TECHNICAL PAPERS
May 15, 2003

Ritz Buckling Analysis of Rectangular Plates with Internal Hinge

Publication: Journal of Engineering Mechanics
Volume 129, Issue 6

Abstract

This paper presents the Ritz method for buckling analysis of rectangular plates with an internal line hinge. The Ritz method involves the domain decomposition method to cater for the discontinuity of slope at the hinge line. The correctness of the Ritz formulation and solutions is confirmed by the exact solutions derived using the Levy method for plates with two opposite sides simply supported. Based on the Ritz method, buckling factors are generated for rectangular plates of various aspect ratios, hinge locations, and support and loading conditions.

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References

Bulson, P. S. (1970). The stability of flat plates, Chatto and Windus, London.
Column Research Committee of Japan (1971). Handbook of structural stability, Corona, Tokyo, Japan.
Liew, K. M., Wang, C. M., Xiang, Y., and Kitipornchai, S. (1998). Vibration of Mindlin plates: Programming the p-version Ritz method, Elsevier, Oxford.
Su, G. H., and Xiang, Y. (1999). “Elastic buckling of rectangular plates with mixed boundary conditions.” Proc., 16th Australasian Conf. on the Mechanics of Structures and Materials, Sydney, Australia, 653–658.
Su, G. H., and Xiang, Y.(2002). “A non-discrete approach for analysis of plates with multiple subdomains.” Eng. Struct., 24, 563–575.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, McGraw-Hill, New York.
Xiang, Y., Wang, C. M., and Wang, C. Y.(2001). “Buckling of rectangular plates with internal hinge.” Int. J. Struct. Stability Dynamics, 1(2), 169–179.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 6June 2003
Pages: 683 - 688

History

Received: Dec 5, 2000
Accepted: Aug 13, 2002
Published online: May 15, 2003
Published in print: Jun 2003

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Authors

Affiliations

Y. Xiang, M.ASCE
Associate Professor, School of Engineering and Industrial Design and Centre for Construction Technology and Research, Univ. of Western Sydney, Penrith South DC NSW 1797, Australia.
C. M. Wang, M.ASCE
Professor, Dept. of Civil Engineering, National Univ. of Singapore, Singapore 119260.
C. Y. Wang
Professor, Dept. of Mathematics, Michigan State Univ., East Lansing, MI 48824.
G. H. Su
PhD Candidate, Centre for Construction Technology and Research, Univ. of Western Sydney, Penrith South DC NSW 1797, Australia.

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