scholarly journals STRESS AND DEFORMATIONS IN TOROIDAL SHELLS WITH ELLIPTICAL TRANSVERSAL SECTION

2019 ◽  
Vol 25 (4) ◽  
pp. 19-28
Author(s):  
RADU IATAN ◽  
GHEORGHIŢA TOMESCU ◽  
ION DURBACĂ
Keyword(s):  
Internal Pressure ◽  
Cross Section ◽  
Working Environment ◽  
Elastic State ◽  
Shell Material ◽  
Elliptical Cross ◽  
Transversal Section ◽  
Stress And Deformation ◽  
External Loads ◽  
Toroidal Shells

The article approaches the analysis of stress and deformation states; in thetoroidal shell with the elliptical cross section with two specific positions, relative to the axisof symmetry. The internal pressure of a working environment as well as the effect of itstemperature are considered external loads. The two effects may overlap taking into accountthe elastic state of the shell material.

scholarly journals STRESS AND DEFORMATIONS IN TOROIDAL SHELLS WITH ELLIPTICAL TRANSVERSAL SECTION

2019 ◽  
Vol 25 (4) ◽  
Author(s):  
RADU IATAN ◽  
GHEORGHIŢA TOMESCU ◽  
ION DURBACĂ
Keyword(s):  
Cross Section ◽  
Working Environment ◽  
Toroidal Shell ◽  
Elastic State ◽  
Shell Material ◽  
Elliptical Cross ◽  
Transversal Section ◽  
Axis Of Symmetry ◽  
Stress And Deformation ◽  
External Loads

<p>The article approaches the analysis of stress and deformation states; in the toroidal shell with the elliptical cross section with two specific positions, relative to the axis of symmetry. The internal pressure of a working environment as well as the effect of its temperature are considered external loads. The two effects may overlap taking into account the elastic state of the shell material.</p>

Stresses and Deformations of Toroidal Shells of Elliptical Cross Section: With Applications to the Problems of Bending of Curved Tubes and of the Bourdon Gage

1952 ◽  
Vol 19 (1) ◽  
pp. 37-48
Author(s):  
R. A. Clark ◽  
T. I. Gilroy ◽  
E. Reissner
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Practical Interest ◽  
Closed Shell ◽  
Open Shell ◽  
Elliptical Cross Section ◽  
Axially Symmetric ◽  
Elliptical Cross ◽  
Two Parameters ◽  
Toroidal Shells

Abstract This paper is concerned with the application of the theory of thin shells to several problems for toroidal shells with elliptical cross section. These problems are as follows: (a) Closed shell subjected to uniform normal wall pressure. (b) Open shell subjected to end bending moments. (c) Combination of the results for the first and second problems in such a way as to obtain results for the stresses and deformations in Bourdon tubes. In all three problems the distribution of stresses is axially symmetric but only in the first problem are the displacements axially symmetric. The magnitude of stresses and deformations for given loads depends in all three problems on the magnitude of the two parameters bc/ah and b/c where b and c are the semiaxes of the elliptical section, a is the distance of the center of the section from the axis of revolution, and h is the thickness of the wall of the shell. For sufficiently small values of bc/ah trigonometric series solutions are obtained. For sufficiently large values of bc/ah asymptotic solutions are obtained. Numerical results are given for various quantities of practical interest as a function of bc/ah for the values 2, 1, 1/2, 1/4 of the semiaxes ratio b/c. It is suggested that the analysis be extended to still smaller values of b/c and to cross sections other than elliptical.

The Research of High Internal Pressure Forming Process of Variable Cross-Section Elliptical Tube

2014 ◽  
Vol 960-961 ◽  
pp. 52-56
Author(s):  
Jin Tao Wang ◽  
Jian Li
Keyword(s):  
Finite Element ◽  
Internal Pressure ◽  
Cross Section ◽  
Equivalent Stress ◽  
Variable Cross ◽  
Distribution Law ◽  
Forming Process ◽  
Molding Process ◽  
Elliptical Cross ◽  
High Internal Pressure

Based on the ETA/DYNAFORM elastic-plastic explicit finite element platform, the finite element model of high internal pressure forming was established and the forming process was simulated. Through simulating, the forming process was researched. The distribution law of wall thickness, stress and strain was revealed in forming process. The results show that: the thinnest wall lies in the middle of forming part, and the thickest wall in the end of feeding areas. Both maximum equivalent stress and minimum equivalent strain lie in the forming fillet of the large elliptical cross-section. These play an important guiding significance on molding process.

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