【摘要】 为提升转子系统多目标优化的效率,首先对比分析了求解临界转速的坎贝尔图法和特征方程法,随后通过第二代非支配排序遗传算法(NSGA-II)和特征方程法对转子系统临界转速和重量进行了多目标优化。最后基于聚类分析和模糊隶属函数,给出了无偏好和有偏好情况下从最优折衷解集中选择最终方案的准则和方法。结果表明:特征方程法计算精度与坎贝尔图法相当,但效率远高于坎贝尔图法,更适合用于转子系统临界转速的优化;提出的准则和方法能够成功处理从最优折衷解集中进行选择的问题。更多还原

【Abstract】 To improve the efficiency of multiobjective optimization for rotor systems,the Direct method and Campbell diagram method for critical speed computation were compared and analyzed in this work. Then weight and critical speed distribution of a rotor system were optimized with the Direct method and NSGA-II. Finally,based on cluster analysis and the proposed fuzzy membership function,criterion and methodologies for selecting the most preferred solution from the Pareto Sets were given,with or without preference. The results show that the Direct method is much more efficient than the Campbell diagram method while retaining almost the same accuracy which makes it more suitable for critical speeds optimization. The proposed criterion and methodologies facilitate identifying the most preferred solution from the Pareto Sets.更多还原