STABILITY OF AN INFINITELY LONG CYLINDRICAL SHELL LOADED WITH EXTERNAL PRESSURE CREATED BY A RIGID EXTERNAL ENVIRONMENT

2021 ◽  
Vol 56 (4) ◽  
pp. 513-522
Author(s):  
V. V. Vasiliev ◽  
V. A. Salov
Keyword(s):  
Cylindrical Shell ◽  
External Environment ◽  
External Pressure ◽  
Long Cylindrical Shell

The Effect of Finite Pressure-Pulse Duration on the Uniform Deformation of a Long Cylindrical Shell

1965 ◽  
Vol 32 (2) ◽  
pp. 331-336 ◽  
Author(s):  
William Nachbar
Keyword(s):  
Cylindrical Shell ◽  
Pulse Duration ◽  
External Pressure ◽  
Maximum Displacement ◽  
Dirac Delta ◽  
Plastic Regime ◽  
Duration Time ◽  
Rate Of Increase ◽  
Total Impulse ◽  
Long Cylindrical Shell

A long cylindrical shell without end loads or restraints is considered to be loaded uniformly by external pressure applied as a rectangular-shaped pulse in time. It is assumed that the shell material is elastic and perfectly plastic, that the material points in the shell are displaced only in the radial direction, and that all points on the middle surface of the shell have the same motion in time. This paper investigates the total impulse which must be delivered to the shell in order to bring the inward radial displacement to a prescribed maximum value. The impulse needed to cause the prescribed displacement is calculated as a function of pulse-duration time and compared with the impulse for zero-pulse-duration time, which is calculated using the Dirac delta function. The ratio, a function of maximum displacement and pulse-duration time, always increases with increasing pulse-duration time, but the rate of increase is relatively less severe for more ductile materials. The duration of the plastic regime is also calculated, since this affects the growth of buckling displacements according to the analysis of Abrahamson and Goodier.2 It is found that, for a given total impulse, the plastic-regime duration time decreases with increasing pulse-duration time. Thus, buckling would be most severe for the shortest pulse-duration time.

scholarly journals On the elastoplastic stability problem of the thin round cylindrical shells subjected to complex loading processes with the various kinematic boundary conditions

2004 ◽  
Vol 26 (1) ◽  
pp. 11-22
Author(s):  
Dao Van Dung
Keyword(s):  
Cylindrical Shell ◽  
Boundary Conditions ◽  
Stability Problem ◽  
Cylindrical Shells ◽  
Complex Loading ◽  
External Pressure ◽  
Sufficient Condition ◽  
Compression Force ◽  
Simply Supported ◽  
Long Cylindrical Shell

In this paper, the elastoplastic stability of cylindrical shells simultaneously subjected to compression force along the generatrix and external pressure has been presented. Two types of considered kinematic boundary conditions are simply supported and clamped at the butt-ends. The expressions for determining the critical forces by using the Bubnov-Galerkin method [3] have been established. The sufficient condition of extremum for a long cylindrical shell also is considered. Some results of numerical calculation have been also given and discussed.

Dynamic Stability of a Cylindrical Shell under Alternating Axial External Pressure

2017 ◽  
Vol 60 (4) ◽  
pp. 508-513 ◽  
Author(s):  
V. N. Bakulin ◽  
E. N. Volkov ◽  
A. I. Simonov
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Stability ◽  
External Pressure

Limit Analysis for Combined Edge and Pressure Loading on a Cylindrical Shell

1971 ◽  
Vol 93 (4) ◽  
pp. 998-1006
Author(s):  
H. S. Ho ◽  
D. P. Updike
Keyword(s):  
Cylindrical Shell ◽  
Velocity Field ◽  
Axial Force ◽  
Shear Force ◽  
Circular Cylindrical Shell ◽  
Yield Condition ◽  
External Pressure ◽  
Tresca Yield Condition ◽  
Stress States ◽  
Range Of Values

Equations describing the stress field and velocity field occurring in a circular cylindrical shell at plastic collapse are derived corresponding to stress states lying on each face of a yield surface for a uniform shell of material obeying the Tresca yield condition. They are then applied to the case of a shell under combined axisymmetric loadings (moment, shear force, and axial force) at one end and uniform internal or external pressure on the lateral surface. For a sufficiently long shell, complete solutions are obtained for a fixed far end, and for a certain range of values of axial force and pressure, they are obtained for a free far end. All the solutions are represented by either closed form or by quadratures. It is shown that in many cases the radial velocity field is proportional to the shear force.

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