Analog of the three-moment theorem in the theory of shells

1984 ◽  
Vol 20 (7) ◽  
pp. 645-649
Author(s):  
E. I. Mikhailovskii ◽  
V. L. Nikitenkov
Keyword(s):  
2021 ◽  
Author(s):  
Sergey A. Ambartsumian

1988 ◽  
Vol 110 (2) ◽  
pp. 215-217 ◽  
Author(s):  
A. V. Singh

An analytical procedure employing the general theory of shells of revolution and finite element method is presented to examine the stress patterns along the convolution of the pipeline expansion bellows under axial compression. A simple three-node axisymmetric shell element is used to compute axial and circumferential stress components. Three example problems which include two corrugated-pipe-type and one U-type bellows, have been analyzed. Comparison of the present numerical results with the experimentally procured data from the open literature illustrates the reliability, accuracy, elaborateness and versatility of this approach.


1972 ◽  
Vol 8 (5) ◽  
pp. 578-579
Author(s):  
V. T. Grinchenko ◽  
A. F. Ulitko

1950 ◽  
Vol 17 (4) ◽  
pp. 396-398
Author(s):  
W. R. Osgood ◽  
J. A. Joseph

Abstract In the general theory of shells expressions are obtained for the changes of curvature and the twist, and revisions are introduced in the equations of equilibrium.


1982 ◽  
Vol 26 (04) ◽  
pp. 286-295
Author(s):  
John C. Christodoulides ◽  
Joao G. de Oliveira

A yield criterion for thin orthotropic shells expressed in terms of generalized stresses is first derived. This yield criterion is based on the yield criterion proposed by Hill for anisotropic continua and it is consistent with all the assumptions usually adopted in the technical theory of shells. As an example of application of this criterion the collapse of perfectly plastic rectangular orthotropic plates subjected to a uniform lateral pressure is studied using the Theorems of Limit Analysis.


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