北京航空航天大学学报 ›› 2019, Vol. 45 ›› Issue (6): 1122-1128.doi: 10.13700/j.bh.1001-5965.2018.0561

• 论文 • 上一篇    下一篇

三维点阵结构等效热分析与优化方法

邓昊宇1, 王春洁1,2   

  1. 1. 北京航空航天大学 机械工程及自动化学院, 北京 100083;
    2. 北京航空航天大学 虚拟现实技术与系统国家重点实验室, 北京 100083
  • 收稿日期:2018-09-26 出版日期:2019-06-20 发布日期:2019-06-18
  • 通讯作者: 王春洁 E-mail:wangcj@buaa.edu.cn
  • 作者简介:邓昊宇 男,博士研究生。主要研究方向:三维点阵结构数字化设计与分析;王春洁 女,博士,教授。主要研究方向:数字化设计与仿真分析。
  • 基金资助:
    国家自然科学基金(51635002)

Equivalent thermal analysis and optimization method for three-dimensional lattice structure

DENG Haoyu1, WANG Chunjie1,2   

  1. 1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100083, China;
    2. State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100083, China
  • Received:2018-09-26 Online:2019-06-20 Published:2019-06-18

摘要: 为了实现三维点阵结构高效、准确的热传导分析,基于热力学原理,推导了点阵结构的热传导等效计算公式,提出了热传导等效分析模型的建模方法。运用等效建模方法,建立了点阵结构的等效有限元模型,通过对比非等效有限元模型的计算结果,证明了等效有限元模型热传导分析的高效性与准确性。针对功能与性能要求下的点阵结构优化设计问题,结合所提出的热传导等效分析方法给出了点阵结构优化方法并建立优化数学模型,利用混合整数序列二次规划(MISQP)算法进行迭代计算,得到了最优设计方案,使点阵结构在满足均热性能约束的同时质量得到了降低。

关键词: 航天结构, 点阵结构, 热传导分析, 等效模型, 结构优化

Abstract: In order to achieve efficient and accurate thermal conduction analysis of three-dimensional lattice, based on the principle of thermodynamics, the equivalent heat conduction formula of lattice structure is deduced, and the modeling method of the equivalent heat conduction analysis model is proposed.The equivalent finite element model of lattice structure is established by using equivalent modeling method.Then the efficiency and accuracy of the heat conduction analysis of the equivalent model are proved by comparing with the results of the non-equivalent finite element model. Aimed at the optimization design of lattice structure under the requirement of function and performance, the lattice structure optimization method is given and the optimization mathematical model is established based on the proposed equivalent analysis method. The mixed integer sequential quadratic programming (MISQP) algorithm is used for iterative computation and the optimal design scheme is obtained, which makes the lattice structure meet the thermal performance constraints and mass has been reduced.

Key words: space structure, lattice structure, heat conduction analysis, equivalent model, structure optimization

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