4.7 Article

Confidence extremal structural response analysis of truss structures under static load uncertainty via SDP relaxation

Journal

COMPUTERS & STRUCTURES
Volume 87, Issue 3-4, Pages 246-253

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2008.10.001

Keywords

Robust optimization; Truss structures; Global optimality; SDP-relaxation; Lagrange dual

Funding

  1. NCET
  2. Ministry of Education, National Natural Science Foundation [10772037, 10721062]
  3. China and the National Key Basic Research Special Foundation of China [2006CB601205]

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A new method is presented to obtain the confidence structural responses of truss structures under ellipsoid static load uncertainty. By using a combination of duality theorem and SDP relaxation technique, we reformulate the original convex maximization problem as a relaxed convex SDP problem, which can be solved with global optimality. Numerical examples demonstrate the effectiveness of the proposed approach. (C) 2008 Elsevier Ltd. All rights reserved.

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