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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis
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Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis

机译：使用XFEM和分析灵敏度分析的多组件系统集成布局设计

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摘要

This study presents the integrated layout optimization of multi-component systems using a fixed mesh. The optimization formulation is established under the framework of the extended finite element method (XFEM). The level set method is used to represent components and is combined with the XFEM to describe material discontinuities across elements. Sensitivity analysis is proposed with respect to geometric variables of components and pseudo-densities of the basic structure. An analytical shape sensitivity analysis method with respect to positions and shapes of components is developed. Both solid and void components are considered to show the efficiency and accuracy of the proposed shape sensitivity analysis method. Furthermore, a revised finite circle method that adapts shape changes of elliptical components is proposed for the definition of non-overlapping constraints. Finally, numerical examples of maximizing the structural stiffness are tested to demonstrate the proposed method.
机译：这项研究提出了使用固定网格的多组件系统的集成布局优化。在扩展有限元方法（XFEM）的框架下建立了优化公式。水平集方法用于表示组件，并与XFEM组合以描述元素之间的材料间断。针对组件的几何变量和基本结构的伪密度，提出了灵敏度分析。提出了关于部件的位置和形状的分析形状灵敏度分析方法。固体和空隙成分都被认为可以显示所提出的形状敏感性分析方法的效率和准确性。此外，针对非重叠约束的定义，提出了一种修改后的有限圆方法，该方法适用于椭圆形组件的形状变化。最后，通过数值例子验证了结构刚度的最大化。

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  • 来源
  • 作者

    J. Zhang; W.H. Zhang; J.H. Zhu; L. Xia;

  • 作者单位

    Engineering Simulation and Aerospace Computing (ESAC), School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China;

    Engineering Simulation and Aerospace Computing (ESAC), School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China;

    Engineering Simulation and Aerospace Computing (ESAC), School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China;

    Engineering Simulation and Aerospace Computing (ESAC), School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, 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

    shape sensitivity analysis; layout optimization; topology optimization; the extended finite element method; multi-component system;

    机译：形状敏感性分析;布局优化;拓扑优化;扩展有限元法;多组分系统;

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