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. © 2006 Springer Science+Business Media, Inc.
CITATION STYLE
Kanno, Y., & Takewaki, I. (2006). Sequential semidefinite program for maximum robustness design of structures under load uncertainty. Journal of Optimization Theory and Applications, 130(2), 265–287. https://doi.org/10.1007/s10957-006-9102-z
Mendeley helps you to discover research relevant for your work.