Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (1): 29-35.doi: 10.13229/j.cnki.jdxbgxb20181027

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Multi⁃objective crashworthiness optimization design of concave triangles cell structure with negative Poisson′s ratio

Fang-wu MA1,2(),Hong-yu LIANG1,2,Ying ZHAO1,Meng YANG1,Yong-feng PU1   

  1. 1. State Key Laboratory of Automotive Simulation and Control，Jilin University, Changchun 130022，China
    2. Qingdao Automobile Research Institute, Jilin University，Qingdao 266000，China
  • Received:2018-09-06 Online:2020-01-01 Published:2020-02-06

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Abstract:

To design vehicle collision energy-absorbing structures with excellent crashworthiness, the concave triangle cell structure with negative Poisson's ratio was studied. The axial impact finite element model of the structure was established by explicit dynamic finite element software LS-DYNA. Combined with the optimal Latin hypercube design method, the polynomial surrogate model of the peak crush force (PCF) and the specific energy absorption (SEA) for horizontal size and thickness of the cell wall were constructed, respectively. The Non-dominated Sorting Genetic Algorithm-II (NSGA-II) was adopted to perform the multi-objective optimization design, and a compromise solution was obtained based on the fitness function C. The results show that the wall thickness has more obvious effect on crashworthiness of the energy-absorbing structure than horizontal cell wall size. The PCF can be effectively reduced and SEA can be improved by reasonable matching wall thickness and horizontal cell wall size．

Key words: vehicle engineering, collision energy absorption, negative Poisson′s ratio, axial impact, multi-objective optimization

CLC Number: 

  • U465.9

Fig.1

Concave triangles cell structure with negative Poisson′s ratio"

Fig.2

Schematic diagram of model and under in?plane impact"

Fig.3

Energy curve of concave triangles material with negative Poisson′s ratio"

Fig.4

Nominal stress?strain curve of cellular material"

Fig.5

Deformation modes of concave triangles material with negative Poisson′s ratio"

Fig.6

Energy absorption curve of different horizontal short wall height h values"

Fig.7

Sample point construction distribution based on optimal Latin hypercube"

Fig.8

9 sets of sample points and models"

Table 1

Target response value of sampling point"

样本点 相对密度Δρ PCF/kN SEA/（kJ?kg–1）
（3，1.5） 0.163 3 2.844 71 3.516
（4,2.25） 0.230 2 5.553 31 7.095
（5,3） 0.287 3 8.470 96 10.626
（6,1.25） 0.142 0 2.670 49 3.418
（7,2） 0.209 6 5.931 79 7.115
（8,2.75） 0.267 3 9.053 34 10.451
（9,1） 0.122 5 3.599 93 2.455
（10,1.75） 0.190 7 5.387 62 4.072
（11,2.5） 0.248 2 10.4531 8.650

Fig.9

Response surface for peak compressions force"

Fig.10

Response surface for special energy absorption"

Fig.11

Pareto front of concave triangles material with negative Poisson′s ratio"

Table 2

Optimization results"

模 型 a/mm b/mm PCF/kN SEA/（kJ?kg–1）
初始模型 8.0 2.750 9.053 3 9.912
优化模型 5.4 2.845 8.151 7 10.233
验证模型 5.4 2.845 8.152 0 10.363
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