Confidence extremal structural response analysis of truss structures under static load uncertainty via SDP relaxation

A new method is presented to obtain the confidence structural responses of truss structures under ellipsoid static load uncertainty. By using a combination of duality theorem and SDP relaxation technique, we reformulate the original convex maximization problem as a relaxed convex SDP problem, which can be solved with global optimality. Numerical examples demonstrate the effectiveness of the proposed approach.