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An Asymptotic Solution for Non-Linear Behavior of Imperfect Shallow Spherical Shells

Published online by Cambridge University Press:  05 May 2011

G.H. Nie  and
J.C. Yao
G.H. Nie*
Affiliation:
Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics, Tongji University, Shanghai 200092, P.R. China
J.C. Yao*
Affiliation:
Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics, Tongji University, Shanghai 200092, P.R. China
*
* Professor
** Postgraduate student
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Abstract

This paper deals with non-linear behavior of an elastically restrained shallow spherical shell with imperfections and subjected to uniform normal load by the asymptotic iteration method. An asymptotic relation between the external load and central transverse displacement (deflection) of the structure incorporating the effects of the characteristic geometrical parameter, imperfection factor and edge-restraint coefficients is formulated. The corresponding solutions resulting from the use of the second and third iteration processes are compared with each other and available data. The numerical calculations show that the second iteration is adequate for the non-linear analysis of the structure. The effects of geometrical imperfections and boundary constraint coefficients on buckling of the structures are presented graphically.

Keywords

Shallow spherical shellImperfectionsBucklingAsymptotic iteration method
Type
Articles
Information
Journal of Mechanics , Volume 18 , Issue 3 , September 2002 , pp. 139 - 144
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2002

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References

1Dumir, P. C., Gandhi, M. L. and Nath, Y., “Axisymmetric Static and Dynamic Buckling of Orthotropic Shallow Spherical Caps with Flexible Supports,” Acta Mechanica, 52, pp. 93–106 (1984).CrossRefGoogle Scholar
2Nie, G. H., “Asymptotic Buckling Analysis of Imperfect Shallow Spherical Shells on Non-Linear Elastic Foundation,” Int. J. of Mechanical Sciences, 43(2), pp. 543–555 (2001).CrossRefGoogle Scholar
3Liu, R. H., Li, D., Nie, G. H. and Cheng, Z. Q., “Non-Linear Buckling of Squarely-Latticed Shallow Spherical Shells,” Int. J. Non-Linear Mechanics, 26(5), pp. 547–565 (1991).Google Scholar
4Nie, G. H. and Cheung, Y. K., “A Non-Linear Model for Stability Analysis of Reticulated Shallow Shells with Imperfections,” Int. J. of Space Structures, 10(4), pp. 215–230 (1995).CrossRefGoogle Scholar
5Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells, 2nd ed., McGraw-Hill, New York (1959)Google Scholar