Loading Magnitude Uncertainty in Level-Set Based Topology Optimization

Engineering environments are often complex, which introduces uncertainty into the design process. Thus, uncertainties should be considered during design and optimization of structures to produce robust and reliable solutions. This paper presents topology optimization with uncertainty by minimizing expected compliance. A simple and efficient formulation is developed to solve this problem under uncertainty in loading magnitude. The formulation is applied to the level set method and illustrative examples demonstrate that more robust structures can be obtained compared to the deterministic solutions.