论文标题
从连续的细胞模式菜单和其机械行为的渐近分析中产生平稳变化的填充构型
Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour
论文作者
论文摘要
我们在这里介绍了一种新颖的方案，用于从给定的生成单元菜单中生成平滑变化的填充分级微结构（IGM）配置。该方案最初是为了在基于改良的渐近均匀化拓扑优化框架[1]中基本上改善各种可描述的配置[1]。但是，经过修改后，提出的方案在应用程序的两个方面也证明了其独特的值。首先，它提供了一种相当简单的方法来生成连续修补任何给定的单元格配置的IgM配置。其次，它可以简单地将其装饰在给定的歧管上的微观结构。我们将进一步表明，此处给出的拓扑描述功能的形式有效地提供了一个平台，用于统一IGM生成的大多数现有方法。在对所得IGM构型的机械行为的渐近分析中推动的，引入了合规性最小化的拓扑优化方案。我们最终将证明，与原始框架相比，本方案的使用有助于将优化结构的合规价值降低近一半[1]。
We here introduce a novel scheme for generating smoothly-varying infill graded microstructural (IGM) configurations from a given menu of generating cells. The scheme was originally proposed for essentially improving the variety of describable configurations in a modified asymptotic homogenisation-based topology optimisation framework [1] for fast IGM design. But the proposed scheme, after modification, also demonstrates its unique values in two aspects of applications. First, it provides a fairly simple way of generating an IGM configuration continuously patching any given cell configurations. Second, it tenders a straightforward mean for decorating microstructures on a given manifold. We will further show that the form of topology description function given here effectively offers a platform for unifying most existing approaches for IGM generation. Fuelled by asymptotic analysis of the mechanical behaviour of the resulting IGM configurations, a topology optimisation scheme for compliance minimisation is introduced. We will finally show that, the use of the present scheme helps reduce the compliance value of an optimised structure by nearly a half, if compared with that from the original framework [1].
