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The calculation of critical buckling loads for externally constrained structures

✍ Scribed by Hexiang, Lu ;Minghui, Feng ;Lark, R. J. ;Williams, F. W.

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 112 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199903)15:3<193::aid-cnm235>3.0.co;2-5

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✦ Synopsis

A method of identifying the critical load of structures, the buckling shape of which is constrained, is presented based on two novel techniques. The ®rst identi®es this critical or limit point buckling value using a linear, complementary algorithm to solve what is shown to be a quadratic programming problem, while the second adopts a generalized inverse iteration technique. The critical load of a circular ring con®ned by a rigid circular boundary and subject to thermal expansion is then obtained using this technique, and it is found that it is lower than that previously obtained from a traditional approach based on energy considerations.

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