Fixed-grid hole-shape optimization for opening structures using smoothly deformable implicit curve

• Main Authors: Wentao Xu, Honglu Wang, Shouyu Cai, Huizhong Ma
• Format: Article
• Language: English
• Published: SAGE Publishing 2019-02-01
• Series: Advances in Mechanical Engineering
• Online Access: https://doi.org/10.1177/1687814019826676

Hole-shape optimization for opening structures can effectively alleviate the hole-edge stress concentration; however, it requires high precision of stress analysis and high geometrical deformation capacity of the hole-edge curves. Therefore, the finite cell method is adopted in this work for high-precision numerical analysis within the fixed mesh, and the smoothly deformable implicit curve is proposed to describe the boundary to be optimized. After deriving analytical sensitivity analysis formulas, we built a hole-shape optimization design framework having high precision and high efficiency. Through hole-shape optimization in opening structures under different load boundary conditions, the proposed framework exhibited several advantages such as no mesh updating, simple sensitivity derivation, high analytical precision, and large design space.