吉林大学学报(工学版) ›› 2019, Vol. 49 ›› Issue (3): 865-871.doi: 10.13229/j.cnki.jdxbgxb20180309

• • 上一篇    下一篇

具有负压缩性的铰接八面体结构的有限元分析

周晓勤1(),杨璐1,张磊1,陈立军2()   

  1. 1. 吉林大学 机械与航空航天工程学院，长春 130022
    2. 吉林大学 大数据和网络管理中心, 长春 130022
  • 收稿日期:2018-04-09 出版日期:2019-05-01 发布日期:2019-07-12
  • 通讯作者: 陈立军 E-mail:xqzhou@jlu.edu.cn;clj@jlu.edu.cn
  • 作者简介:周晓勤（1967?），男，教授，博士生导师. 研究方向：超构材料. E?mail:xqzhou@jlu.edu.cn
  • 基金资助:
    国家自然科学基金项目(51475208)

Finite element analysis of hinging octahedron structure withnegative compressibility

Xiao⁃qin ZHOU1(),Lu YANG1,Lei ZHANG1,Li⁃jun CHEN2()   

  1. 1. College of Mechanical Science and Aerospace Engineering, Jinlin University, Changchun 130022, China
    2. Big Data and Network Management Center, Jilin University, Changchun 130022, China
  • Received:2018-04-09 Online:2019-05-01 Published:2019-07-12
  • Contact: Li?jun CHEN E-mail:xqzhou@jlu.edu.cn;clj@jlu.edu.cn

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摘要：

为探究铰接八面体结构的线压缩性与模型几何参数之间的内在关联，对该三维结构进行了有限元分析。在保证其他几何尺寸不变的前提下，通过改变杆长比l1/l2和杆件夹角θ1，建立了不同的有限元模型。具体讨论了杆长比和杆件夹角对该结构轴向线负压缩性（即NLC）大小和范围的影响。研究发现，通过合理地选择几何参数，该结构在3个轴线方向上均可存在线负压缩性，其中杆件夹角θ1的大小决定了线压缩性的正负，杆长比l1/l2的大小则决定了负压缩性的大小和存在范围。

关键词: 固体力学, 负压缩, 有限元法, 铰接八面体结构

Abstract:

In order to investigate the inherent link between the linear compressibility properties and the geometrical parameters, the 3D hinging octahedron structure was analyzed by a finite element method. With constant geometry size, different finite element models were established by changing the rod length ratio of l1/l2 and angle θ1 between the two rods. The effects of these two structure parameters on the magnitude as well as the range of negative linear compressibility (i.e. NLC) of this structure were analyzed and discussed. It is shown that through carefully choosing the geometry parameters, NLC can be exhibited in this model along the three?axis directions. More specifically, the sign of the linear compressibility is determined by the angle θ1 while the magnitude and range of NLC are determined by the l1/l2 ratio.

Key words: solid mechanics, negative compressibility, finite element method, hinging octahedron structure

中图分类号: 

  • O342

图1

理想铰接八面体结构及其各方向的投影"

图2

铰接八面体结构单胞有限元模型的几何尺寸"

图3

铰接八面体结构单方向加载示意图"

图4

铰接八面体结构线压缩性的理论结果与仿真结果对比"

图5

杆件柔性铰处的变形分析"

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