Topology Optimization on Complex Surfaces Based on the Moving Morphable Component Method and Computational Conformal Mapping

Abstract In the present article, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach constructed based two-dimensional (2D) Moving Morphable Component (MMC) framework, where a set of structural components are used as basic units optimization, and computational conformal mapping (CCM) technique, which surface represented by unstructured triangular mesh can be mapped into regular 2D parameter domains numerically. A multipatch stitching scheme also developed to achieve MMC-friendly global parameterization through number local parameterizations. Numerical examples including saddle-shaped shell, torus-shape tee-branch pipe solved demonstrate validity efficiency proposed approach. It found that compared traditional approaches surfaces, optimized designs clear load transmission paths obtained much fewer numbers design variables degrees-of-freedom finite element analysis (FEA) via