Generalized Bezier components and successive component refinement using moving morphable components
Generalized Bezier components and successive component refinement using moving morphable components
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DOI：
10.1007/s00158-022-03289-8
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发表时间：
2022-07-01
影响因子：
3.9
通讯作者：
Armstrong, C. G.
中科院分区：
文献类型：
--
作者：
Shannon, T.;Robinson, T. T.;Armstrong, C. G.
本文演示了在移动可变形组件 (MMC) 优化框架中引入广义贝塞尔组件的进展。还描述了增强组件参数化的方法，以提供比使用现有方法可以实现的更好的优化的机会。使用控制点和贝塞尔曲线来表示结构组件，既提供了形状的额外灵活性，又提供了符合商业计算机辅助设计 (CAD) 软件包中基于拉伸和扫掠特征的模板的参数化。针对一系列作者提出的问题和文献问题，提出了表示这些结构组件的方法、计算解析导数的方法以及证明它们在 MMC 框架中集成的数值示例。连续的细化技术展示了结构组件的额外灵活性如何能够逐步改进目标函数。对于所检查的问题，增加每个组件的设计变量（从 5 到 15）会导致解决方案的合规性降低 6% 到 36%。这一改进是在没有增加设计空间中组件数量的情况下实现的。
This paper demonstrates developments that introduce generalized Bezier components in the Moving Morphable Components (MMC) optimization framework. Methods of enhancing the parameterization of the components to provide the opportunity for a better optimum, than can be achieved using existing approaches, are also described. The use of control points and Bezier curves for representing structural components provides both additional flexibility in the shape and a parameterization that complies with extrude and swept feature-based templates available in commercial computer-aided design (CAD) packages. Methods of representing these structural components, calculating analytical derivatives, and numerical examples demonstrating their integration in the MMC framework, are presented for a series of author-derived and literature problems. A successive refinement technique demonstrates how the additional flexibility in the structural components enables progressive improvement in the objective function. For the examined problems, increasing the design variables per component (from 5 to 15) resulted in solutions with 6% to 36% reduction in compliance. This improvement was achieved without increasing the number of components in the design space.