Robust Topology Optimization Under Random Load Locations Available to Purchase

Recent years have seen the emergence of topology optimization as one of the most active research areas of structural optimization, with a broad range of promising applications in engineering design. Uncertainty is ubiquitous in real-world situations, which affects design solutions profoundly. This paper proposes a method to integrate topology optimization of static continuum structures with robust design optimization under uncertain load positions. To model the robust design problem, a multi-objective optimization formulation is posed, in which both the expectancy and the standard deviation of the structural compliance are minimized with weighting factors. Next a density based method, called Solid Isotropic Material with Penalization, and the Method of Moving Asymptotes are employed to output the robust structural topology. Numerical examples implemented in Matlab are then utilized to illustrate the proposed method, investigate outcomes of the robust design methodology against deterministic one, and confirm that the resulting designs are robust. Nodal displacements are compared between robust and deterministic solutions.