Post-buckling Behavior of Non-shallow Thin-walled Cylindrical Shells

ABSTRACTUsing conventional virtual work method to derive geometric stiffness of a thin-walled beam element, researchers usually have to deal with nonlinear strains with high order terms and the induced moments caused by cross sectional stress results under rotations. To simplify the laborious procedure, this study decomposes an I-beam element into three narrow beam components in conjunction with geometrical hypothesis of rigid cross section. Then let us adopt Yanget al.'s simplified geometric stiffness matrix [kg]12×12of a rigid beam element as the basis of geometric stiffness of a narrow beam element. Finally, we can use rigid beam assemblage and stiffness transformation procedure to derivate the geometric stiffness matrix [kg]14×14of an I-beam element, in which two nodal warping deformations are included. From the derived [kg]14×14matrix, it can take into account the nature of various rotational moments, such as semi-tangential (ST) property for St. Venant torque and quasi-tangential (QT) property for both bending moment and warping torque. The applicability of the proposed [kg]14×14matrix to buckling problem and geometric nonlinear analysis of loaded I-shaped beam structures will be verified and compared with the results presented in existing literatures. Moreover, the post-buckling behavior of a centrally-load web-tapered I-beam with warping restraints will be investigated as well.

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Post-buckling behavior of cold-formed thin-walled stainless steel beams

Computers & Structures ◽

10.1016/0045-7949(73)90058-8 ◽

1973 ◽

Vol 3 (4) ◽

pp. 785-800 ◽

Cited By ~ 2

Author(s):

Shien T. Wang

Keyword(s):

Stainless Steel ◽

Steel Beams ◽

Buckling Behavior ◽

Post Buckling ◽

Thin Walled

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Buckling and post-buckling behavior of various dented cylindrical shells using CFRP strips subjected to uniform external pressure: Comparison of theoretical and experimental data

Thin-Walled Structures ◽

10.1016/j.tws.2018.12.042 ◽

2019 ◽

Vol 137 ◽

pp. 29-39 ◽

Cited By ~ 14

Author(s):

Mahyar Maali ◽

Mahmut Kılıç ◽

Zeynep Yaman ◽

Elif Ağcakoca ◽

Abdulkadir Cüneyt Aydın

Keyword(s):

Experimental Data ◽

Cylindrical Shells ◽

External Pressure ◽

Uniform External Pressure ◽

Buckling Behavior ◽

Post Buckling

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Influence of Crack on the Instability of GFRP Composite Cylindrical Shells under Combined Loading

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.877.453 ◽

2018 ◽

Vol 877 ◽

pp. 453-459

Author(s):

B. Angelina Catherine ◽

R.S. Priyadarsini

Keyword(s):

Structural Integrity ◽

Cylindrical Shells ◽

Laminated Composite ◽

External Pressure ◽

Industrial Applications ◽

Combined Loading ◽

Finite Element Software ◽

Buckling Behavior ◽

Thin Walled ◽

Composite Cylindrical Shells

Buckling is a prominent condition of instability caused to a shell structure as a result of axial loadings. The process of buckling becomes more complex while analyzing thin walled structures like shells. Today such thin walled laminated composite shells are gaining more importance in many defense and industrial applications since they have greater structural efficiency and performance in relation to isotropic structures. Comprehensive understanding of the buckling response of shell structures is necessary to assure the integrity of these shells during their service life. The presence of defects, such as cracks, may severely compromise their buckling behavior and jeopardize the structural integrity. This work aims in conducting numerical analysis of cracked GFRP (Glass fibre-reinforced polymer) composite cylindrical shells under combined loading to study the effect of crack size on the buckling behavior of laminated composite cylindrical shells with different lay-up sequences. The numerical analyses were carried out using the finite element software, ABAQUS in order to predict the buckling behaviour of cracked laminated composite cylinders subject to different combinations of axial compression, torsion, internal pressure and external pressure from the interaction buckling curves.

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The Impact of 3D Printing Parameters on the Post-Buckling Behavior of Thin-Walled Structures

Materials ◽

10.3390/ma13214742 ◽

2020 ◽

Vol 13 (21) ◽

pp. 4742

Author(s):

Tomasz Kopecki ◽

Przemysław Mazurek ◽

Łukasz Święch

Keyword(s):

3D Printing ◽

Numerical Solutions ◽

Structure Mapping ◽

Thin Walled Structures ◽

Buckling Behavior ◽

Post Buckling ◽

Thin Walled ◽

The Impact ◽

Printing Direction ◽

Bearing Structure

This study presents the results of experimental research and numerical calculations regarding models of a typical torsion box fragment, which is a common thin-walled load-bearing structure used in aviation technology. A fragment of this structure corresponding to the spar wall was made using 3D printing. The examined system was subjected to twisting and underwent post-critical deformation. The research was aimed at determining the influence of the printing direction of the structure’s individual layers on the system stiffness. The experimental phase was supplemented by nonlinear numerical analyses of the models of the studied systems, taking into account the details of the structure mapping using the laminate concept. The purpose of the calculations was to determine the usefulness of the adopted method for modeling the examined structures by assessing the compliance of numerical solutions with the results of the experiment.

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