Analysis of transient vibration of single-thick-disk rotor crossing two orders of critical speeds
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摘要: 航空发动机特殊的鼓式压气机结构可简化为径向转动惯量大于轴向转动惯量的厚盘转子系统,其做正进动时存在两个固有频率.计算了单-厚盘转子分别以定角加速度和定功率过两阶临界转速时对不平衡激振力的瞬态响应,其中定功率厚盘转子还与外界能源发生非线性耦合.结果发现,单-厚盘转子的低阶振型为轴的弯曲,高阶振型为盘的偏摆,其中高阶模态是厚盘转子特有模态;过临界转速时瞬态振动由转子的自由振动和强迫振动合成;当功率不足够提供转子通过临界转速时,出现外界能源与转子系统的能量耦合,造成瞬态振动急剧增大而"失速".Abstract: The special structure of drum type compressor of aero-engine, which can be simplified as a thick-disk rotor system whose radial moment of inertia is greater than the axial one, has two inherent frequencies when whirling forward. Transient response to unbalance exciting force of single, thick-disk rotor crossing two orders of critical speeds in constant angular acceleration and constant working power was calculated respectively, and the nonlinear coupling between the thick-disk rotor and energy occurred at the latter. The results show that the low order vibration shape of single, thick-disk rotor is shaft's bend, the higher one disk's inclination, wherein the higher order mode is unique feature of thick-disk rotor; when rotor crosses the critical speed, its transient vibration is composed of free vibration and forced vibration; when the power is not enough to provide the rotor crossing critical speeds, the coupling between external energy and the rotor system will appear, resulting in a sharp increasing stall phenomenon.
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[1] 袁惠群.转子动力学基础[M].北京:冶金工业出版社, 2013:64. Yuan H Q.Basic theory of rotor-dynamics[M].Beijing:Metallurgical Industry Press, 2013:64(in Chinese). [2] Liu Z S, Huang S L, Su J X, et al.Nonlinear dynamic analysis of an unsymmetrical generator-bearing system[J].Journal of Vibration and Acoustics, 2007, 129(4):448-457. [3] 刘占生,黄森林,苏杰先,等.非对称柔性转子系统的动力特性分析[J].振动工程学报, 2002, 15(2):210-214. Liu Z S, Huang S L, Su J X, et al.Dynamic analysis of unsymmetrical flexible rotor system[J].Journal of Vibration Engineering, 2002, 15(2):210-214(in Chinese). [4] Shu X D, Chen L P, Wei X H.Analysis of axial deformation of cross wedge rolling asymmetric shaft part based on finite element method[J].Applied Mechanics and Materials, 2011, 101-102:396-399. [5] Nandi A, Neogy S.An efficient scheme for stability analysis of finite element asymmetric rotor models in a rotating frame[J].Finite Elements in Analysis and Design, 2005, 41(14):1343-1364. [6] Genta G.Whirling of unsymmetrical rotors:A finite element approach based on complex co-ordinates[J].Journal of Sound and Vibration, 1988, 124(1):27-53. [7] Darpe A K, Gupta K, Chawla A.Transient response and breathing behaviour of a cracked Jeffcott rotor[J].Journal of Sound and Vibration, 2004, 272:207-243. [8] 邹剑,陈进,董广明.裂纹转子过亚临界转速瞬态响应特性[J].上海交通大学学报, 2003, 37(7):1106-1109. Zou J, Chen J, Dong G M.Research on transient response characteristics of a cracked rotor passage through subcritical speed[J].Journal of Shanghai Jiao Tong University, 2003, 37(7):1106-1109(in Chinese). [9] Sekhar A S.Transient analysis of a cracked rotor passing through critical speed[J].Journal of Sound and Vibration, 1994, 173(3):415-421. [10] 张文.转子动力学理论基础[M].北京:科学出版社, 1990:17. Zhang W.Basic theory of rotor-dynamics[M].Beijing:Science Press, 1990:17(in Chinese). [11] 方之楚,骆振黄.单盘转子系统过临界转速时的瞬态响应[J].上海交通大学学报, 1987, 21(3):23-36. Fang Z C, Luo Z H.Transient response of single-disk rotor system on passing through critical speed[J].Journal of Shanghai Jiao Tong University, 1987, 21(3):23-36(in Chinese). [12] Hassenpflug H L, Flack R D, Gunter E J.Influence of acceleration on the critical speed of a Jeffcott rotor[J].Journal of Engineering for Power, 1981, 103(1):108-113. [13] 晏砺堂.结构系统动力特性分析[M].北京:北京航空航天大学出版社, 1989:183-186. Yan L T.Analysis on dynamic characteristics of structure system[M].Beijing:Beihang University Press, 1989:183-186(in Chinese). [14] 岳聪,任兴民,邓旺群.柔性转子加速过临界瞬态响应特征分析[J].机械科学与技术, 2013, 32(3):395-398. Yue C, Ren X M, Deng W Q.Analyzing transient response of flexible rotor across critical speeds[J].Mechanical Science and Technology for Aerospace Engineering, 2013, 32(3):395-398(in Chinese). [15] Xiao X W, Yang S Z, Huang Y Y.1/2 subharmonic resonance of a shaft with unsymmetrical stiffness[J].Chinese Journal of Mechanical Engineering, 2003(1):26-30. [16] 林富生,孟光.重力对具有初弯和不对称刚度机动转子特性的影响[J].机械强度, 2002, 24(3):320-326. Lin F S, Meng G.Influence of gravity on the dynamics of a maneuvering rotor with initial bending and asymmetry[J].Journal of Mechanical Strength, 2002, 24(3):320-326(in Chinese). [17] 陆鹏,叶黔元.电机转子参数振动的稳定性分析[J].上海海运学院学报, 2001, 22(3):183-186. Lu P, Ye Q Y.The stability analysis of motor-rotor's parameter vibration[J].Journal of Shanghai Maritime University, 2001, 22(3):183-186(in Chinese).
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