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

Y. Kanno and I. Takewaki
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Y. Kanno: The University of Tokyo
I. Takewaki: Kyoto University

Journal of Optimization Theory and Applications, 2006, vol. 130, issue 2, No 7, 265-287

Abstract: 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 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-006-9102-z

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