Abstract:To analyze aeroengine varying speed rotor system with sudden change mass in accelerating process and work condition, the equations of dynamic parameters based on the instantaneous changing on the unbalance and the action process of linear quadratic regulator(LQR) on the rotor system are proposed. Both finite element method and transfer matrix method are used to establish the analysis model of power turbine rotor and verify the effectiveness. The influence of bearing stiffness, sudden change mass and LQR controller to the transient response of dynamic parameters is researched. This study finds that stiffness has a certain regular rules to the change of parameters and LQR can effectively reduce the transient response of amplitude caused by sudden change.
[1] 唐洪文,陆永忠,廖道训. 挤压油膜头型转自系统突加质量的响应特性[J]. 华中科技大学学报,2002,30(11): 95-97.
Tang H W, Lu Y Z, Liao D X. Characteristics of imbalance response in the sliding bearing-flexible rotor system[J]. Huazhong University of Science and Technology(Nature Science edition), 2002,30(11): 95-97.
[2] A. Tondl, Some Problems of Rotor Dynamics, Chapman and Hall, London,1965.
[3] A.S.Das, J.K.Dutt, K,Ray. Active control of coupled flexural- torsional vibration in a flexible rotor-bearing system using electromagnetic actuator[J]. International Journal of Non- Linear Mechanics, 2011, 46(9):1093-1109.
[4] 任兴民,顾家柳.航空发动机转子——支撑系统的突加不平衡响应. 振动工程学报,1991,4(3):57-82.
Ren X M, GU J L.Response of suddenly applied unbalance for aeroengine rotor-bearing systems[J]. Journal of Vibration Engineering, 1991,4(3): 57-82. (in Chinese)
[5] Braut S J, Zigulic R, Butkovic M, Numerical and experi- mental analysis of a shaft bow influence on a rotor to stator contact dynamics, Journal of Mechanical Engineering, 2008, 54(10): 693-706.
[6] 姚国志,邱阳,方同,等. 多层挤压型电流变阻尼器在转子振动控制中的实验研究[J].航空学报, 1998, 19(5): 570-574.
Yao G Z,Qiu Y,Fang T, et al. Experimental study of a multiple squeeze films electrorh-eological damper for vibra- tion control of rotor system[J]. Acta Aeronautica et Astronautica Sinica, 1998,19(5):570-574.
[7] 夏南,孟光,冯心海. 油膜惯性力对双盘栓子SFD系统突加不平衡和加速响应特性的影响[J]. 航空动力学报, 2000,15(1):71-74.
[8] Su Y R, He L D. Study on online elimination of sudden unbalance-induced vibration using active balancing techno- logy[J]. High Technology Letters, 2012, 16(2): 210-214.
[9] Gunter Edgar J,Chen Wen Jeng, Dynamic analysis of an 1150MW turbine-generator[J], Proceedings of the ASME Power Conference,Chicago,2005,Part A:437-443.
[10] 顾家柳等编著. 转子动力学[M]. 北京:北京国防工业出版社, 1988: 46-58.
GU J L, et al. Rotor dynamic.Beijing: National Defence Industry Press,1988: 46-58.(in Chinese)
[11] 岳聪,任兴民,邓旺群,杨永锋. 基于升速响应信息柔性转子系统的多阶多平面瞬态动平衡方法[J]. 航空动力学报, 2013, 28(11): 2953-2599.
YUE C, REN X M, DENG W Q, etal. Multi-plane and multi-critical transient dynamic balance method based on rising speed response information of flexible rotor system[J]. Journal of Aerospace Power, 2013, 28 (11): 2953-2599.
[12] Saptarshi Das, Indranil Pan et al. LQR based improved discrete PID controller design via optimum selection of weighting matrices using fractional order integral performance index[J]. Applied Mathematical Modeling, 2013, 6(15): 4253-4268.
[13] ZHANG G M, OU L L, MENG Li, WANG X G. LQR control for homogeneous agents with multi-graph topology[J]. Acta Automatica Sinica,2013,39(6): 913-919.
[14] G.Burgess, R.Rio. T700 power turbine rotor multiplane/ multispeed balancing demonstration[R]. MTI Technical Report, NASA Contractor Report CR-159586, Prepared for NASA-Lewis Research Center under Contract No. NAS3-18529, 1979.
[15] J.Wahon, C.Lee, M.Martm. High speed balancing applied to the T700 engine[R]. MTI Technical Report No. MTI87TR56, NASA Contractor Report CR-180899, Prepared for NASA- Lewis Research Center under Contract No. NAS3-23929 and NAS3-24633, March 1989.