TECHNICAL PAPERS
Feb 1, 1983

Optimization of Connecting Shell

Publication: Journal of Engineering Mechanics
Volume 109, Issue 1

Abstract

A procedure based on a direct variational method is presented for the determination of an optimum shape of a shell of revolution connecting a cylinder to a sphere under internal pressure. The optimized configuration of variable thickness has the same strength as that of an unpierced sphere subjected to internal pressure. The design is set up with respect to volume restriction, weight constraint and governing yield criterion. Geometric discontinuity is avoided by representing the midsurface of the shell of revolution by a function differentiable at least twice, up to and including boundaries. Required integrations and iterations are carried out numerically by a digital computer.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
ASME Boiler and Pressure Vessel Code, Section VIII, American Society of Mechanical Engineers, New York, N.Y., 1980.
2.
“Code de construction des appareils à pression non soumis à l'action de la flamme,” Code SNCTII, Paris, France, 1969.
3.
Den Hartog, J. P., Advanced Strength of Material, McGraw‐Hill Book Co., New York, N.Y., 1952.
4.
Denn, M. M., Optimization by Variational Methods, McGraw‐Hill Book Co., New York, N.Y., 1969, pp. 18–21, 32–34.
5.
Elsgolte, L. E., Calculus of Variations, Permagon Press Ltd., Oxford, England, 1962.
6.
Freiberger, W., “Minimum Weight Design of Cylindrical Shells,” Journal of Applied Mechanics, Transactions, American Society of Mechanical Engineers, Series E, Vol. 23, 1956, pp. 576–580.
7.
Gwaltney, R. C., and Corum, J. M., “An Analytical Study of Inside and Outside Compact Reinforcement for Radial Nozzles in Spherical Shells,” Report No. ORNL‐4732, Oak Ridge National Laboratory, Oak Ridge, Tenn., June, 1974.
8.
Hildebrand, F. B., Method of Applied Mathematics, Second Edition, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1965, pp. 119–192.
9.
Hildebrand, F. B., Advanced Calculus for Application, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1962.
10.
Kowalik, J., and Osborne, M. R., Methods for Unconstrained Optimization Problems, American Elsevier Publishing Co., Inc., New York, N.Y., 1968, 1973.
11.
Kraus, H., Thin Elastic Shells, John Wiley & Sons, Inc., New York, N.Y., 1967.
12.
Langer, B. F., “Design‐Stress Basis for Pressure Vessels,” The William M. Murray Lecture, 1970, Experimental Mechanics, Society for Experimental Stress Analysis, Vol. 1, No. 1, 1971, pp. 1–10.
13.
Ortega, J. M., and Rheinbolt, W. C., Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, N.Y., 1970.
14.
Shield, R. T., “On the Optimum Design of Shells,” Journal of Applied Mechanics, Transactions, ASME, Series E, Vol. 27, 1960, pp. 316–322.
15.
Shield, R. T., and Drucker, D. C., “Design of Thin‐Walled Torispherical and Toriconical Pressure Vessel Heads,” Journal of Applied Mechanics, Transactions, ASME, Series E, Vol. 28, 1961, pp. 292–297.
16.
Timoshenko, S., Strength of Materials, 3rd Edition, Vol. 2, D. Van Nostrand Company, Inc., Princeton, N.J., 1956.
17.
Wang, H. C., and Worley, W. J., “An Approach to Optimum Shape Determination for a Class of Thin Shells of Revolution,” Journal of Applied Mechanics, Transactions, ASME, Series E, Vol. 35, 1968, pp. 524–529.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 109Issue 1February 1983
Pages: 111 - 126

History

Published online: Feb 1, 1983
Published in print: Feb 1983

Permissions

Request permissions for this article.

Authors

Affiliations

Boubacar Diallo
Formerly Post‐Doctoral Fellow, Faculty of Applied Science, Université de Sherbrooke, Sherbrooke, Québec, Canada
Fernand Ellyin, M. ASCE
Prof., Dept. of Mechanical Engrg., Univ. of Alberta, Edmonton, Alberta, T6G 2G8, Canada

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share