Optimization algorithm and experiment of a two-disk rotor system
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摘要: 为了讨论不同优化算法的效果差异,利用有限元分析技术,针对典型1-0-1支承方案的双盘转子系统进行建模仿真,在分析其动力学特性的基础上,联合多学科优化软件ISIGHT,将两转盘位置作为优化变量,以1阶临界转速在10%内的变化为约束条件,采用不同的优化算法:进化算法(EVOL)、多岛遗传算法(MIGA)、邻域培植遗传算法(NCGA)、第二代非支配排序遗传算法(NSGA-Ⅱ)以及Pointer方法,最小化过1阶临界转速时两转盘的最大振幅,得到两转盘的最优位置.在高速柔性模拟转子试验器上进行了瞬态试验,结果表明,NSGA-Ⅱ只需要计算240个点,就可以使两转盘振幅分别下降76.94%和67.42%.因此,NSGA-Ⅱ是最适合该类转子系统的优化方法.
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关键词:
- 双盘转子 /
- 优化算法 /
- 多目标优化 /
- 第二代非支配排序遗传算法 /
- ISIGHT软件
Abstract: In order to analyze the performance difference of several optimization algorithms, a model of two-disk rotor system with typical 1-0-1 support scheme was established and the dynamic characteristics were analysed by finite element analysis technology. On this basis, the two-disk rotor system model was integrated to the multidisciplinary design optimization software ISIGHT. The positions of the two disks were selected as the optimization variables, the first order critical speed with the variation range of 10% was set as the constraint, and the optimization objective was to minimize the amplitudes of the two disks crossing the first order critical speed with several different algorithms including evolutionary optimization (EVOL), multi-island genetic algorithm (MIGA), neighborhood cultivation genetic algorithm (NCGA), non-dominated sorting genetic algorithm Ⅱ (NSGA-Ⅱ) and Pointer. The transient experiment was carried out on a high-speed flexible rotor mockup. Experimental results indicated that NSGA-Ⅱ made the two disks' amplitudes decreased 76.94% and 67.42% respectively with the calculation of 240 points. It can be concluded that NSGA-Ⅱ was the best optimization algorithm for the rotor system of this type. -
[1] 顾家柳,丁奎元,刘启洲,等.转子动力学[M].北京:国防工业出版社,1985. [2] Lee D S,Choi D H.Reduced weight design of a flexible rotor with ball bearing stiffness characteristics varying with rotational speed and load[J].Journal of Vibration and Acoustics,2000,122(3):203-208. [3] Pugachev A O.Application of gradient-based optimization methods for a rotor system with static stress,natural frequency,and harmonic response constraints[J].Structural and Multidisciplinary Optimization,2013,47(6):951-962. [4] Choi B K,Yang B S.Multiobjective optimum design of rotor-bearing systems with dynamic constraints using immune-genetic algorithm[J].Journal of Engineering for Gas Turbines and Power,2001,123(1):78-81. [5] Hirani H,Suh N P.Journal bearing design using multiobjective genetic algorithm and axiomatic design approaches[J].Tribology International,2005,38(5):481-491. [6] Strauβ F,Inagaki M,Starke J.Reduction of vibration level in rotordynamics by design optimization[J].Structural and Multidisciplinary Optimization,2007,34(2):139-149. [7] 黄太平,罗贵火.转子动力学优化设计[J].航空动力学报,1994,9(2):113-116. HUANG Taiping,LUO Guihuo.Optimal design of rotor dynamics[J].Journal of Aerospace Power,1994,9(2):113-116.(in Chinese) [8] 朱芸.复杂转子系统支承阻尼优化设计[J].海军工程大学学报,2000(2):53-57. ZHU Yun.Optimal design of dampers of complex rotor-support systems[J].Journal of Naval University of Engineering,2000(2):53-57.(in Chinese) [9] 王东华,刘占生,窦唯.一种改进的转子系统临界转速调整方法[J].航空动力学报,2008,23(8):1449-1454. WANG Donghua,LIU Zhansheng,DOU Wei.Improved method for adjusting critical speed of rotor systems[J].Journal of Aerospace Power,2008,23(8):1449-1454.(in Chinese) [10] 马枚,李强华,王荣桥.航空发动机转子动力优化设计软件工具研究[J].北京航空航天大学学报,2002,28(2):217-220. MA Mei,LI Qianghua,WANG Rongqiao.Aeroengine multi-rotors dynamics optimum desing-model and tool[J].Journal of Beijing University of Aeronautics and Astronautics,2002,28(2):217-220.(in Chinese) [11] 姚学诗,周传荣.转子系统动力学优化设计研究[J].发电设备,2003,17(5):18-21. YAO Xueshi,ZHOU Chuanrong.Study on dynamically optimized design of rotor strings[J].Power Equipment,2003,17(5):18-21.(in Chinese) [12] 何柳,单鹏.气动变量参数化的压气机转子三维数值优化[J].航空动力学报,2010,25(4):884-890. HE Liu,SHAN Peng.Numerical aero-optimization method for three-dimensional compressor rotor with parameterized aerodynamic variables[J].Journal of Aerospace Power,2010,25(4):884-890.(in Chinese) [13] 于瑾,高建,任朝辉.转子系统的动态优化设计研究[J].机械设计与制造,2012(4):241-243. YU Jin,GAO Jian,REN Chaohui.Study on dynamic optimization design of the rotor system[J].Machinery Design and Manufacture,2012(4):241-243.(in Chinese) [14] 薛风先,胡仁喜,康士廷.ANSYS 12.0机械与结构有限元分析从入门到精髓[M].北京:机械工业出版社,2010. [15] 刘保国,吴永,殷学纲.转子动力学系统的灵敏度分析与动力学修改[J].机械强度,2001,23(1):95-97. LIU Baoguo,WU Yong,YIN Xuegang.Sensitivity analysis and dynamic modification of rotor dynamic system[J].Journal of Mechanical Strength,2001,23(1):95-97.(in Chinese) [16] 赖宇阳,姜欣,方立桥.ISIGHT 参数优化理论与实例详解[M].北京:北京航空航天大学出版社,2012. [17] Zitzler E,Laumanns M,Thiele L.SPEA2:improving the strength Pareto evolutionary algorithm[R].Swiss Federal Institute of Technology TIK-Report 103,2001. [18] Srinivas N,Deb K.Multiobjective optimization using nondominated sorting in genetic algorithms[J].Evolutionary Computation,1995,2(3):221-248.
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