Abstract
An approximation algorithm is presented for finding the lower bounds of robustness functions of linear elastic trusses associated with stress constraints. Under the uncertainties of member stiffness and external forces based on the info-gap model, the robustness function is formulated as the optimal objective value of an optimization problem with infinitely many constraint conditions. By using the semidefinite programming relaxation, we formulate the quasiconvex programming problem which provides the lower bounds of the robustness functions. A bisection method is proposed, where we solve a finite number of semidefinite programming problems. The lower bounds of robustness functions are computed for various trusses under several uncertain circumstances.
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