Multi-material topology optimization for practical lightweight design
Multi-material topology optimization for practical lightweight design
复制标题
面向实际轻量化设计的多材料拓扑优化
DOI：
10.1007/s00158-018-1953-z
复制
发表时间：
2018-09-01
影响因子：
3.9
通讯作者：
Kim, Il Yong
中科院分区：
文献类型：
--
作者：
Li, Daozhong;Kim, Il Yong
拓扑优化是进行轻量化设计的最有效工具之一，已在多个行业中实施以增强产品开发。典型的拓扑优化问题陈述是最小化系统合规性，同时将设计空间限制在假定的体积分数。传统的单一材料合规性问题已扩展到包括多种材料，从而增加了设计自由度，从而可能获得更好的解决方案。然而，顺应性最小化对于实际的轻量化设计具有局限性，因为顺应性缺乏有用的物理意义并且从来都不是工业中的设计标准。此外，传统的合规性最小化问题陈述需要先验选择体积分数约束；然而，设计师并不知道材料之间的最佳平衡。本文提出了一种更实用的多材料拓扑优化方法来克服这些限制。该方法通过最小化总重量同时满足性能限制来寻求材料之间的最佳平衡。本文还将重量最小化方法与顺应性最小化进行了比较。几个数值示例证明了重量最小化的成功，并证明了其相对于顺应性最小化的优势。
Topology optimization is one of the most effective tools for conducting lightweight design and has been implemented across multiple industries to enhance product development. The typical topology optimization problem statement is to minimize system compliance while constraining the design space to an assumed volume fraction. The traditional single-material compliance problem has been extended to include multiple materials, which allows increased design freedom for potentially better solutions. However, compliance minimization has the limitations for practical lightweight design because compliance lacks useful physical meanings and has never been a design criterion in industry. Additionally, the traditional compliance minimization problem statement requires volume fraction constraints to be selected a priori; however, designers do not know the optimized balance among materials. In this paper, a more practical method of multi-material topology optimization is presented to overcome the limitations. This method seeks the optimized balance among materials by minimizing the total weight while satisfying performance constraints. This paper also compares the weight minimization approach to compliance minimization Several numerical examples prove the success of weight minimization and demonstrate its benefit over compliance minimization.