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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

邮发代号 80-975

2019 Impact Factor: 2.448

Frontiers of Mechanical Engineering  2022, Vol. 17 Issue (3): 45   https://doi.org/10.1007/s11465-022-0701-7
  本期目录
Fatigue and impact analysis and multi-objective optimization design of Mg/Al assembled wheel considering riveting residual stress
Wenchao XU, Dengfeng WANG()
State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China
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Abstract

The multi-material assembled light alloy wheel presents an effective lightweight solution for new energy vehicles, but its riveting connection remains a problem. To address this problem, this paper proposed the explicit riveting-implicit springback-implicit fatigue/explicit impact sequence coupling simulation analysis method, analyzed the fatigue and impact performance of the punching riveting connected magnesium/aluminum alloy (Mg/Al) assembled wheel, and constructed some major evaluation indicators. The accuracy of the proposed simulation method was verified by conducting physical experiments of single and cross lap joints. The punching riveting process parameters of the assembled wheel joints were defined as design variables, and the fatigue and impact performance of the assembled wheel was defined as the optimization objective. The connection-performance integration multi-objective optimization design of the assembled wheel considering riveting residual stress was designed via Taguchi experiment, grey relational analysis, analytic hierarchy process, principal component analysis, and entropy weighting methods. The optimization results of the three weighting methods were compared, and the optimal combination of design variables was determined. The fatigue and impact performance of the Mg/Al assembled wheel were effectively improved after optimization.

Key wordsmagnesium/aluminum assembled wheel    riveting residual stress    fatigue analysis    impact analysis    multi-objective optimization
收稿日期: 2022-01-01      出版日期: 2022-11-03
Corresponding Author(s): Dengfeng WANG   
 引用本文:   
. [J]. Frontiers of Mechanical Engineering, 2022, 17(3): 45.
Wenchao XU, Dengfeng WANG. Fatigue and impact analysis and multi-objective optimization design of Mg/Al assembled wheel considering riveting residual stress. Front. Mech. Eng., 2022, 17(3): 45.
 链接本文:  
https://academic.hep.com.cn/fme/CN/10.1007/s11465-022-0701-7
https://academic.hep.com.cn/fme/CN/Y2022/V17/I3/45
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Level Groove diameter of the upper riveting die, x1/mm Groove height of the upper riveting die, x2/mm Riveting displacement factor, x3 Extension of the rivet rod, x4/mm
1 8.70 2.50 0.80 6.00
2 9.00 2.70 0.83 6.40
3 9.30 2.90 0.86 6.80
Tab.1  
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Abbreviations
AHP Analytic hierarchy process
BCSLIB-EXT Boeing’s Extreme Mathematical Library
BFGS Broyden-Fletcher-Goldfarb-Shanno
DOE Design of experiment
DOF Degree of freedom
FE Finite element
GRA Grey relational analysis
GRG Grey relational grade
Mg/Al Magnesium/aluminum alloy
PCA Principal component analysis
S/R Selectively reduced
Variables
B Comparison judgment matrix
Er(x) Energy absorption of the rim under the 90° impact condition
SCR-bend(x), SCR-radial(x) Maximum bending and radial compressive stresses at the rivet, respectively
SCs-bend(x), SCs-radial(x) Maximum bending and radial compressive stresses at the spoke riveting hole, respectively
STR-bend(x), STR-radia(x) Maximum bending and radial tensile stresses at the rivet, respectively
STs-bend(x), STs-radial(x) Maximum bending and radial tensile stresses at the spoke riveting hole, respectively
S13-s(x) Maximum von Mises strain of the spoke under the 13° impact condition
Wc, Wt Weight coefficients of the maximum compressive and tensile stresses, respectively
x1, x2 Groove diameter and height of the upper riveting die, respectively
x3 Riveting displacement factor
x4 Extension of the rivet rod
x Vector of design variables
xL Lower limits of the vector x
xU Upper limits of the vector x
  
Group x1/mm x2/mm x3 x4/mm
1 8.70 2.50 0.80 6.00
2 8.70 2.70 0.83 6.40
3 8.70 2.90 0.86 6.80
4 9.00 2.50 0.83 6.80
5 9.00 2.70 0.86 6.00
6 9.00 2.90 0.80 6.40
7 9.30 2.50 0.86 6.40
8 9.30 2.70 0.80 6.80
9 9.30 2.90 0.83 6.00
  
Group STs-bend/MPa SCs-bend/MPa STR-bend/MPa SCR-bend/MPa STs-radial/MPa SCs-radial/MPa STR-radial/MPa SCR-radial/MPa S13-s/MPa Er/J
1 317.8 660.8 485.0 508.6 306.7 655.6 485.0 508.6 0.1339 707.36
2 377.5 716.5 529.4 519.2 398.5 712.4 529.4 519.2 0.1342 715.41
3 408.8 807.6 548.9 515.6 409.7 812.5 548.9 515.6 0.1302 710.30
4 380.7 790.8 564.6 523.0 387.0 790.0 564.6 523.0 0.1311 703.55
5 392.4 668.9 499.6 507.9 388.6 653.4 499.5 507.9 0.1324 709.43
6 297.3 608.0 436.4 343.8 293.4 601.3 436.4 343.8 0.1378 714.95
7 328.6 728.3 488.8 511.1 319.3 742.4 488.8 511.1 0.1313 717.09
8 309.4 632.7 481.2 473.0 305.4 636.0 481.8 473.0 0.1337 705.94
9 334.8 587.8 441.0 357.7 336.6 594.7 441.0 357.7 0.1407 701.49
  
Group GRC
STs-bend SCs-bend STR-bend SCR-bend STs-radial SCs-radial STR-radial SCR-radial S13-s Er
Reference experiment 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
1 0.731 0.428 0.569 0.862 0.814 0.410 0.569 0.862 0.587 0.571
2 0.410 0.547 0.408 0.959 0.356 0.521 0.408 0.959 0.568 0.359
3 0.333 1.000 0.363 0.924 0.333 1.000 0.363 0.924 1.000 0.470
4 0.401 0.867 0.333 1.000 0.383 0.829 0.333 1.000 0.854 0.791
5 0.370 0.442 0.504 0.856 0.379 0.406 0.504 0.856 0.705 0.496
6 1.000 0.355 1.000 0.333 1.000 0.340 1.000 0.333 0.409 0.367
7 0.640 0.581 0.550 0.883 0.692 0.608 0.550 0.883 0.827 0.333
8 0.822 0.386 0.589 0.642 0.829 0.382 0.585 0.642 0.600 0.637
9 0.598 0.333 0.933 0.352 0.574 0.333 0.933 0.352 0.333 1.000
  
Wt/Wp Weight
STs-bend SCs-bend STR-bend SCR-bend STs-radial SCs-radial STR-radial SCR-radial S13-s Er
0.9:0.1 0.2139 0.0238 0.2139 0.0238 0.1748 0.0194 0.1748 0.0194 0.0823 0.0538
0.8:0.2 0.1902 0.0475 0.1902 0.0475 0.1554 0.0388 0.1554 0.0388 0.0823 0.0538
0.7:0.3 0.1664 0.0713 0.1664 0.0713 0.1360 0.0583 0.1360 0.0583 0.0823 0.0538
0.6:0.4 0.1426 0.0951 0.1426 0.0951 0.1165 0.0777 0.1165 0.0777 0.0823 0.0538
0.5:0.5 0.1188 0.1188 0.1188 0.1188 0.0971 0.0971 0.0971 0.0971 0.0823 0.0538
  
Group GRG
En PCA AHP-0.9:0.1 AHP-0.8:0.2 AHP-0.7:0.3 AHP-0.6:0.4 AHP-0.5:0.5
Reference experiment 1.000 1.000 1.000 1.000 1.000 1.000 1.000
1 0.595 0.647 0.654 0.652 0.649 0.647 0.645
2 0.560 0.580 0.439 0.470 0.500 0.530 0.560
3 0.761 0.695 0.461 0.514 0.567 0.620 0.673
4 0.727 0.671 0.475 0.524 0.572 0.621 0.669
5 0.532 0.571 0.481 0.499 0.516 0.534 0.551
6 0.545 0.637 0.860 0.803 0.746 0.690 0.633
7 0.653 0.690 0.622 0.633 0.644 0.656 0.667
8 0.557 0.604 0.677 0.660 0.644 0.627 0.610
9 0.504 0.541 0.702 0.666 0.630 0.594 0.557
  
Objectives STs-bend/MPa SCs-bend/MPa STR-bend/MPa SCR-bend/MPa STs-radial/MPa SCs-radial/MPa STR-radial/MPa SCR-radial/MPa S13-s/MPa Er/J
Before optimization 425.9 1016.5 508.8 531.6 434.2 979.9 507.3 531.6 0.1368 725.06
Optimal scheme I 377.7 789.4 564.1 528.0 391.4 788.2 564.1 520.8 0.1306 705.55
Optimal scheme II 283.5 619.9 457.5 474.5 280.1 631.4 457.5 474.5 0.1335 706.67
Optimal scheme III 293.9 588.8 436.3 352.1 292.3 575.6 436.3 352.1 0.1199 719.08
  
  
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