Practical approach to plastic collapse of conical shells under axial compression

2021 ◽  
Vol 159 ◽  
pp. 107316
Author(s):  
Ainara Pradera-Mallabiabarrena ◽  
Aitziber Lopez-Arancibia ◽  
Sergio Ruiz de Galarreta ◽  
Aimar Insausti
Keyword(s):  
Axial Compression ◽  
Practical Approach ◽  
Plastic Collapse ◽  
Conical Shells

Plastic Collapse of Steep Conical Shells under Axial Compression

1972 ◽  
Vol 1 (3) ◽  
pp. 121-128 ◽  
Author(s):  
H. Ramsey
Keyword(s):  
Axial Compression ◽  
Kinematic Hardening ◽  
Yield Condition ◽  
Experimental Results ◽  
Plastic Collapse ◽  
Conical Shells ◽  
Plastic Behaviour ◽  
Perfectly Plastic ◽  
Collapse Mode ◽  
Axisymmetric Plastic

Analysis and experimental results are presented for two axisymmetric plastic collapse modes in steep, truncated conical shells under axial compression. The two collapse modes are strongly dependent on cone height and the boundary conditions. One collapse mode, which consists of flaring of the large end of the cone, can be analyzed satisfactorily on the basis of rigid-perfectly plastic behaviour. The Tresca sandwich-shell yield condition is used and close agreement is obtained with the experimental results. The other collapse mode is a local bulging of the small end. It is shown in the analysis that perfectly plastic behaviour cannot account for this collapse mode. Consideration of kinematic-hardening leads to a pseudo-elastic analysis of a uniform shell. The observed deformation is found to be due to buckling of the Shanley type. Rayleigh’s method is employed to obtain an estimate of a length parameter which characterizes the critical condition for buckling. Agreement with the experimental results is not very satisfactory, probably because a constant value for the tangent modulus was assumed.

Low Buckling Loads of Axially Compressed Conical Shells

1970 ◽  
Vol 37 (2) ◽  
pp. 384-392 ◽  
Author(s):  
M. Baruch ◽  
O. Harari ◽  
J. Singer
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Plane Boundary ◽  
Essential Difference ◽  
Physical Reason ◽  
Buckling Loads ◽  
Conical Shells ◽  
Simple Supports ◽  
Interaction Curves ◽  
The Stability

The stability of simply supported conical shells under axial compression is investigated for 4 different sets of in-plane boundary conditions with a linear Donnell-type theory. The first two stability equations are solved by the assumed displacement, while the third is solved by a Galerkin procedure. The boundary conditions are satisfied with 4 unknown coefficients in the expression for u and v. Both circumferential and axial restraints are found to be of primary importance. Buckling loads about half the “classical” ones are obtained for all but the stiffest simple supports SS4 (v = u = 0). Except for short shells, the effects do not depend on the length of the shell. The physical reason for the low buckling loads in the SS3 case is explained and the essential difference between cylinder and cone in this case is discussed. Buckling under combined axial compression and external or internal pressure is studied and interaction curves have been calculated for the 4 sets of in-plane boundary conditions.

scholarly journals Optimization of welded conical shells for axial compression and bending

2014 ◽  
Vol 59 (3) ◽  
pp. 401-406
Author(s):  
Károly Jármai ◽  
József Farkas
Keyword(s):  
Axial Compression ◽  
Conical Shells

scholarly journals Instability of Conical Shells with Multiple Dimples under Axial Compression

2020 ◽  
Vol 8 (5) ◽  
pp. 1022-1027 ◽  
Keyword(s):  
Axial Compression ◽  
Conical Shell ◽  
Numerical Data ◽  
Test Results ◽  
Conical Shells ◽  
Numerical Predictions ◽  
Test Models ◽  
Buckling Behavior ◽  
Shell Models ◽  
Load Carrying

Thin-walled conical shells are primary structures in offshore application. Presence of imperfection can considerably reduce the load carrying capacity of such structures when in use. This study examines the buckling behavior of axially compressed imperfect steel cones using the multiple perturbation load analysis (MPLA). This is both a numerical and experimental study. Eight conical shell test models were manufactured in pairs and collapsed under axial compression: two perfect, and the remaining six with MPLA imperfection amplitude, A, of 0.56, 1.12 and 1.68 having two equally-spaced dimples on each cones. Experimental test results for all the conical shell models and the accompanying numerical predictions are given in this paper. Repeatability of experimental data was good. The errors within each pair were 3%, 13%, 1% and 0%. In addition, there was a good comparison between experimental and numerical data. The ratio of experimental to numerical buckling loads varies from 0.91 to 1.13.

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