期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 43, 期 9, 页码 2646-2669出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2005.06.088
关键词
robustness; structural safety; semidefinite program; quasiconvex optimization; data uncertainty
类别
This paper discusses evaluation techniques of the robustness function of trusses, which is regarded as one of measures of structural robustness, under the uncertainties of member stiffnesses and external forces. By using quadratic embedding of the uncertainty and the S-procedure, we formulate a quasiconvex optimization problem which provides lower bounds of the robustness functions. A bisection method is proposed, where we solve a finite number of semidefinite programming problems in order to obtain a global optimal solution to the proposed quasiconvex optimization problem. The lower bounds of the robustness functions are computed for various trusses under several uncertainty circumstances. (c) 2005 Elsevier Ltd. All rights reserved.
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