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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Isogeometric topology optimization using trimmed spline surfaces
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Isogeometric topology optimization using trimmed spline surfaces

机译：使用修剪的样条曲面进行等几何拓扑优化

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摘要

In the present work, a new spline based topology optimization using trimmed spline surfaces and the isogeometric analysis is proposed. In the proposed approach, the trimmed surface analysis which can treat topologically complex spline surfaces using trimming information provided by CAD systems is employed for structural response analysis and sensitivity calculation in the topology optimization. The outer and inner boundaries of design models are represented by a spline surface and trimming curves. Design variables used in this approach are the coordinates of control points of a spline surface and those of trimming curves. New sensitivity formulations for the control points in the trimmed surface analysis are proposed and their efficiency and accuracy are verified. The creation of new inner fronts during optimization is allowed for the topological flexibility. An inner front merging algorithm is also presented. The proposed spline based topology optimization is used to solve some benchmarking problems. Design space dependency which is one of serious shortcomings in conventional topology optimization approaches is naturally eliminated by the proposed spline based optimization. Design dependent load problems which are difficult to treat with conventional grid based topology optimization methods are easily dealt with by the proposed one. It is also shown that post-processing effort for converting to CAD model is eliminated by using the same spline information in numerical analysis and design optimization.
机译：在目前的工作中，提出了一种新的基于样条线的拓扑优化方法，其中使用了修剪后的样条线表面和等几何分析。在提出的方法中，可以使用由CAD系统提供的修整信息来处理拓扑复杂的样条曲面的修整表面分析用于拓扑优化中的结构响应分析和灵敏度计算。设计模型的外部和内部边界由样条曲面和修剪曲线表示。此方法中使用的设计变量是样条曲面的控制点的坐标和修剪曲线的控制点的坐标。提出了修整表面分析中控制点的新灵敏度公式，并验证了其有效性和准确性。在优化过程中允许创建新的内部前沿以实现拓扑灵活性。还提出了内部前合并算法。所提出的基于样条的拓扑优化用于解决一些基准测试问题。提出的基于样条的优化自然消除了设计空间依赖性，这是常规拓扑优化方法中的严重缺陷之一。所提出的解决方案很容易解决设计相关的负载问题，而这些问题是传统基于网格的拓扑优化方法难以解决的。还表明，通过在数值分析和设计优化中使用相同的样条信息，可以消除转换为CAD模型的后处理工作。

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  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2010年第52期|p.3270-3296|共27页
  • 作者

    Yu-Deok Seo; Hyun-Jung Kim; Sung-Kie Youn;

  • 作者单位

    Division of Mechanical Engineering, School of Mechanical, Aerospace and Systems Engineering, KAIST, 373-1, Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea;

    Division of Mechanical Engineering, School of Mechanical, Aerospace and Systems Engineering, KAIST, 373-1, Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea;

    Division of Mechanical Engineering, School of Mechanical, Aerospace and Systems Engineering, KAIST, 373-1, Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    topology optimization; isogeometric analysis; trimmed surface; trimmed surface analysis; splines;

    机译：拓扑优化;等几何分析修整的表面;修整表面分析;花键;

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