Modeling method and reduction of dual-rotor system with complicated structures
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摘要: 建立了包含复杂结构特征的双转子三维实体有限元模型,应用Craig-Bampton模态综合法实现了模型维度的缩减。通过对比临界转速和固有振动特性验证了缩减模型的准确性。在此基础上计算了双转子系统的临界转速谱和特定转速比下的临界转速值。结果表明:Craig-Bampton模态综合法成功地将双转子高维实体有限元模型缩减到仅有数十个(34个)自由度的低维模型,并保持前2阶临界转速误差和前6阶固有频率误差不超过0.43%。基于缩减单转子模型再按照边界条件耦合的分析方案有利于快速求解双转子临界转速等动力学问题。Abstract: A 3-D finite element model was established for the dual-rotor model including complicated geometries. By utilizing Craig-Bampton mode synthesis method, the model order reduction was carried out. Through comparative analyses in critical speed and eigen problems, the validity and efficiency of the reduced order model were verified. On this basis, the critical speed map and the value of critical speed under a constant ratio were calculated. Results showed that the high-dimensional solid finite model was successfully reduced to a lower one with only a few dozen degree of freedom (34 DOFs) by means of Craig-Bampton method, and the maximum error of the first two orders critical speed and the first six orders eigen value were kept less than 0.43%. Based on analysis of the framework in which the model is created by reducing the two single rotor subsystems and combining them under compatibility condition, dynamical problems such as critical speed can be easily solved.
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Key words:
- complicated geometry /
- dual-rotor system /
- mode synthesis /
- reduced model /
- finite element method /
- critical speed
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[1] 陈予恕,张华彪.航空发动机整机动力学研究进展与展望[J].航空学报,2011,32(8):1371-1391.CHEN Yushu,ZHANG Huabiao.Review and prospect on the research of dynamics of the aero-engine system[J].Acta Aeronautica et Astronautica Sinica,2011,32(8):1371-1391.(in Chinese) [2] 蒋云帆,廖明夫,刘永泉,等.同转/对转双转子系统的动力学特性[J].航空动力学报,2013,28(12):2771-2780.JIANG Yunfan,LIAO Mingfu,LIU Yongquan,et al.Dynamic characteristics of co-rotating/counter-rotating dual-rotor system[J].Journal of Aerospace Power,2013,28(12):2771-2780.(in Chinese) [3] 周海仑,陈果.航空发动机双转子-滚动轴承-机匣耦合系统动力学分析[J].航空动力学报,2009,24(6):1284-1291.ZHOU Hailun,CHEN Guo.Dynamic response analysis of dual rotor-ball bearing-stator coupling system for aero-engine[J].Journal of Aerospace Power 2009,24(6):1284-1291.(in Chinese) [4] 罗贵火,胡绚,杨喜关.反向旋转双转子系统非线性分析[J].振动工程学报,2009,22(3):268-273.LUO Guihuo,HU Xuan,YANG Xiguan.Nonlinear dynamic performance analysis of counter-rotating dual-rotor system[J].Journal of Vibration Engineering,2009,22(3):268-273.(in Chinese) [5] GUPTA K D,GUPTA K,ATHRE K.Unbalance response of a dual rotor system:theory and experiment[J].Journal of Vibration and Acoustics,1993,115(4):427-435. [6] 庞辉,李育锡,王三民.基于Riccati变换的整体传递矩阵法计算双转子临界转速研究[J].机械科学与技术,2005,24(7):832-834.PANG Hui,LI Yuxi,WANG Sanmin.Study of dual-rotor critical speed by whole transfer matrix method based on Riccati transformation[J].Journal of Mechanical Science and Technology,2005,24(7):832-834.(in Chinese) [7] 李永强,朱亮,刘宇,等.用整体传递矩阵法计算旋转机械整机固有频率特性[J].东北大学学报(自然科学版),2005,26(12):1178-1180.LI Yongqiang,ZHU Liang,LIU Yu,et al.Calculating natural frequency characteristics by integrated transfer matrix of complete set of rotary machines[J].Journal of Northeastern University (Natural Science),2005,26(12):1178-1180.(in Chinese) [8] HSIEH S C,CHEN J H,LEE A C.A modified transfer matrix method for the coupled lateral and torsional vibrations of asymmetric rotor-bearing systems[J].Journal of Sound and Vibration,2008,312(4/5):563-571. [9] SUN G,PALAZZOLO A,PROVENZA A,et al.Long duration blade loss simulations including thermal growths for dual-rotor gas turbine engine[J].Journal of Sound and Vibration,2008,316(1/2/3/4/5):147-163. [10] 陈果.双转子航空发动机整机振动建模与分析[J].振动工程学报,2011,24(6):619-632.CHEN Guo.Vibration modeling and analysis for dual-rotor aero-engine[J].Journal of Vibration Engineering,2011,24(6):619-632.(in Chinese) [11] 李朝峰,刘广超,周世华,等.双转子多盘转子系统的动态特性[J].东北大学学报(自然科学版),2013,34(7):994-998.LI Chaofeng,LIU Guangchao,ZHOU Shihua,et al.Dynamic characteristics of dual-rotor multi-disks-rotor system[J].Journal of Northeastern University (Natural Science),2013,34(7):994-998.(in Chinese) [12] FEI Z X,TONG S G,WEI C.Investigation of the dynamic characteristics of a dual rotor system and its start-up simulation based on finite element method[J].Journal of Zhejiang University (Science A:Applied Physics and Engineering),2013,14(4):268-280. [13] 陈萌,马艳红,刘书国,等.航空发动机整机有限元模型转子动力学分析[J].北京航空航天大学学报,2007,33(9):1013-1016.CHEN Meng,MA Yanhong,LIU Shuguo,et al.Rotor dynamic analysis of whole aero-engine models based on finite element method[J].Journal of Beijing University of Aeronautics and Astronautics,2007,33(9):1013-1016.(in Chinese) [14] 高金海,洪杰.航空发动机整机动力特性建模技术研究[J].战术导弹技术,2006(3):29-35.GAO Jinhai,HONG Jie.Study of modeling technique for dynamic characteristics of engine casing[J].Tactical Missile Technology,2006(3):29-35.(in Chinese) [15] 张大义,刘烨辉,洪杰,等.航空发动机整机动力学模型建立与振动特性分析[J].推进技术,2015,36(5):768-773.ZHANG Dayi,LIU Yehui,Hong Jie,et al.Investigation on dynamical modeling and vibration characteristics for aero engine[J].Journal of Propulsion Technology,2015,36(5):768-773.(in Chinese) [16] LI D F,GUNTER E J.Component mode synthesis of large rotor systems[J].Journal of Engineering for Gas Turbines and Power,1981,104(3):552-560. [17] WANG W,KIRKHOPE J.Component mode synthesis for multi-shaft rotors with flexible inter-shaft bearings[J].Journal of Sound and Vibration,1994,173(4):537-555. [18] 杨喜关,罗贵火,原鹏,等.模态综合法在双转子系统建模中的应用与验证[J].机械科学与技术,2014,33(10):1450-1454.YANG Xiguan,LUO Guihuo,YUAN Peng,et al.Application and verification of the modal synthesis method in dual-rotor system modeling[J].Mechanical Science and Technology for Aerospace Engineering,2014,33(10):1450-1454.(in Chinese) [19] 邱吉宝.计算结构动力学[M].合肥:中国科学技术大学出版社,2009. [20] 钟一谔,何衍宗,王正,等.转子动力学[M].北京:清华大学出版社,1987. [21] 张大义,刘烨辉,梁智超,等.航空发动机双转子系统临界转速求解方法[J].推进技术,2015,36(2):292-298.ZHANG Dayi,LIU Yehui,LIANG Zhichao,et al.Prediction for critical speed of double spools system in aero engines[J].Journal of Propulsion Technology,2015,36(2):292-298.(in Chinese)
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