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    • Optimization and Robustness Analysis of the Torsional Vibration Characteristics of a Vehicular Range-Extender
    DOI：10.13949/j.cnki.nrjgc.2022.01.010
    Key Words:vehicular range-extender  shaft torsional vibration  multi-objective optimization  robustness analysis
    Author NameAffiliationE-mail
    Lü Mengyang* School of Automotive Studies， Tongji University， Shanghai 201804， China 1933486@tongji.edu.cn 
    HAN Zhiyu* School of Automotive Studies， Tongji University， Shanghai 201804， China hanzhiyu@tongji.edu.cn 
    WU Zhenkuo School of Automotive Studies， Tongji University， Shanghai 201804， China  
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    Abstract:Multi-objective multi-parameter optimization and robustness analysis of the torsional vibration characteristics was carried out for the range-extender’s shaft system equipped with a dual-mass flywheel（DMF） in a hybrid electric vehicle. The torsional dynamic model was developed in the simulation software Amesim. The model was then verified by comparing the simulated and measured speed fluctuations at the free end of a range-extender shaft system， and it was found that the model can reproduce the experiment results well. Fourteen main design parameters such as inertia， torsional stiffness and damping of each shaft segment were optimized for six torsional-vibration objectives including the total inertia of the shaft system， key nodes’ angular acceleration and the sum of torque transmitted between nodes at the range-extender’s typical steady-state working conditions. The non-dominated sorting genetic algorithm Ⅱ（NSGA—Ⅱ） method was used and the constraints of the shafting strength， deformation and low-order natural torsional vibration characteristics were adopted. The design robustness of the shaft system was analyzed with the use of separated parameter-perturbations. Results show that the fatigue strength of DMF springs and low-order natural torsional vibration characteristics are improved to meet the constraints and most of the optimization objectives are achieved. And the damping pulley and the primary flywheel angular acceleration are of good robustness. However， under the given disturbance conditions， there is a certain probability that the second-order modal damping ratio does not meet the design constraints， and the disturbances of some design parameters exceed the allowable ranges.
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