多支点柔性转子系统临界转速稳健设计方法
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摘要
基于响应面法和容差模型提出了定量考虑参数变差影响的转子系统临界转速稳健设计方法。该方法利用响应面模型获得多参数、多目标之间的函数关系,并以多阶临界转速分布为约束条件、以临界转速对支承刚度变差敏感度最低为设计目标。对小涵道比涡扇发动机低压转子系统临界转速稳健设计结果表明:在考虑各支点支承刚度变差情况下,采用多参数、多目标稳健设计方法,可保证多支点柔性转子系统的临界转速特性在满足设计要求的同时,转子系统临界转速对支承刚度变差的敏感度最低,验证了该方法的有效性。
A method for robust design using response surface method and tolerance model to consider the variation of the influencing factors of the rotor system was proposed.According to this method,response surface methodology was used to obtain the functional relationship between multi-parameters and multi-objectives,while the multi-order critical speed distribution was taken as the constraint condition,and the sensitivity of the critical speed to minimize the variation of the support stiffness was formulated for the design goal.This proposed method was applied to the critical speed distribution design of low-pressure rotor system of a small bypass ratio turbofan engine.In consideration of the variation of each support stiffness,the critical speed distribution of the flexible rotor system meets the given standards.Meanwhile,the sensitivity of the critical speed to the variation of the support stiffness is lowest,proving that this method is feasible and effective.
A method for robust design using response surface method and tolerance model to consider the variation of the influencing factors of the rotor system was proposed.According to this method,response surface methodology was used to obtain the functional relationship between multi-parameters and multi-objectives,while the multi-order critical speed distribution was taken as the constraint condition,and the sensitivity of the critical speed to minimize the variation of the support stiffness was formulated for the design goal.This proposed method was applied to the critical speed distribution design of low-pressure rotor system of a small bypass ratio turbofan engine.In consideration of the variation of each support stiffness,the critical speed distribution of the flexible rotor system meets the given standards.Meanwhile,the sensitivity of the critical speed to the variation of the support stiffness is lowest,proving that this method is feasible and effective.
引文
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[19]马艳红,曹冲,李鑫,等.航空发动机承力系统结构效率评估方法[J].航空动力学报,2016,31(2):274-281.MA Yanhong,CAO Chong,LI Xin,et al.Assessment method of structural efficiency on bearing system in aero-engine[J].Journal of Aerospace Power,2016,31(2):274-281.(in Chinese)
[20]隋允康,宇慧平.响应面方法的改进及其对工程优化的应用[M].北京:科学出版社,2011:12-14.
[2]史亚杰,王孝利,洪杰,等.柔性转子动力学特性研究[J].航空发动机,2005,31(1):14-17.SHI Yajie,WANG Xiaoli,HONG Jie,et al.Investigation of dynamic characteristics of flexible rotor system[J].Aeroengine,2005,31(1):14-17.(in Chinese)
[3]洪杰,马艳红,张大义.航空燃气轮机总体结构设计与动力学分析[M].北京:北京航空航天大学出版社,2014:433-448.
[4]SHIAU T N,HWANG J L.Minimum weight design of a rotor bearing system with multiple frequency constraints[J].Journal of Engineering for Gas Turbines and Power,1988,110(4):592-599.
[5]LIN Yihhwang,LIN Shengcheng.Optimal weight design of rotor systems with oil-film bearings subjected to frequency constraints[J].Finite Elements in Analysis and Design,2001,37(10):777-798.
[6]KIM Y H,TAN A,YANG B S,et al.Optimum shape design of rotating shaft by ESO method[J].Journal of Mechanical Science and Technology,2007,21(7):1039-1047.
[7]ZHONG Wan,PALAZZOLO A.Magnetic bearing rotor dynamic system optimization using multi-objective genetic algorithms[J].Journal of Dynamic Systems,Measurement,and Control,2015,137(2):021012.1-021012.12.
[8]陈立周.稳健设计[M].北京:机械工业出版社,2000:130-230.
[9]CARIAPA V.Taguchi on robust technology development[J].Journal of Pressure Vessel Technol,1993,115(3):336-337.
[10]ONG Y S,NAIR P B,LUM K.Max-min surrogate-assisted evolutionary algorithm for robust design[J].IEEE Transactions on Evolutionary Computation,2006,10(4):392-404.
[11]韩金全,万敏,陈雪梅,等.飞机复杂蒙皮拉形工艺参数优化设计[J].塑性工程学报,2009,16(6):96-101.HAN Jinquan,WAN Min,CHEN Xuemei,et al.Optimization of process parameters in stretch forming of aircraft complex skin[J].Journal of Plasticity Engineering,2009,16(6):96-101.(in Chinese)
[12]彭茂林,杨自春,曹跃云,等.涡轮叶片低周疲劳可靠性稳健设计优化研究[J].中国电机工程学报,2013,33(11):104-111.PENG Maolin,YANG Zichun,CAO Yueyun,et al.Research on low cycle fatigue reliability-based robust design optimization of turbine blade[J].Proceedings of the CSEE,2013,33(11):104-111.(in Chinese)
[13]GUNAWAN S,AZARM S.Multi-objective robust optimization using a sensitivity region concept[J].Structural and Multidisciplinary Optimization,2004,29(1):50-60.
[14]MICHAEL W,SIDDALL J N.The optimization problem with optimal tolerance assignment and full acceptance[J].Journal of Mechanical Design,1981,103(4):842-848.
[15]PARKINSON A,SORENSEN C,POURHASSAN N.Ageneral approach for robust optimal design[J].Journal of Mechanical Design,1993,115(1):74-80.
[16]BATES R A,WYNN H P.Tolerancing and optimization for model:based robust engineering design[J].Quality and Reliability Engineering International,1996,12:119-127.
[17]PARKINSON A.Robust mechanical design using engineering models[J].Journal of Vibration and Acoustics,1995,117(1):48-54.
[18]彭茂林,杨自春,曹跃云,等.基于响应面法的可靠性稳健设计优化[J].航空动力学报,2013,28(8):1784-1790.PENG Maolin,YANG Zichun,CAO Yueyun,et al.Reliability robust design optimization based on response surface method[J].Journal of Aerospace Power,2013,28(8):1784-1790.(in Chinese)
[19]马艳红,曹冲,李鑫,等.航空发动机承力系统结构效率评估方法[J].航空动力学报,2016,31(2):274-281.MA Yanhong,CAO Chong,LI Xin,et al.Assessment method of structural efficiency on bearing system in aero-engine[J].Journal of Aerospace Power,2016,31(2):274-281.(in Chinese)
[20]隋允康,宇慧平.响应面方法的改进及其对工程优化的应用[M].北京:科学出版社,2011:12-14.