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Journal of Tsinghua University(Science and Technology)    2018, Vol. 58 Issue (6) : 529-538     DOI: 10.16511/j.cnki.qhdxxb.2018.22.023
MECHANICAL ENGINEERING |
Multi-objective optimization of loaded spiral bevel and hypoid gears
WANG Qi, ZHOU Chi, GUI Liangjin, FAN Zijie
State Key Laboratory of Automotive Safety and Energy, Department of Automotive Engineering, Tsinghua University, Beijing 100084, China
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Abstract  The loaded stresses in the tooth flank of spiral bevel and hypoid gears were optimized without a trial-and-error procedure in a multi-objective optimization model. The multi-objective optimization model was developed considering the maximum contact pressure, load transmission error, load contact pattern and the maximum bending stress. A semi-analytical loaded tooth contact analysis model for the root bending stress was developed to calculate the objectives and constraints. Kriging surrogate models of the objectives and constraints together with a multi-objective genetic algorithm were used to solve the optimization model. The model was then used to optimize a spiral bevel gear pair for a drive axle. The loaded contact pattern was completely in the ideal zone with the maximum contact pressure decreased by 11.7%, the loaded transmission error decreased by 27.9% and the maximum bending stresses in the wheel and pinion decreased by 2.0% and 12.6%. The optimal design was installed in a drive axle for loaded contact tests that showed that the actual loaded contact pattern coincided well with the predicted loaded contact pattern, which verified the accuracy of the optimization approach.
Keywords spiral bevel and hypoid gear      tooth flank optimization      loaded tooth contact analysis      loaded contact performance     
Issue Date: 15 June 2018
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WANG Qi
ZHOU Chi
GUI Liangjin
FAN Zijie
Cite this article:   
WANG Qi,ZHOU Chi,GUI Liangjin, et al. Multi-objective optimization of loaded spiral bevel and hypoid gears[J]. Journal of Tsinghua University(Science and Technology), 2018, 58(6): 529-538.
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http://jst.tsinghuajournals.com/EN/10.16511/j.cnki.qhdxxb.2018.22.023     OR     http://jst.tsinghuajournals.com/EN/Y2018/V58/I6/529
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
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