Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties

In this paper, a cross-scale robust topology optimization (CS-RTO) method for fixed boundary structures considering the uncertainties of the magnitude and the direction of forces is proposed, which can simultaneously constrain the robustness of structural response and unit-cell configuration. By establishing an adaptive subinterval partition strategy and based on the subinterval dimension-wise method, the adaptive subinterval dimension-wise method (ASDWM) is developed for strongly nonlinear propagation analysis problems. In addition, to obtain a more robust unit-cell configuration to enhance the structural manufacturability and suppress the influence of manufacturing defects on the properties of the unit cell, the filter-projection technique is used to control the minimum length scale of the unit cell. Finally, two examples are presented to demonstrate the applicability and effectiveness of the methodology that has been developed.