Abstract：Shape optimization of the holes in opening structures can effectively alleviate the hole-edge stress concentration, which has high requirements for the stress analysis precision and the geometrical ability of hole-edge curves. However, the existing fixed-grid shape optimization approaches could not meet the above two requirements very well. In view of this, the finite cell method is adopted in this work for high-precision numerical analysis within fixed meshes, and the smoothly deformable implicit curve is used to describe the boundary to be optimized. After the establishment of optimization model and the derivation of analytical sensitivity analysis formulas, the hole shape optimization design framework is finally built with high precision and high efficiency. Through the optimization of holed structures under different load boundary conditions, it is shown that the proposed method has the advantages of no mesh updating, simple sensitivity derivation, high analytical precision and large design space.
2018, Vol. 39 
