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Robust structural topology optimization considering boundary uncertainties

机译：考虑边界不确定性的鲁棒结构拓扑优化

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摘要

In classical deterministic topology optimization, the effect of the possible boundary variations on the performance of the structure is not taken into account, which may lead to designs that are very sensitive to manufacturing errors. As a consequence, the performance of the real structure may be far from optimal and even not meet the design requirements. In the present paper, structural topology optimization considering the uncertainty of boundary variations is considered via level set approach. In order to make the optimal designs less sensitive to the possible boundary variations, we choose the compliance and fundamental frequency of structure enduring the worst case perturbation as the objective function for ensuring the robustness of the optimal solution. With use of the Schwarz inequality, the original Bi-level optimization problem is transformed to a single-level optimization problem, which can be solved efficiently. Numerical examples demonstrate the effectiveness of the proposed approach.
机译：在经典的确定性拓扑优化中，未考虑可能的边界变化对结构性能的影响，这可能导致设计对制造误差非常敏感。结果，真实结构的性能可能远非最佳，甚至不能满足设计要求。在本文中，通过水平集方法考虑了考虑边界变化不确定性的结构拓扑优化。为了使最佳设计对可能的边界变化不那么敏感，我们选择结构的柔度和基频来承受最坏情况的摄动，以此作为确保最佳解决方案鲁棒性的目标函数。通过使用Schwarz不等式，原来的二级优化问题被转换为单级优化问题，可以有效地解决该问题。数值算例表明了该方法的有效性。

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  • 来源
  • 作者

    Xu Guo; Weisheng Zhang; Li Zhang;

  • 作者单位

    State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, PR China;

    State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, PR China;

    State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, PR China;

  • 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; uncertainty; compliance; robust optimization;

    机译：拓扑优化;不确定;遵守;稳健的优化;

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