Sequential Semidefinite Program for Maximum Robustness Design of Structures under Load Uncertainty

  • Y. Kanno
  • I. Takewaki
Article

Abstract

A robust structural optimization scheme as well as an optimization algorithm are presented based on the robustness function. Under the uncertainties of the external forces based on the info-gap model, the maximization of the robustness function is formulated as an optimization problem with infinitely many constraints. By using the quadratic embedding technique of uncertainty and the S-procedure, we reformulate the problem into a nonlinear semidefinite programming problem. A sequential semidefinite programming method is proposed which has a global convergent property. It is shown through numerical examples that optimum designs of various linear elastic structures can be found without difficulty.

Keywords

Robust optimization info-gap model semidefinite programs structural optimization successive linearization methods 

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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • Y. Kanno
    • 1
  • I. Takewaki
    • 2
  1. 1.Department of Mathematical InformaticsThe University of TokyoTokyoJapan
  2. 2.Department of Urban and Environmental EngineeringKyoto UniversityKyotoJapan

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