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首页> 外文期刊>Journal of thermal stresses >Lightweight topology optimization of thermal structures under compliance, stress and temperature constraints
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Lightweight topology optimization of thermal structures under compliance, stress and temperature constraints

机译：轻量级拓扑结构在合规性，应力和温度约束下的热结构优化

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摘要

This paper proposes a topology optimization method for a multi-physics problem considering weight minimization with compliance, stress, and temperature constraints. Two static equations for thermal and structural problems are solved. A novel topology optimization formulation, i.e., lightweight design involving compliance, stress and temperature limits, is established using the rational approximation of material properties. A corrected P-norm function is employed to exactly evaluate the maximum stress and temperature of the structure. Moreover, iteration oscillations stemming from the high non-linearity of stress constraint are alleviated by means of a stabilizing control scheme based on the stability transformation method. The sensitivity analysis of the coupled multi-physics field is performed utilizing the adjoint method. Some numerical examples are adopted to demonstrate the validity and robustness of the proposed methodology. It is indicated that the topology considering the above three constraints simultaneously can achieve good mechanical and thermal performances, while the compliance constraint can accelerate the rate of convergence. The stricter compliance limit leads to a heavier structure and more uneven stress distribution but less iterations. The optimized topologies are dependent on the temperature range due to the effect of thermal expansion.
机译：本文提出了考虑符合性，应力和温度约束的重量最小化的多物理问题的拓扑优化方法。解决了热和结构问题的两个静态方程。一种新颖的拓扑优化制剂，即涉及合规性，应力和温度限制的轻质设计，是使用材料特性的合理近似建立的。采用校正的P常态功能来精确评估结构的最大应力和温度。此外，通过基于稳定性变换方法的稳定控制方案，通过稳定控制方案来缓解来自应力约束的高非线性的迭代振荡。利用伴随方法进行耦合多物理场的敏感性分析。采用一些数值例子来证明所提出的方法的有效性和鲁棒性。结果表明，考虑到上述三个约束的拓扑同时可以实现良好的机械和热性能，而合规约束可以加速收敛速率。更严格的合规限度导致较重的结构和更不均匀的应力分布，但迭代较少。优化的拓扑由于热膨胀的效果而取决于温度范围。

著录项

  • 来源
    《Journal of thermal stresses》 |2021年第9期|1121-1149|共29页
  • 作者

    Meng Qingxuan; Xu Bin; Huang Chenguang; Wang Ge;

  • 作者单位

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ Inst Struct Hlth Monitoring & Control Xian Peoples R China;

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ Inst Struct Hlth Monitoring & Control Xian Peoples R China;

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ Inst Struct Hlth Monitoring & Control Xian Peoples R China;

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ Inst Struct Hlth Monitoring & Control Xian Peoples R 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

    Lightweight topology optimization; temperature constraints; stress constraints; compliance constraints; convergence rate; stabilizing control scheme;

    机译：轻量级拓扑优化;温度约束;应力约束;合规限制;收敛率;稳定控制方案;

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