A Solution Strategy for Robust Topology Optimization when the Nominal and Expected Compliance are the Same

Abstract

In this paper, an anomaly resolving strategy is presented for such cases where the nominal and robust compliances are the same in the volume-constrained continuous topology optimization with directionally uncertain loads. In this investigation, the parametric normally and uniformly distributed expected compliance and the non-parametric total-compliance-variance are used as robustness measures. It will be proved by experimental evidence, that in the anomalous cases the result of the nominal-compliance minimization and the results of the minimization of the investigated robust measures form a pareto optimal point, therefore the volume-percentage increasing is the only way of the design robustness improving.