On certain relations of the generalized theory of tapered shells subjected to finite deflection

1995 ◽  
Vol 31 (3) ◽  
pp. 201-206
Author(s):  
I. Yu. Khoma
Keyword(s):  
Finite Deflection

Finite Deflection of Tapered Cantilevers

1976 ◽  
Vol 102 (3) ◽  
pp. 549-552
Author(s):  
Gangan Prathap ◽  
Tirupathi Kumara Varadan
Keyword(s):  
Finite Deflection

Collapse of Thin Orthotropic Elliptical Cylindrical Shells Under Combined Bending and Pressure Loads

1979 ◽  
Vol 46 (2) ◽  
pp. 363-371 ◽  
Author(s):  
J. Spence ◽  
S. L. Toh
Keyword(s):  
Shell Theory ◽  
Nonlinear Boundary ◽  
Cylindrical Shells ◽  
Normal Pressure ◽  
Nonlinear Ordinary Differential Equations ◽  
Pure Bending ◽  
Finite Deflection ◽  
Shooting Technique ◽  
Theoretical Predictions ◽  
Thin Shell Theory

The elastic collapse of thin orthotropic elliptical cylindrical shells subject to pure bending alone or combined bending and uniform normal pressure loads has been studied. Nonlinear finite deflection thin shell theory is employed and this reduces the problem to a set of nonlinear ordinary differential equations. The resulting two-point nonlinear boundary-value problem is then linearized, using quasi-linearization, and solved numerically by the “shooting technique.” Some experimental work has been carried out and the results are compared with the theoretical predictions.

The Bending of a Long Strip Reinforced by Transverse Ribs

1965 ◽  
Vol 69 (650) ◽  
pp. 131-133
Author(s):  
G. G. Pope
Keyword(s):  
Middle Surface ◽  
Elastic Strip ◽  
Finite Deflection ◽  
Engineering Applications ◽  
Surface Stresses ◽  
Small Deflection ◽  
Cylindrical Form ◽  
Deflection Analysis ◽  
Anticlastic Curvature ◽  
Free Edges

When a long unreinforced flat elastic strip with free edges is bent to a uniform curvature about transverse axes in its own plane, anticlastic curvature is produced due to the influence of Poisson's ratio. Provided that the applied curvature is sufficiently small, the anticlastic curvature is constant across the strip and is proportional to the applied curvature. A finite deflection analysis shows, however, that the anticlastic deformation is reduced by the action of middle surface stresses, and the deformed strip approaches asymptotically a cylindrical form as the applied curvature is increased. Nevertheless, in some engineering applications it is necessary to limit the anticlastic deformation when the applied curvature is small, and for this purpose transverse ribs can be attached to the strip. In this note a small deflection analysis is given of the effect of uniformly spaced rigid ribs on the deformation of such a strip.

Effect of Imperfections on Buckling of Thin Cylinders Under External Pressure

1956 ◽  
Vol 23 (4) ◽  
pp. 569-575
Author(s):  
L. H. Donnell
Keyword(s):  
Axial Compression ◽  
External Pressure ◽  
Finite Deflection ◽  
Failure Loads ◽  
Deflection Theory

Abstract The buckling of thin cylinders under external pressure is studied by finite-deflection theory, assuming the same type of imperfections as had been assumed in a previous study of buckling under axial compression (3). Unlike the axial compression case only a small elastic postbuckling reduction in resistance is found, and this only for long cylinders. However, if reasonable imperfections are assumed, failure loads initiated by yielding are found to be of the same order as those indicated by experiments.

Closure to “Finite Deflection of Tapered Cantilevers”

1977 ◽  
Vol 103 (5) ◽  
pp. 993-994
Author(s):  
Gangan Prathap ◽  
Tirupathi Kumara Varadan
Keyword(s):  
Finite Deflection
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