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An efficient multiscale concurrent design method using fitting function

机译：使用拟合函数的有效的多尺度并发设计方法

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摘要

In this paper, a multiscale concurrent optimisation method is presented for the design of cellular structures. The purpose is to search the configurations and layouts of microstructures simultaneously. At the microscale, a family of graded microstructures (GMs) is obtained via reconstructing the level set function (LSF) and parallelly moving the cutting plane. Based on the gradient-varying mechanical properties, the fitting functions of elasticity tensors with respect to relative densities are established. The numerical homogenisation method is utilised to calculate the mechanical properties of sample points which are regarded as fitting parameters. For the multiscale scheme, the allocation of GMs is optimised by a material distribution method, while the configurations of microstructures are designed by an extended parameterised level set method (PLSM) which is inspired from the design thinking of the bi-directional evolutionary structural optimisation (BESO). Numerical examples demonstrate the effectiveness of the proposed method.
机译：本文介绍了蜂窝结构设计的多尺度并发优化方法。目的是同时搜索微结构的配置和布局。在微尺寸处，通过重建电平集功能（LSF）并并联移动切割平面来获得一系列分级微结构（GMS）。基于梯度改变的机械性能，建立了弹性张量相对于相对密度的装配功能。使用数值均化方法来计算被视为拟合参数的样品点的机械性能。对于多尺度方案，GMS的分配通过材料分布方法优化，而微观结构的配置由扩展的参数化级别（PLSM）设计，该方法是从双向演进结构优化的设计思想的启发（是这样）。数值例证证明了所提出的方法的有效性。

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  • 作者

    Chen Yu; Qifu Wang; Chao Mei; Zhaohui Xia;

  • 作者单位

    National Enterprise Information Software Engineering Research Center School of Mechanical Science and Engineering Huazhong University of Science and Technology Wuhan China;

    National Enterprise Information Software Engineering Research Center School of Mechanical Science and Engineering Huazhong University of Science and Technology Wuhan China;

    National Enterprise Information Software Engineering Research Center School of Mechanical Science and Engineering Huazhong University of Science and Technology Wuhan China;

    National Enterprise Information Software Engineering Research Center School of Mechanical Science and Engineering Huazhong University of Science and Technology Wuhan 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

    multiscale concurrent; topology optimisation; reconstructing level set; cutting plane; fitting function; extended level set method;

    机译：多尺度并发;拓扑优化;重建水平集;切割平面;拟合功能;扩展级别设置方法;

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