TECHNICAL PAPERS
Aug 1, 1984

Effect of Imperfection on Ponding Instability

Publication: Journal of Engineering Mechanics
Volume 110, Issue 8

Abstract

The theory of ponding instability of inflated imperfect spherical membranes subjected to a central load is considered. The equilibrium of the imperfect spherical cap is analyzed and the expression relating the critical central weight to the imperfection geometry and the properties of the membrane for the onset of collapse is derived. Some comparisons of the present results with experimental data (12,13) are carried out and it is concluded that imperfections in the test models (12,13) were responsible for the discrepancies between theoretical predictions and the experimental findings.

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References

1.
Ahmadi, G., and Glockner, P. G., “Ponding Instability of Inflated Imperfect Cylindrical Membranes,” Journal of Structural Engineering, ASCE, Vol. 109, 1983, pp. 297–313.
2.
Ahmadi, G., and Glockner, P. G., “Ponding Instability of Air‐Supported Elastic Spherical Membranes,” Archives of Mechanics, Engineering Transactions.
3.
Ahmadi, G., and Glockner, P. G., “Collapse by Ponding of Pneumatic Elastic Spherical Caps Under Distributed Loads,” Canadian Journal of Civil Engineering, Vol. 10, 1983, pp. 740–747.
4.
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5.
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Geiger, D. H., “Developments in Incombustible Fabrics and Low Profile Air Structures,” International Conference on Practical Applications of Air‐Supported Structures, Las Vegas, Nev., Oct., 1974, pp. 211.
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Glockner, P. G., and Malcolm, D. J., “The Use of Inflatables in Agriculture and the Exploration Industry,” CIB/IASS International Symposium on Air‐Supported Structures, Venice, Italy, June, 1977, pp. 377–407.
9.
Glockner, P. G., and Malcolm, D. J., “Some Problems in Using Cable‐Reinforced Inflatables in Greenhousing,” Department of Mechanical Engineering, Report No. 161, The University of Calgary, Apr., 1980.
10.
Malcolm, D. J., “Ponding Instability of Air‐Supported Cylinders—Some Experimental Results,” Department of Mechanical Engineering, Report No. 137, The University of Calgary, Dec., 1978.
11.
Malcolm, D. J., and Glockner, P. G., “Collapse by Ponding of Air‐Supported Membranes,” Journal of the Structural Division, ASCE, Vol. 104, 1978, pp. 1525–1532.
12.
Malcolm, D. J., and Glockner, P. G., “Ponding Stability of an Air‐Supported Spherical Membrane,” Proceedings Seventh Canadian Congress on Applied Mechanics, CANCAM '79, Sherbrooke, P.Q., May 27–June 1, 1979, Vol. 1, pp. 135–136.
13.
Malcolm, D. J., and Glockner, P. G., “Collapse by Ponding of Air‐Supported Spherical Caps,” Journal of the Structural Division, ASCE, Vol. 107, 1981, pp. 1731–1742.
14.
Kinnius, R. A., “The Modern Concept of Air‐Supported Structures,” CIB/IASS International Symposium on Air Supported Structures, Venice, Italy, June, 1977, pp. 43–49.
15.
Yoko, Y., Matsunaga, H., and Yokoyama, Y., “On the Behavior of Wrinkled Regions of Pneumatic Membrane in the Form of a Surface of Revolution Under Symmetric Loading,” Proceedings IASS Pacific Symposium (Pt. II), Tension Structures and Space Frames, Tokyo and Kyoto, Japan, 1971, pp. 449–460.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 110Issue 8August 1984
Pages: 1167 - 1173

History

Published online: Aug 1, 1984
Published in print: Aug 1984

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Authors

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Goodarz Ahmadi
Prof., Dept. of Mech. and Industrial Engrg., Clarkson Univ., Potsdam, N.Y.
Peter G. Glockner
Prof. and Head, Dept. of Mech. Engrg., The University of Calgary, Calgary, Alberta, Canada

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