Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (3): 865-871.doi: 10.13229/j.cnki.jdxbgxb20180309

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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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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

CLC Number: 

  • O342

Fig.1

Idealised hinging octahedron model and its two?dimensional projections in three axes"

Fig.2

Dimensions of finite element model of octahedron model"

Fig.3

Schematic diagram of hinging octahedronmodel when subjected to force along oneon?axis direction"

Fig.4

Simulated linear compressibilities of hinging octahedron model compared with theoretical results predicated by idealised hinging model"

Fig.5

Deformation analysis of the flexure hinge"

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