基于Taguchi方法的转子系统动力学容差设计

Taguchi method based tolerance design for rotor system dynamics

提出了基于Taguchi方法的转子系统动力学容差设计理论.从结构的动力响应要求出发,以Taguchi方法为基础,对结构的制造及装配容差进行动力学容差设计,减小结构在制造过程的设计参数不确定和安装工艺不确定影响下其动力响应的波动.该设计过程为:①通过正交试验及方差分析完成参数设计,初步确定符合要求的参数设计值组合;②确定容差设计的初始设计值及初始设计范围,确定目标函数,形成多目标优化问题;③利用遗传算法对多目标优化问题进行解算,得到容差设计结果.对某型双转子航空发动机具有初始不平衡量轮盘的安装工艺进行了容差设计.设计表明:具有初始不平衡量的轮盘在装配时通过控制不平衡量的幅值及相位角差的搭配可有效降低支承振动响应,设计后支承最大振动响应合格率由17.7%提高至97%,验证了该设计理论的可行性.

A novel method based on Taguchi＇s method was proposed for tolerance design for rotor system dynamics.It reduces structural dynamic response variation of rotor system due to uncertainties of design parameters and assembly process,by tolerance design of manufacturing and assembly parameters.The approach was performed by the following steps：（1）Design parameters through orthogonal array experiments and ANOVA（analysis of variance）,initially determining level combination of design parameters meeting design requirements;（2）Determine initial nominal value and range of design parameters for tolerance design,set up objective function and form multi-objective optimization;（3）Solve the multiobjective optimization problem by genetic algorithm and get the tolerance design results.A tolerance design of initial unbalanced discs assembly for a twin-spool aero-engine was carried out.The results show that bearing vibration response can be decreased by matching of initialunbalance amplitude and phase angle differences,and qualified rate of maximum bearing vibration response is increased from 17.7% to 97%,which can verify the feasibility of the method.