ogasawara
Keyword(s):  
Critical Load ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Stable State ◽  
General Purpose ◽  
Ideal Condition ◽  
Arc Length ◽  
Artificial Damping ◽  
Post Buckling ◽  
Circular Cylindrical Shells

In the design of a modern lightweight structure, it is of technical importance to assure its safety against the buckling under the applied loading conditions. For this issue, the determination of the critical load in an ideal condition is not sufficient, but it is further required to clarify the post-buckling behavior, that is, the behavior of the structure after passing through the critical load. One of the reasons is to estimate the effect of practically unavoidable imperfections on the critical load and the second is to evaluate the ultimate strength to exploit the load-carrying capacity of the structure. For the buckling problem of circular cylindrical shells under axial compression, a number of experimental and theoretical studies have been made by many researchers. In the case of the very thin shell that exhibits elastic buckling, experimental results show that after the primary buckling, secondary buckling takes place accompanying successive reductions in the number of the circumferential waves in each mode change on one-by-one step. In this paper we traced this successive buckling of circular cylindrical shells using some of the general purpose implicit FEM codes currently available. For geometrically nonlinear static problems including buckling and post-buckling, we carried out our studies with two approaches; one is to use the arc length method (the modified Riks method), and the other is stabilizing with the aid of (artificial) damping especially for the local instability. Our analysis procedure consists of the following 2 steps. Before reaching the point exhibiting the comparatively stable state after the primary buckling, the arc length method is applied. After that point, the artificial damping is applied. The results simulate unstable successive buckling and show good agreement with experiments.

scholarly journals Post-buckling analysis of functionally graded multilayer graphene platelet reinforced composite cylindrical shells under axial compression

2020 ◽  
Vol 476 (2243) ◽  
pp. 20200506
Author(s):  
Jiabin Sun ◽  
Shengbo Zhu ◽  
Zhenzhen Tong ◽  
Zhenhuan Zhou ◽  
Xinsheng Xu
Keyword(s):  
Axial Compression ◽  
Cylindrical Shells ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Multilayer Graphene ◽  
Response Curves ◽  
Reinforced Composite ◽  
Wide Range ◽  
Post Buckling ◽  
Composite Cylindrical Shells

Axially compressed composite cylindrical shells can attain multiple bifurcation points in their post-buckling procedure because of the natural transverse deformation restraint provided by their geometry. In this paper, the post-buckling analysis of functionally graded (FG) multilayer graphene platelets reinforced composite (GPLRC) cylindrical shells under axial compression is carried out to investigate the stability of such shells. Rather than the critical buckling limit, the focus of the present study is to obtain convergence post-buckling response curves of axially compressed FG multilayer GPLRC cylindrical shells. By introducing a unified shell theory, the nonlinear large deflection governing equations for post-buckling of FG multilayer GPLRC cylindrical shells with wide range of thickness are established, which can be easily changed into three widely used shell theories. Load-shortening curves for both symmetric and asymmetric post-buckling modes are obtained by Galerkin's method. Numerical results illustrate that the present solutions agree well with the existing theoretical and experimental data. The effects of geometries and material properties on the post-buckling behaviours of FG multilayer GPLRC cylindrical shells are investigated. The differences in the three shell theories and their scopes are discussed also.

Buckling Behavior of Elliptical Shells of Changing Thickness under Uniform Axial Compression

2013 ◽  
Vol 351-352 ◽  
pp. 492-496 ◽  
Author(s):  
Li Wan ◽  
Lei Chen
Keyword(s):  
Axial Compression ◽  
Cylindrical Shells ◽  
Imperfection Sensitivity ◽  
Buckling Mode ◽  
Buckling Strength ◽  
Shell Buckling ◽  
Buckling Behavior ◽  
Structural Applications ◽  
Post Buckling ◽  
Shell Geometry

Many elliptical shells are used in structural applications in which the dominant loading condition is axial compression. Due to the fact that the radius varies along the cross-section midline, the buckling behavior is more difficult to identify than those of cylindrical shells. The general concerned aspects in cylindrical shell buckling analyses such as the buckling mode, the pre-buckling deformation and post-buckling deformation are all quite different related to specific elliptical shell geometry. The buckling behavior of elliptical cylindrical shells with uniform thickness has been widely studied by many researchers. However, the thickness around the circumference may change for some specific structural forms, the femoral neck for example, which makes the buckling behavior more complex. It is known that the buckling strength of thin cylindrical shells is quite sensitive to imperfections, so it is natural to explore the imperfection sensitivity of elliptical shells. This paper explores the buckling behavior of imperfect elliptical shells under axial compression. It is hoped that the results will make a useful contribution in this field.

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