Algorithm

Linguistics

Engineering

Philosophy

Aerospace engineering

Spline (mechanical)

Computer science

Mathematical optimization

Finite element method

Offset (computer science)

B-spline

Mathematics

Feature (linguistics)

Topology optimization

Mathematical analysis

Artificial intelligence

Geometry

Combinatorics

Structural engineering

Programming language

Convex hull

Topology (electrical circuits)

Intersection (aeronautics)

Regular polygon

Computer Methods in Applied Mechanics and Engineering

In this paper, we propose a B-Spline Offset Feature (BSOF) for feature-driven topology optimization. The feature is inspired from the geometric morphology of worms characterized by an elongated cylindrical, bilaterally symmetric, and well-segmented body along a highly deformable directrix. B-spline is used to define the directrix with its outward and inward offsets outlining the BSOF. This definition endows the BSOF with high deformability such as self-folding and self-intersection. To construct the implicit level-set function (LSF), the BSOF is decomposed into a sequence of segments whose LSFs can easily be constructed by Kreisselmeier–Steinhauser (KS) function. Regular or irregular shaped segments are identified by the deformation gradient. Irregular segments involving geometrical singularities, e.g. distorted and concave segments, are replaced with convex hulls. The stiffest structure design and compliant mechanism synthesis are studied to illustrate the effectiveness and advantages of the proposed BSOF for topology optimization.

A bio-inspired B-Spline Offset Feature for structural topology optimization