Journal of Jilin University(Engineering and Technology Edition) ›› 2022, Vol. 52 ›› Issue (3): 716-724.doi: 10.13229/j.cnki.jdxbgxb20200838

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Crashworthiness investigation and optimization of bionic multi⁃cell tube based on shrimp chela

Han HUANG1(),Qing-hao YAN1,Zhi-xin XIANG1,Xin-tao YANG1,Jin-bao CHEN1,Shu-cai XU2()   

  1. 1.Academy of Astronautics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China
    2.State Key Laboratory of Automotive Safety and Energy,Tsinghua University,Beijing 100084,China
  • Received:2020-11-02 Online:2022-03-01 Published:2022-03-08
  • Contact: Shu-cai XU E-mail:huanghan@nuaa.edu.cn;xushc@tsinghua.edu.cn

Abstract:

In order to improve the crashworthiness of thin-walled absorber, a new type of bionic multi-cell tube was designed based on dactyl club microstructure of O. scyllarus. The crashworthiness of bionic multi-cell tubes with different herringbone ratios η (the ratio of herringbone height A and width λ) were comprehensively investigated under different loading angles (θ=0o, 10o, 20o and 30o, respectively). The bionic multi-cell tube presents progressive folding deformation mode under axial (θ=0o) and small oblique loading angle (θ=10o). Compared with axial loading condition, the bionic multi-cell tubes have larger speci?c energy absorption Es and crush force ef?ciency Cf, but smaller peak crush force Fp when θ is 10o. A complex proportional assessment method was applied to solve this multi-criteria decision problem. The result shows that the bionic multi-cell tubes have superior crashworthiness when their η ranges from 0.6 to 1.0, and from 1.5 to 1.7, and η=1.5 was selected the best sectional con?guration herein. Following such optimal selection, a metamodel-based multiobjective optimization method based on polynomial regression metamodel and multiobjective particle optimization algorithm were adopted for the dimensions design of the optimal selection. The optimal parameters of thickness t ranges from 0.75 mm to 1.2 mm, element width λ ranges from 5.5 mm to 9.5 mm, the initial peak crush force Fp and maximum speci?c energy absorption Es is 59.8 kN and 13.28 kJ/kg, respectively. The bionic design and optimization method in this work hope to provide a reference for the lightweight design of thin-walled energy absorber.

Key words: engineering bionics, thin-walled tube, bionic structure, crashworthiness, multi-objective optimization

CLC Number: 

  • TB17

Fig.1

Design of the bionic multi-cell tube BMT"

Fig.2

Finite element model of the BMT"

Table 1

Weightage setting of crashworthiness criterias"

指标比较对数Wjwj
123
Fp23-55/12=0.417
Es2-355/12=0.417
Cf-1122/12=0.166

Fig.3

Deformation modes of tubes with different ηunder axial and oblique loading"

Fig.4

Crashworthiness criteria of BMTs underaxial and oblique impact"

Table 2

Weighted normalized decision matrix"

ηθ=0°θ=10°θ=20°θ=30°
Fp/10-4Es/10-4Cf/10-4Fp/10-4Es/10-4Cf/10-4Fp/10-4Es/10-4Cf/10-4Fp/10-4Es/10-4Cf/10-4
0.522.2422.406.6315.6222.769.5916.0612.585.1513.668.814.24
0.622.2224.467.2415.7724.2010.1015.9212.175.0313.649.224.45
0.722.3625.187.4116.3124.379.8315.3611.935.1113.459.134.47
0.823.7124.506.8016.0723.789.7315.2712.025.1812.828.924.57
0.924.1324.676.7315.7423.699.9015.0311.895.2014.018.944.20
1.022.1723.446.9515.4322.939.7814.5811.545.2113.548.744.25
1.122.2823.807.0315.1722.249.6515.2210.684.6213.628.414.06
1.224.1423.306.3515.0821.599.4214.9811.304.9613.308.184.04
1.322.1223.016.8414.5821.499.7014.3311.265.1713.308.234.07
1.423.2622.666.4114.5120.789.4213.9011.875.6213.338.003.95
1.524.1022.256.0714.5220.059.0813.7818.268.7212.417.724.09
1.623.7221.595.9914.0119.319.0713.4217.798.7212.307.554.04
1.722.2221.246.2913.3019.199.4913.0012.736.4512.037.564.13
1.822.1420.696.1513.2118.679.3014.3312.745.8512.137.494.06
1.922.1320.926.2213.9118.158.5813.3412.676.2512.437.133.78
2.022.5621.406.2413.0218.759.4713.8011.495.4811.697.324.12

Table 3

Result of COPRAS"

ηS+iS-iQi排名
0.50.009 220.006 760.015510
0.60.009 690.006 760.01604
0.70.009 740.006 750.01603
0.80.009 550.006 790.01585
0.90.009 520.006 890.01578
1.00.009 280.006 570.01576
1.10.009 050.006 630.015411
1.20.008 910.006 750.015216
1.30.008 980.006 430.01569
1.40.008 870.006 500.015412
1.50.009 620.006 480.01621
1.60.009 400.006 340.01612
1.70.008 710.006 050.01577
1.80.008 490.006 180.015314
1.90.008 370.006 180.015215
2.00.008 430.006 110.015413

Table 4

Weight for different design cases"

工况w1w2w3w4
11.000.000.000.00
20.001.000.000.00
30.000.001.000.00
40.000.000.001.00
50.100.200.300.40
60.250.250.250.25
70.400.300.200.10

Table 5

Error analysis"

优化目标θ/(°)R2MARE/%RMSE
Fp00.99962.730.3522
100.99913.070.4944
200.99605.930.8884
300.99368.710.9947
Es00.98755.640.2716
100.99601.060.0430
200.96475.340.1031
300.97253.420.0564

Fig.5

Pareto frontiers for different design cases"

Table 6

Optimum results of different design cases"

工况t/mmλ/mmFp/kNEs/(kJ·kg-1
11.055.559.8013.28
21.205.554.8513.02
30.909.029.536.09
40.809.521.083.41
50.757.026.966.34
60.856.535.198.05
71.006.046.6710.18
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