Multicriterion Compliance Minimization and Stress-constrained Minimum Weight Design of a Three-bar Truss

Abstract

In this report, the structural optimization of a three-bar truss is considered. We present the detailed solution of the minimum compliance problem as well as the stress-constrained minimum weight design. In both cases the truss is subject to two loading conditions. The compliance minimization problem is formulated as a multicriterion optimization problem, where the compliances of the different loading conditions are the conflicting criteria that are minimized simultaneously. We provide the analytical solution of this formulation as well as the global optimum of the stress-constrained minimum weight problem.