Abstract

A convergence aid based on adaptive stress limits and for use with the sequential linear programming (SLP) method of structural optimization is presented. The structural optimization problem is formulated using linearized behavioral constraints and is solved by the SLP method with a sequence of stress limits. The stress limits, for each linear programming stage, are modified using information derived from the previous iterations. This approach, by suitably modifying the feasible region, prevents the oscillation of solution due to linearization for nonvertex optimum and also permits disjoint global optimum to be attained. The effectiveness of the approach is demonstrated by applying it to truss structures with vertex, nonvertex, and disjoint global optima.

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