DYNAMIC STUDY OF RUB-IMPACT OF DUAL-ROTOR SYSTEM AND EXPERIMENTAL VERIFICATION BASED ON VIBRATION ACCELERATION
WANG Nanfei1JIANG Dongxiang1 HAN Te1,2XU Hongzhi1
1. Tsinghua University, State Key Laboratory of Control and Simulation of Power System and Generation Equipment, Beijing 100084, China;
2.AVIC Aero engine Control Institute, Wuxi Jiangsu 214063, China
Based on the rub-impact characteristics of aero-engine, the dynamic model of dual-rotor system with rub-impact is established.The elastic deformation, contact penetration and elastic damping support during rub-impact occurred between the casing and wheel disk are fully considered. A finite element model and its boundary conditions of quayside gantry crane are established in this paper.Collision force and friction are calculated by utilizing Hertz contact theory and Coulomb model, then kinetic differential equations of rub-impact under dry rubbing status is derived. The first ten natural frequencies, the corresponding mode shapes and time-history of displacement response are given based on the analysis of the modes and dynamic response of this gantry crane system. The calculation and analysis above may be helpful for preventing the gantry crane from working on resonant area and for keeping the oversize dynamic deformation under restraint, which can be applied to design quayside gantry crane systems.Applying the variable step size fourth order Runge-Kutta method, rub response of dual-rotor system is obtained. As for aero-engine, it may not be accessible to directly obtain the displacement signal, only to acquire the acceleration signal. In order to extract the bearing pedestal acceleration vibration characteristics under rub-impact status, dual-rotor system test rig is designed. The rub-impact experiments are carried out and the vibration acceleration signals collected from bearing pedestal are analyzed by means of frequency spectrum and envelop analysis methods in order to extract the rubbing faults’ characteristics. The results that frequency doubling and multiple frequency from two different exciting sources can be considered as typical characteristics of rub-impact in aero-engine. The beat vibration usually becomes noticeable when the speed difference of the dual-rotor speed is less than 20% of the operating speed. Dynamic simulation are in accordance with the experiments to verify the effectiveness of the proposed rub-impact model of dual-rotor system.
王南飞1, 蒋东翔1, 韩特1,2,徐洪志1. 双转子系统动静碰摩动力学研究与基于振动加速度的实验验证[J]. 振动与冲击, 2017, 36(14): 71-76.
WANG Nanfei1JIANG Dongxiang1 HAN Te1,2XU Hongzhi1. DYNAMIC STUDY OF RUB-IMPACT OF DUAL-ROTOR SYSTEM AND EXPERIMENTAL VERIFICATION BASED ON VIBRATION ACCELERATION. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(14): 71-76.
[1] 刘永泉,王德友,洪杰,等.航空发动机整机振动控制技术分析[J]. 航空发动机,2013, 39 (5):1-18.
LIU Yong-quan, WANG De-you, HONG Jie, et a1.Analysis of whole aero-engine vibration control technology [J]. Aero-engine, 2013, 39 (5):1-18.
[2] 王俨凯,王理,廖明夫.航空发动机整机测振中的基本问题分析[J].航空发动机,2012, 38 (3) : 49-53.
WANG Yan-kai, WANG Li, LIAO Ming-fu. Analysis of basic problems for aero-engine vibration measurement[J].Aero-engine, 2012, 38 (3) : 49-53.
[3] 陈果. 含不平衡-碰摩-基础松动耦合故障的转子-滚动轴承系统非线性动力响应分析[J]. 振动与冲击,2008,27(9):100-104.
CHEN Guo. Nonlinear dynamic response analysis of rotor-ball bearing system including unbalance-rubbing-looseness coupl-ed faults [J]. Journal of vibration and shock, 2008, 27 (9):100-104.
[4] Muszynaka A. Rotor-to-stationary element rub-related vibration phenomenon in rotating machinery-literature survey [J]. Sound and vibration digest,1989, 21(3):3-11.
[5] Ahmad S. Rotor Casing Contact Phenomenon in Rotor Dynamics -Literature Survey [J]. Journal of Vibration and Control, 2010, 16(9):1369-1377.
[6]陈予恕, 张华彪. 航空发动机整机动力学研究进展与展[J]. 航空学报, 2011, 32(8):1371-1391.
CHEN Yu-shu, ZHANG Hua-biao. Review and prospect on the research of dynamics of complete aero-engine systems [J]. Acta Aeronautica et astronautica sinca, 2011, 32(8):1371-1391.
[7]太兴宇, 马辉, 谭祯, 等. 基于连续体旋转梁模型的碰摩故障动力学特性分析[J]. 振动与冲击,2013, 32(18): 43-48.
TAI Xing-yu, MA Hui, TAN Zhen, et al. Dynamic characterist-ics of a continuous rotating beam model with a rubbing fault [J]. Journal of vibration and shock, 2013, 32(18): 43-48.
[8] Turner K, Adams M, Dunn M. Simulation of engine blades tip rub inducevibration [R]. ASME 2005-GT-68217.
[9]Zhang Y M,Wen B C,Liu Q L. Sensitivity of rotor-stator systems withrubbing [J]. Mechanics of Structures and Machines, 2002, 30(2): 203-211.
[10] Roques S, Legrand M, Cartraud P, et al. Modeling of a rotorspeed transient response with radial rubbing [J]. Journal ofSound and Vibration, 2010, 329(5): 527-546.
[11]陈松霆, 吴志强. 反向旋转双转子碰摩振动分析[J]. 振动与冲击, 2012, 31(23):142-147.
CHEN Song-ting, WU Zhi-qiang. Rubbing vibration analysis for a counter-rotating dual-rotor system [J]. Journal of vibrati-on and shock, 2012, 31(23):142-147.
[12]高艳蕾, 李勇, 王德友. 转子-机匣系统碰摩故障特征试验研究[J]. 航空发动机, 2002(4):16-21.
GAO Yan-lei, LI Yong, WANG De-you. Experimental study of rubbingfault of rotor-case system [J]. Aeroengine, 2002 (4): 16-21.
[13]晏砺堂, 王德友. 航空双转子发动机动静件碰摩振动特征研究[J]. 航空动力学报, 1998(2):173-176.
YAN Litang, WANG Deyou. Aviation dual rotor engine stator rubbingvibration characteristics of touch research [J]. Journal of AerospacePower, 1998, 13(2): 173-176.
[14] Lin F, Schoen M P, Korde U A. Numerical investigation with rub relatedvibration in rotating machinery [J]. Journal of Vibration andControl, 2001, 7(6): 833-848.
[15]胡绚, 罗贵火, 高德平. 反向旋转双转子稳态响应计算分析与试验[J]. 航空动力学报, 2007, 22(7):1044-1049.
HU Xuan, LUO Gui-huo, GAO De-ping. Numerical analysis and experimentof counter-rotating dual-rotor’s steady respo-nse [J]. Journal ofAerospace Power, 2007, 22(7): 1044-1049.
[16]单颖春, 刘献栋, 何田,等. 双转子系统碰摩有限元接触分析模型及故障诊断[J]. 航空动力学报, 2005, 20(5):789-794.
SHAN Ying-chun,LIU Xian-dong,HE tian,et al. Dual rotor systemwith rub impact finite element contact analysis model and fault diagnosis[J]. Journal of Aerospace Power, 2005, 20(5):789-794.
[17]孟越, 李其汉. 应用整体传递系数法分析复杂转子系统转静件碰摩振动特征[J]. 航空动力学报, 2003, 18(1):146-150.
MENG Yue, LI Qi-han. Application of whole transfer coeffici-entmethod for the analysis of complicated rotor system with rubbing vibrationcharacteristics [J]. Journal of Aerospace Power, 2003, 18(1): 146-150.
[18]罗贵火, 胡绚, 杨喜光. 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 Gui-huo, HU Xuan, YANG Xi-guang. Nonlinear dynam-ic performance analysis of counter-rotating dual-rotor system [J]. Journal of vibration engineering, 2009, 22(3): 268-273.
[19]马辉,杨健,宋溶泽,等.转子系统碰摩故障实验研究进展与展望[J]. 振动与冲击,2014,33(6): 1-12.
MA Hui, YANG Jian, SONG Rong-ze, et al. Review and pros-pect on the research of rub-impact experiment of rotor systems [J]. Journal of vibration and shock, 2014,33(6): 1-12.
[20]Bu scarell o R T .Practical solutions to machinery and mainten-ance vibration problems [M]. 4th ed. Denver: UpdateInternational, 2002.
[21]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 Hai-lun, CHEN Guo. Dynamic response analysis of dual rotor-ball bearing-statorcoupling system for aero-engine [J]. Journal of Aerospace Power, 2009, 24(6):1284-129