• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2020, Vol. 56 ›› Issue (1): 119-131.doi: 10.3901/JME.2020.01.119

• 数字化设计与制造 • 上一篇    下一篇

N-1型多面体夹芯结构体胞演化机理与性能正向设计

冯毅雄, 邱皓, 高一聪, 郑浩, 曾思远, 谭建荣   

  1. 浙江大学流体传动及控制国家重点实验室 杭州 310027
  • 收稿日期:2019-01-11 修回日期:2019-07-14 出版日期:2020-01-05 发布日期:2020-03-09
  • 通讯作者: 高一聪(通信作者),男,1982年出生,博士,副教授,硕士研究生导师。主要研究方向为产品设计方法学。E-mail:gaoyicong@zju.edu.cn
  • 作者简介:冯毅雄,男,1975年出生,博士,教授,博士研究生导师。主要研究方向为现代设计理论与方法。E-mail:fyxtv@zju.edu.cn;邱皓,女,1997年出生,博士研究生。主要研究方向为折纸工程,复合多面体夹芯结构设计。E-mail:11725066@zju.edu.cn;郑浩,男,1988年出生,博士,博士后。主要研究方向为产品设计理论、智能设计与信息融合技术。E-mail:haozheng@zju.edu.cn;曾思远,男,1995年出生,博士研究生。主要研究方向为记忆材料、3D打印、4D打印。E-mail:zsyuandy@foxmail.com;谭建荣,男,1954年出生,博士,教授,博士研究生导师,中国工程院院士。主要研究方向为CAX方法学、工程图学、企业信息化。E-mail:egi@zju.edu.cn
  • 基金资助:
    国家自然科学基金(51775489,51675477)和浙江省自然科学基金(LZ18E 050001)资助项目。

Evolution Mechanism of Unit Cell and Performance Forward Design of N-1 Type Polyhedral Sandwich Structure

FENG Yixiong, QIU Hao, GAO Yicong, ZHENG Hao, ZENG Siyuan, TAN Jianrong   

  1. State Key Lab of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027
  • Received:2019-01-11 Revised:2019-07-14 Online:2020-01-05 Published:2020-03-09

摘要: N-1型多面体夹芯结构是一种新型的三明治类夹芯结构,具有比强度高、耐热性好、抗冲击等特性。针对N-1型多面体夹芯结构性能优化过程中,由于设计机理不明导致设计空间复杂、优化计算量大、优化结果局部最优等问题,提出基于体胞演化机理的N-1型多面体夹芯结构剪切性能正向设计。对N-1型正则多面体体胞进行几何特征分析,定义基础体胞及演化基础圆,将N-1型正则多面体体胞分为相切体胞、外相交体胞和内相交体胞。提出基于演化基础圆和基础体胞的N-1型多面体体胞相似演化模式,揭示体胞平面拓扑到空间拓扑演化机理,通过求解演化参数可行域,建立体胞演化叠合成形窗口。分析演化参数及板厚对N-1型多面体夹芯结构剪切性能的影响,确定N-1型多面体夹芯结构剪切性能空间分布及优化空间域。在此基础上,建立基于Kriging近似技术的多面体夹芯结构剪切性能优化模型,正向优化得到剪切性能全局最优的N-1型多面体夹芯板。最后,通过与瓦楞夹芯结构比较,验证了该结构的可靠性,为设计正则多面体夹芯结构提供理论依据。

关键词: 体胞, 演化, 正向设计, 多面体夹芯结构

Abstract: N-1 type polyhedral sandwich structure is a kind of sandwich structure which has the advantages of high specific strength, good heat resistance and impact resistance. In the process of structure optimization, the complexity of design space and calculation lead to local optimum results. In order to solve this problem, forward design method for shear performance of N-1 type polyhedral sandwich structure based on the evolution mechanism of unit cell is proposed. Firstly, the geometric feature of N-1 type polyhedral unit cell is analyzed. The fundamental cells and evolutionary circles are defined. N-1 type polyhedral unit cells were divided into tangent cells, outer intersected cells and inner intersected cells. Secondly, the similarity evolution pattern of N-1 type polyhedral unit cell is constructed based on basic cell and evolutionary circles. The evolution mechanisms between 2D topology and 3D topology is obtained. And the feasible windows of unit cell evolution are put forward by calculating the feasible domain of evolution parameters. Thirdly, optimization domain and spatial distribution of N-1 type polyhedral sandwich structure shear performance are determined by analyzing the relationship between evolution parameters, thickness and shear properties. Then, the optimization model for shear performance of N-1 type polyhedral sandwich structure is established based on the Kriging approximation technique and obtained the N-1 polyhedral sandwich panel with globally optimal shear performance. Finally, the reliability of the structure is verified by comparison with the corrugated sandwich structure, which provides a theoretical basis for designing the regular polyhedral sandwich structure.

Key words: unit cell, evolution, forward design, polyhedral sandwich structure

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