A semidefinite programming (SDP) approach is presented to estimate bounds on static responses of structural systems with uncertain material and geometric parameters that are described as interval numbers. Under the constraint of static governing equations of the structural system, an ellipsoid of minimal size in the sense that minimizes the sum of squares of semi-axis lengths is sought to contain the exact solution set of the displacement responses. The computation is formulated as a (convex) SDP problem based on the results from semidefinite relaxation techniques, which can be solved very eff...
