An approximation technique for design sensitivity analysis of the critical load in non-linear structures

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A new technique of approximating design sensitivities of the critical load is presented in this paper. The technique results in stable and reliable estimations of design sensitivities at prebuckling points. Since taking derivatives of an approximated eigenvalue problem gives unstable sensitivities as the point approaches the critical load, the sensitivities are approximated directly from the exact sensitivity expressions. The sensitivities are approximated by applying two common approaches that are used in the critical load estimation and are called 'one- and two-point approximation'. The reliability and applicability of the proposed technique are demonstrated through several numerical examples of truss and beam structures. Two-point approximation of design sensitivities gives better results than one-point approximation. Copyright (C) 1999 John Wiley & Sons, Ltd.
Publisher
JOHN WILEY SONS LTD
Issue Date
1999-08
Language
English
Article Type
Article
Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.45, no.12, pp.1727 - 1736

ISSN
0029-5981
URI
http://hdl.handle.net/10203/75777
Appears in Collection
ME-Journal Papers(저널논문)
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