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.
Highlights
Opening structures are commonly used in the fields of aviation, aerospace, automobile, machinery, and civil engineering
Considering that thin-shelled opening structures are widely used in airplanes, automobiles, ships, and other advanced machineries, Zhang et al.[4] and Wang and Zhang[5] proposed and improved the parametric mapping method to carry out hole-shape optimization for thin-shelled opening structures
In order to improve the precision of the stress and sensitivity within the fixed grid, Miegroet[15] and Cai et al.[16] introduced the extended finite element method (FEM) and the finite cell method (FCM), respectively, into the structural shape optimization
Summary
Opening structures are commonly used in the fields of aviation, aerospace, automobile, machinery, and civil engineering. Wang and Zhang[14] realized hole-shape optimization for thin-shelled opening structures within the fixed mesh and proposed a material perturbation method to calculate sensitivity analytically.
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