Fixed-grid hole-shape optimization for opening structures using smoothly deformable implicit curve. (February 2019)

• Record Type: Journal Article
• Authors: Xu, Wentao; Wang, Honglu; Cai, Shouyu; Ma, Huizhong
• Is Part Of: Advances in mechanical engineering. Volume 11:Number 2(2019)
• Publication Date: 2019-02
• Subjects: Shape optimization -- opening structure -- topological optimization -- finite cell method -- implicit curve; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/1687814019826676
• Languages: English
• ISSNs: 1687-8132

Abstract

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.