论文标题
基于移动形态分量（MMC）方法和计算保形映射（CCM）对复杂表面上的拓扑优化
Topology optimization on complex surfaces based on the moving morphable component (MMC) method and computational conformal mapping (CCM)
论文作者
论文摘要
在本文中，提出了用于对具有任意属的复杂表面拓扑优化的综合范式。该方法是基于二维（2D）移动形态组件（MMC）框架构建的，其中一组结构组件用作优化的基本单位和计算保形映射（CCM）技术，通过该技术由一个由非结构性的三角形网状映射到常规2D domers domerains numerase domerains domerartional domerartional domerartional domereral domerartional domereral domerains domerains domerains domerains tocique of tumers tocique of Optigational Surpotical映射（CCM）技术。还开发了多个缝线方案，以通过许多局部参数化来实现对MMC友好的全局参数化。数值示例，包括鞍形外壳，圆环壳和TEE分支管道，以证明所提出的方法的有效性和效率。已经发现，与在2D表面上进行拓扑优化的传统方法相比，可以通过拟议的方法获得具有清晰载荷传输路径的优化设计，以较少的设计变量和有限元分析的自由度（FEA）。
In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a set of structural components are used as the basic units of optimization, and computational conformal mapping (CCM) technique, with which a complex surface represented by an unstructured triangular mesh can be mapped into a set of regular 2D parameter domains numerically. A multi-patch stitching scheme is also developed to achieve an MMC-friendly global parameterization through a number of local parameterizations. Numerical examples including a saddle-shaped shell, a torus-shape shell and a tee-branch pipe are solved to demonstrate the validity and efficiency of the proposed approach. It is found that compared with traditional approaches for topology optimization on 2D surfaces, optimized designs with clear load transmission paths can be obtained with much fewer numbers of design variables and degrees of freedom for finite element analysis (FEA) via the proposed approach.
