The paper presents the optimization of toroidal shell cross-sections under internal pressure. The wall thickness distribution along a circular centerline is derived in an analytical form. In membrane solution, this cross-section gives a constant Mises stress all over the shell. Therefore, it leads to material saving and contained volume increase in comparison with the traditional cross-section of circular constant thickness. The optimum shapes are designed for two states of shell, one is elasticity and the other is up to destruction. The maximum material saving can reach 70% in some configurations of toroid. Results of the proposed method are as good as or better than those found in literature.
Issue Section:
Technical Briefs
References
1.
Vu
, V. T.
, and Blachut
, J.
, 2009
, “Plastic Instability Pressure of Toroidal Shells
,” Trans. ASME J. Pressure Vessel Technol.
, 131
(5
), 051203
.10.1115/1.31488242.
Steele
, C. R.
, 1965
, “Toroidal Pressure Vessels
,” J. Spacecr. Rockets
, 2
, pp. 937
–943
.10.2514/3.283183.
Bogomol'nyi
, V. M.
, and Zhidyaev
, N. A.
, 1992
, “Optimization of the Geometric Parameters of Elbows
,” Chem. Petrol. Eng.
, 28
, pp. 418
–420
.10.1007/BF013699594.
Vu
, V. T.
, 2010
, “Minimum Weight Design for Toroidal Pressure Vessels Using Differential Evolution and Particle Swarm Optimization
,” Struct. Multidiscip. Optim.
, 42
(3
), pp. 351
–369
.10.1007/s00158-010-0494-x5.
Flugge
, W.
, 1973
, Stresses in Shells
, Springer
, Berlin
.6.
abaqus
, 2002
, Hibbitt, Karlsson and Sorensen, Inc., Version 6.3, USA.Copyright © 2013 by ASME
You do not currently have access to this content.
